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20 pages, 2917 KiB  
Article
Robust Beamforming for Frequency Diverse Array Multiple-Input Multiple-Output Radar: Mitigating Steering Vector Mismatches and Suppressing Main Lobe Interference
by Yumei Tan, Yong Li, Wei Cheng, Limeng Dong, Langhuan Geng and Muhammad Moin Akhtar
Remote Sens. 2025, 17(4), 577; https://doi.org/10.3390/rs17040577 - 8 Feb 2025
Viewed by 254
Abstract
Frequency Diverse Array Multiple-Input Multiple-Output (FDA-MIMO) radar introduces range-dependent beamforming capabilities, enhancing its ability to differentiate true targets from main lobe jammers. However, this innovation also introduces new challenges, particularly when errors disrupt the transceiver steering vectors, leading to performance degradation in main [...] Read more.
Frequency Diverse Array Multiple-Input Multiple-Output (FDA-MIMO) radar introduces range-dependent beamforming capabilities, enhancing its ability to differentiate true targets from main lobe jammers. However, this innovation also introduces new challenges, particularly when errors disrupt the transceiver steering vectors, leading to performance degradation in main lobe interference suppression. To this end, a robust beamforming method tailored for FDA-MIMO radar systems is proposed to address signal mismatches caused by range–angle errors, array element position errors, frequency offsets, and coherent local scattering. Initially, a logarithmic function is used to decouple range and angle, enabling the design of a stable beampattern. The desired steering vector is then computed by addressing an optimization problem that leverages the interference-plus-noise covariance matrix alongside the signal-plus-noise covariance matrix. This estimation process, combined with mismatch correction through the diagonal loading method, significantly stabilizes the covariance matrix and enhances the robustness of FDA-MIMO systems. Extensive simulations validate the proposed approach across various error scenarios specific to FDA-MIMO radars, demonstrating superior robustness in main lobe interference suppression. These findings contribute to advancing robust beamforming techniques for FDA-MIMO radar systems, paving the way for enhanced performance in complex and error-prone environments. Full article
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<p>Diagram of colocated FDA-MIMO radar.</p>
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<p>FDA-MIMO radar reception and processing.</p>
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<p>Three-dimensional transceiver beampatterns under different methods: (<b>a</b>) optimal; (<b>b</b>) FDA-MIMO RDL; (<b>c</b>) FDA-MIMO RCB; (<b>d</b>) FDA-MIMO WCP; (<b>e</b>) FDA-MIMO SD; (<b>f</b>) FDA-MIMO RSDLB (ours).</p>
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<p>Comparison of beampatterns in angular and range dimensions for different optimization methods without any error: (<b>a</b>) angle profile; (<b>b</b>) range profile.</p>
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<p>Beampattern comparison of angular and range dimensions under different optimization methods with range and angle error: (<b>a</b>) angle profile; (<b>b</b>) range profile.</p>
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<p>Robust FDA-MIMO radar suppression results for main lobe interference in the error-free case: (<b>a</b>) optimal; (<b>b</b>) FDA-MIMO RDL; (<b>c</b>) FDA-MIMO RCB; (<b>d</b>) FDA-MIMO WCP; (<b>e</b>) FDA-MIMO SD; (<b>f</b>) FDA-MIMO RSDLB (ours).</p>
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<p>Results demonstrate robustness of FDA-MIMO radar against main lobe interference under angle and range errors: (<b>a</b>) optimal; (<b>b</b>) FDA-MIMO RDL; (<b>c</b>) FDA-MIMO RCB; (<b>d</b>) FDA-MIMO WCP; (<b>e</b>) FDA-MIMO SD; (<b>f</b>) FDA-MIMO RSDLB (ours).</p>
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<p>Variation in output SINR with SNR for different beamformers in the absence of array errors.</p>
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<p>Output SINR vs. input SNR under random range–angle error.</p>
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<p>Output SINR vs. input SNR under random frequency offset error.</p>
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<p>Output SINR vs. input SNR under random array unit position error.</p>
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<p>Output SINR vs. SNR for different beamformers under coherent scattering conditions.</p>
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25 pages, 13341 KiB  
Article
Static-Aperture Synthesis Method in Remote Sensing and Non-Destructive Testing Applications
by Olha Inkarbaieva, Denys Kolesnikov, Danyil Kovalchuk, Volodymyr Pavlikov, Volodymyr Ponomaryov, Beatriz Garcia-Salgado, Valerii Volosyuk and Semen Zhyla
Mathematics 2025, 13(3), 502; https://doi.org/10.3390/math13030502 - 3 Feb 2025
Viewed by 621
Abstract
The study is dedicated to the statistical optimization of radar imaging of surfaces with the synthetic aperture radar (SAR) technique, assuming a static surface area and applying the ability to move a sensor along a nonlinear trajectory via developing a new method and [...] Read more.
The study is dedicated to the statistical optimization of radar imaging of surfaces with the synthetic aperture radar (SAR) technique, assuming a static surface area and applying the ability to move a sensor along a nonlinear trajectory via developing a new method and validating its operability for remote sensing and non-destructive testing. The developed models address the sensing geometry for signals reflected from a surface along with the observation signal–noise equation, including correlation properties. Moreover, the optimal procedures for coherent radar imaging of surfaces with the static SAR technology are synthesized according to the maximum likelihood estimation (MLE). The features of the synthesized algorithm are the decoherence of the received oscillations, the matched filtering of the received signals, and the possibility of using continuous signal coherence. Furthermore, the developed optimal and quasi-optimal algorithms derived from the proposed MLE have been investigated. The novel framework for radio imaging has demonstrated good overall operability and efficiency during simulation modeling (using the MATLAB environment) for real sensing scenes. The developed algorithms of spatio–temporal signal processing in systems with a synthesized antenna with nonlinear carrier trajectories open a promising direction for creating new methods of high-precision radio imaging from UAVs and helicopters. Full article
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<p>Surface-sensing geometry in static-aperture synthesis of antenna.</p>
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<p>Block diagram of the radar for radio imaging of surfaces with the static-aperture synthesis technique.</p>
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<p>Block diagram of the radar imaging in the simulation model.</p>
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<p>Scanner trajectory (<b>a</b>) and the corresponding ambiguity function (<b>b</b>) for linear motion along the <span class="html-italic">x</span>-coordinate.</p>
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<p>Scanner trajectory (<b>a</b>) and corresponding ambiguity function (<b>b</b>) for linear diagonal motion.</p>
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<p>Scanner trajectory (<b>a</b>) and the corresponding ambiguity function (<b>b</b>) for L-shaped motion.</p>
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<p>Scanner trajectory (<b>a</b>) and corresponding ambiguity function (<b>b</b>) for circular motion.</p>
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<p>Scanner trajectory (<b>a</b>) and corresponding ambiguity function (<b>b</b>) for an hourglass-shape motion.</p>
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<p>Scanner trajectory (<b>a</b>) and corresponding ambiguity function (<b>b</b>) for a Y-shaped motion.</p>
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<p>Scanner trajectory (<b>a</b>) and corresponding ambiguity function (<b>b</b>) for Z-shaped motion.</p>
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<p>Scanner trajectory (<b>a</b>) and corresponding uncertainty function (<b>b</b>) for a square motion.</p>
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<p>Scanner trajectory (<b>a</b>) and corresponding ambiguity function (<b>b</b>) for an “isosceles triangle” motion.</p>
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<p>Scanner trajectory (<b>a</b>) and corresponding ambiguity function (<b>b</b>) for a W-shaped motion.</p>
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<p>Ideal radar image (<b>a</b>) and radar images obtained for the following motion trajectories: (<b>b</b>) linear motion along the <span class="html-italic">x</span>-coordinate; (<b>c</b>) linear diagonal motion; (<b>d</b>) L-shaped motion, (<b>e</b>) circular motion; (<b>f</b>) hourglass-shape motion; (<b>g</b>) Y-shaped motion; (<b>h</b>) Z-shaped motion; (<b>i</b>) square motion; (<b>j</b>) “isosceles triangle” motion; (<b>k</b>) W-shaped motion.</p>
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<p>Scanner trajectories and corresponding ambiguity functions for a square motion with (<b>a</b>,<b>b</b>) 2.5 mm variation; (<b>c</b>,<b>d</b>) 5 mm variation; (<b>e</b>,<b>f</b>) 7.5 mm variation.</p>
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<p>Scanner trajectories and corresponding ambiguity functions for a square motion with (<b>a</b>,<b>b</b>) 2.5 mm variation; (<b>c</b>,<b>d</b>) 5 mm variation; (<b>e</b>,<b>f</b>) 7.5 mm variation.</p>
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<p>Radar images obtained for the square trajectory with variations: (<b>a</b>) 2.5 mm; (<b>b</b>) 5 mm; (<b>c</b>) 7.5 mm.</p>
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<p>MSE errors as function of the radio scanner trajectory variations (red line represents the trend of MSE increase over the variation value).</p>
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15 pages, 1439 KiB  
Technical Note
An Optimized Diffuse Kalman Filter for Frequency and Phase Synchronization in Distributed Radar Networks
by Xueyin Geng, Jun Wang, Bin Yang and Jinping Sun
Remote Sens. 2025, 17(3), 497; https://doi.org/10.3390/rs17030497 - 31 Jan 2025
Viewed by 459
Abstract
Distributed radar networks have emerged as a key technology in remote sensing and surveillance due to their high transmission power and robustness against node failures. When performing coherent beamforming with multiple radars, frequency and phase deviations introduced by independent oscillators lead to a [...] Read more.
Distributed radar networks have emerged as a key technology in remote sensing and surveillance due to their high transmission power and robustness against node failures. When performing coherent beamforming with multiple radars, frequency and phase deviations introduced by independent oscillators lead to a decrease in transmission power. This paper proposes an optimized diffuse Kalman filter (ODKF) for the frequency and phase synchronization. Specifically, each radar locally estimates its frequency and phase, then shares this information with neighboring nodes, which are used for incremental update and diffusion update to adjust local estimates. To further reduce synchronization errors, we incorporate a self-feedback strategy in the diffusion step, in which each node balances its own estimate with neighbor information by optimizing the diagonal weights in the diffusion matrix. Numerical simulations demonstrate the superior performance of the proposed method in terms of mean squared deviation (MSD) and convergence speed. Full article
(This article belongs to the Special Issue Array and Signal Processing for Radar)
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<p>(<b>a</b>) A schematic diagram of wireless synchronization for distributed UAV-borne radars, with <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>5</mn> </mrow> </semantics></math> as an example. Each colored line represents the transmitted waveform propagating toward a far field point target. (<b>b</b>) The transmitted signals are coherently superimposed at the point target.</p>
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<p>Radiated normalized energy of 5 radars randomly arranged in the x-y plane, with the statistical beamforming gain at <math display="inline"><semantics> <mrow> <mi>θ</mi> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math> (indicated by a red cross symbol), is designated as the evaluation metric for synchronization performance. (<b>a</b>) Pattern of synchronized radars. (<b>b</b>) Pattern of unsynchronized radars with <math display="inline"><semantics> <mrow> <msub> <mi>σ</mi> <mi>φ</mi> </msub> <mo>=</mo> <msup> <mn>20</mn> <mo>∘</mo> </msup> </mrow> </semantics></math> phase errors.</p>
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<p>Diagram of the diffusion Kalman filter.</p>
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<p>Normalized statistical beamforming gain with phase variances <math display="inline"><semantics> <msub> <mi>σ</mi> <mi>ϕ</mi> </msub> </semantics></math>.</p>
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<p>Normalized statistical beamforming gain with frequency variances <math display="inline"><semantics> <mrow> <msub> <mi>σ</mi> <msub> <mi>f</mi> <mi>D</mi> </msub> </msub> <mo>,</mo> <msub> <mi>σ</mi> <mi>f</mi> </msub> </mrow> </semantics></math> and time <span class="html-italic">t</span>.</p>
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<p>The network topology consists of <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>20</mn> </mrow> </semantics></math> distributed radar nodes labeled 1–20, where the dotted lines represent the wireless synchronization links.</p>
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<p>Frequency synchronization deviations (in Hz) over 15 iterations for DFPC, KF-DFPC, Metropolis-based DKF, and ODKF methods, under conditions <math display="inline"><semantics> <mrow> <msub> <mi>σ</mi> <mi>f</mi> </msub> <mo>=</mo> <mn>100</mn> </mrow> </semantics></math> Hz and <math display="inline"><semantics> <mrow> <msub> <mi>σ</mi> <msub> <mi>f</mi> <mi>D</mi> </msub> </msub> <mo>=</mo> <mn>50</mn> </mrow> </semantics></math> Hz. Each colored line represents the frequency deviation of a different node.</p>
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<p>Phase synchronization deviations (in degree) over 15 iterations for DFPC, KF-DFPC, Metropolis-based DKF, and ODKF methods, under condition <math display="inline"><semantics> <mrow> <msub> <mi>σ</mi> <mi>φ</mi> </msub> <mo>=</mo> <mi>π</mi> </mrow> </semantics></math>. Each colored line represents the phase deviation of a different node.</p>
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<p>Comparison of normalized MSD for frequency synchronization using DKF, DFPC, KF-DFPC, and FA-DKF with different <math display="inline"><semantics> <mi>γ</mi> </semantics></math> value.</p>
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<p>Comparison of normalized MSD for phase synchronization using DKF, DFPC, KF-DFPC, and FA-DKF with different <math display="inline"><semantics> <mi>γ</mi> </semantics></math> value.</p>
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<p>Eigenvalue distributions of the diffusion matrix <math display="inline"><semantics> <mi mathvariant="bold">C</mi> </semantics></math>. The red dotted line indicates the second largest eigenvalue.</p>
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29 pages, 21542 KiB  
Article
Study of Hydrologic Connectivity and Tidal Influence on Water Flow Within Louisiana Coastal Wetlands Using Rapid-Repeat Interferometric Synthetic Aperture Radar
by Bhuvan K. Varugu, Cathleen E. Jones, Talib Oliver-Cabrera, Marc Simard and Daniel J. Jensen
Remote Sens. 2025, 17(3), 459; https://doi.org/10.3390/rs17030459 - 29 Jan 2025
Viewed by 571
Abstract
The exchange of water, sediment, and nutrients in wetlands occurs through a complex network of channels and overbank flow. Although optical sensors can map channels at high resolution, they fail to identify narrow intermittent channels colonized by vegetation. Here we demonstrate an innovative [...] Read more.
The exchange of water, sediment, and nutrients in wetlands occurs through a complex network of channels and overbank flow. Although optical sensors can map channels at high resolution, they fail to identify narrow intermittent channels colonized by vegetation. Here we demonstrate an innovative application of rapid-repeat interferometric synthetic aperture radar (InSAR) to study hydrologic connectivity and tidal influences in Louisiana’s coastal wetlands, which can provide valuable insights into water flow dynamics, particularly in vegetation-covered and narrow channels where traditional optical methods struggle. Data used were from the airborne UAVSAR L-band sensor acquired for the Delta-X mission. We applied interferometric techniques to rapid-repeat (~30 min) SAR imagery of the southern Atchafalaya basin acquired during two flights encompassing rising-to-high tides and ebbing-to-low tides. InSAR coherence is used to identify and differentiate permanent open water channels from intermittent channels in which flow occurs underneath the vegetation canopy. The channel networks at rising and ebbing tides show significant differences in the extent of flow, with vegetation-filled small channels more clearly identified at rising-to-high tide. The InSAR phase change is used to identify locations on channel banks where overbank flow occurs, which is a critical component for modeling wetland hydrodynamics. This is the first study to use rapid-repeat InSAR to monitor tidal impacts on water flow dynamics in wetlands. The results show that the InSAR method outperforms traditional optical remote sensing methods in monitoring water flow in vegetation-covered wetlands, providing high-resolution data to support hydrodynamic models and critical support for wetland protection and management. Full article
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<p>(<b>a</b>) Study area showing the UAVSAR image footprint (blue rectangle) and other areas discussed in the text. (<b>b</b>) Water level at the Amerada Pass and Berwick tide gauges during the two days of the UAVSAR acquisitions. (<b>c</b>,<b>d</b>) Plots showing the tidal variation during the ebbing-to-low tide (<b>c</b>) and rising-to-high tide (<b>d</b>) UAVSAR flights. The times of the UAVSAR acquisitions are indicated with vertical lines.</p>
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<p>Mean coherence image of NN and NN1 and 2 interferograms for the Wax Lake Delta area during rising tide (<b>a</b>,<b>b</b>) and ebbing tide (<b>c</b>,<b>d</b>) (Geographic location and extent of the area are shown with a purple dotted rectangle in <a href="#remotesensing-17-00459-f001" class="html-fig">Figure 1</a>. See <a href="#app1-remotesensing-17-00459" class="html-app">Supplement Figure S1</a> for full frame version). (<b>e</b>) Illustration showing the water level in a channel containing vegetation and SAR backscatter from the channel surface depending on the presence of emergent vegetation, which varies across the tidal cycle. (<b>f</b>) Variation in coherence with time over pixels identified as open water, wetland, and small/intermittent channels (locations were identified using high-resolution NAIP imagery (<a href="#app1-remotesensing-17-00459" class="html-app">Supplement Figure S4</a>)). Orange line in (<b>d</b>) shows the island used to identify representative locations for (<b>f</b>).</p>
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<p>Histograms of mean coherence of (<b>a</b>) NN and (<b>b</b>) NN1 and 2 rising-tide interferograms. (<b>c</b>) Flowchart of the steps to derive the channel maps from coherence showing the thresholds used. Pixels below the <math display="inline"><semantics> <mrow> <msub> <mi>γ</mi> <mrow> <mi>m</mi> <mi>e</mi> <mi>a</mi> <mi>n</mi> <mo>_</mo> <mi>N</mi> <mi>N</mi> </mrow> </msub> </mrow> </semantics></math> threshold are identified as open water channels. Pixels below the <math display="inline"><semantics> <mrow> <msub> <mi>γ</mi> <mrow> <mi>m</mi> <mi>e</mi> <mi>a</mi> <mi>n</mi> <mo>_</mo> <mi>N</mi> <mi>N</mi> <mn>12</mn> </mrow> </msub> </mrow> </semantics></math> threshold are identified as intermittent channels only if they are not identified as open water pixels.</p>
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<p>(<b>a</b>) Connected components grown over channel mask. (<b>b</b>) Connected components after morphological erosion operation. (<b>c</b>) Channel bank pixels obtained after subtracting (<b>b</b>) from (<b>a</b>). (<b>d</b>) Flowchart of the steps to derive overbank flow from channel mask and phase timeseries. Geographic location and extent of the area in are shown with an orange dotted rectangle in <a href="#remotesensing-17-00459-f001" class="html-fig">Figure 1</a>.</p>
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<p>(<b>a</b>) Channel mask using mean coherence of rising-tide NN interferograms; (<b>b</b>) channel mask using mean coherence of rising-tide NN1 and 2 interferograms; (<b>c</b>) combined mask retaining channels from (<b>a</b>) as open water channels and channels only in (<b>b</b>) as intermittent channels. The wetland category (green) contains pixels that maintained high average coherence in both NN and NN1 and 2 interferograms. (<b>d</b>) InSAR phase velocity from rising-tide data showing areas of water-level change. The warmer colors (yellow-red) indicate a rise in water level and the cooler colors (cyan-blue) indicate a fall in water level.</p>
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<p>Comparison of optical (<b>a</b>) AVIRIS-NG and (<b>b</b>) NAIP water channel masks with (<b>c</b>) UAVSAR mask. Classification accuracy indicating the location of water class FPs and FNs in the UAVSAR mask compared to (<b>d</b>) AVIRIS-NG and (<b>e</b>) NAIP masks. In d and e, white color indicates pixels’ class matches between both optical and SAR masks (see <a href="#app1-remotesensing-17-00459" class="html-app">Supplement Figure S2</a> for full frame version).</p>
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<p>(<b>a</b>) InSAR phase velocity (<math display="inline"><semantics> <mrow> <msub> <mi>ϕ</mi> <mrow> <mi>v</mi> <mi>e</mi> <mi>l</mi> </mrow> </msub> </mrow> </semantics></math>) for the rising-tide data set containing signals from both water-level change and tropospheric water vapor delay, the latter particularly evident in the far range (right-hand side); (<b>b</b>) illustrated procedure to identify noisy CCs shown for a single CC; (<b>c</b>–<b>e</b>) procedure applied to three different areas indicated with black rectangles in (<b>a</b>): (<b>c</b>) InSAR phase velocity; (<b>d</b>) phase velocity averaged over the interior of each CC; (<b>e</b>) noisy CCs removed after comparison of average CC phase velocity to the average phase velocity on the CC’s bank. Dotted ellipses focus on the CCs illustrated.</p>
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<p>(<b>a</b>) SAR channel mask derived from rising-tide InSAR data. (<b>b</b>) Equivalent channel network observed with SAR using the ebbing-tide InSAR data. (<b>c</b>) Focus on the rectangle in (<b>a</b>) for the rising-tide channel network and (<b>d</b>) ebbing-tide channel network.</p>
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<p>(<b>a</b>) SAR channel mask and locations of islands (white polygons) showing the extent of intermittent channels identified by (<b>b</b>) SAR, (<b>c</b>) AVIRIS-NG, and (<b>d</b>) NAIP-derived channel masks. White polygon in (<b>a</b>) show the location of islands zoomed in (<b>b</b>–<b>d</b>).</p>
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<p>Water-level increase and decrease identified by InSAR phase change on the banks of water channels as a function of time during (<b>a</b>) rising tide and (<b>b</b>) ebbing tide. Geographic location and extent of the area are shown with an orange dotted rectangle in <a href="#remotesensing-17-00459-f001" class="html-fig">Figure 1</a>.</p>
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<p>UAVSAR phase change observed in the interior of the wetland during (<b>a</b>,<b>d</b>) rising tide and (<b>b</b>,<b>e</b>) ebbing tide. The difference between where the water goes during the different stages of the tides is clear. Overbank flow is more extensive at rising/high tide, but small channels still transport water within the island interior at ebbing/low tide. (<b>c</b>,<b>f</b>) Optical images to show the landscape (source: Google Earth [<a href="#B86-remotesensing-17-00459" class="html-bibr">86</a>,<a href="#B87-remotesensing-17-00459" class="html-bibr">87</a>]). Service Layer Credits: © 2024 Airbus. Geographic location of the areas in a&amp;d are shown with red circle and ellipse in <a href="#remotesensing-17-00459-f001" class="html-fig">Figure 1</a>.</p>
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<p>(<b>a</b>,<b>b</b>) UAVSAR phase velocity showing water-level change rate for rising tide and ebbing tide; (<b>c</b>,<b>d</b>) channels derived using a threshold on phase; (<b>e</b>,<b>f</b>) channels derived using a threshold on coherence; and (<b>g</b>,<b>h</b>) channels derived using both phase and coherence.</p>
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<p>The influence of acquisition time demonstrated on a continuously water-logged area in the interior of the wetland using close-ups of (<b>a</b>) SAR; (<b>b</b>) AVIRIS-NG; (<b>c</b>) NAIP-derived channel masks and (<b>d</b>) the aerial image of the corresponding area [<a href="#B96-remotesensing-17-00459" class="html-bibr">96</a>]. Geographic location and extent of the area are shown with a white polygon in <a href="#remotesensing-17-00459-f009" class="html-fig">Figure 9</a>.</p>
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12 pages, 20046 KiB  
Communication
Time-Series Change Detection Using KOMPSAT-5 Data with Statistical Homogeneous Pixel Selection Algorithm
by Mirza Muhammad Waqar, Heein Yang, Rahmi Sukmawati, Sung-Ho Chae and Kwan-Young Oh
Sensors 2025, 25(2), 583; https://doi.org/10.3390/s25020583 - 20 Jan 2025
Viewed by 563
Abstract
For change detection in synthetic aperture radar (SAR) imagery, amplitude change detection (ACD) and coherent change detection (CCD) are widely employed. However, time-series SAR data often contain noise and variability introduced by system and environmental factors, requiring mitigation. Additionally, the stability of SAR [...] Read more.
For change detection in synthetic aperture radar (SAR) imagery, amplitude change detection (ACD) and coherent change detection (CCD) are widely employed. However, time-series SAR data often contain noise and variability introduced by system and environmental factors, requiring mitigation. Additionally, the stability of SAR signals is preserved when calibration accounts for temporal and environmental variations. Although ACD and CCD techniques can detect changes, spatial variability outside the primary target area introduces complexity into the analysis. This study presents a robust change detection methodology designed to identify urban changes using KOMPSAT-5 time-series data. A comprehensive preprocessing framework—including coregistration, radiometric terrain correction, normalization, and speckle filtering—was implemented to ensure data consistency and accuracy. Statistical homogeneous pixels (SHPs) were extracted to identify stable targets, and coherence-based analysis was employed to quantify temporal decorrelation and detect changes. Adaptive thresholding and morphological operations refined the detected changes, while small-segment removal mitigated noise effects. Experimental results demonstrated high reliability, with an overall accuracy of 92%, validated using confusion matrix analysis. The methodology effectively identified urban changes, highlighting the potential of KOMPSAT-5 data for post-disaster monitoring and urban change detection. Future improvements are suggested, focusing on the stability of InSAR orbits to further enhance detection precision. The findings underscore the potential for broader applications of the developed SAR time-series change detection technology, promoting increased utilization of KOMPSAT SAR data for both domestic and international research and monitoring initiatives. Full article
(This article belongs to the Section Remote Sensors)
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<p>Location of study site along with KOMPSAT-5 time-series image footprints.</p>
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<p>Dataset for change detection analysis: (<b>a</b>) optical footprint of the study site (source: Google Earth; image acquisition date: 4 October 2024), (<b>b</b>) KOMPSAT-5 SAR imagery of the study site, and (<b>c</b>) generated ground truth for accuracy assessment.</p>
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<p>Preprocessing of KOMPSAT-5 time-series images: (<b>a</b>) KOMPSAT-5 time-series stack, (<b>b</b>) KOMPSAT-5 radiometric terrain-corrected time-series stack, (<b>c</b>) KOMPSAT-5 radiometric terrain-corrected normalized time-series stack.</p>
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<p>Detailed methodological framework adopted for change detection using KOMPSAT-5 images.</p>
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<p>Experimental results to obtain appropriate statistical homogeneous pixels (SHPs).</p>
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<p>Statistical homogeneous pixels (SHPs) selection: (<b>a</b>) KOMPSAT-5 image, (<b>b</b>) resultant SHPs over urban segments. The San Francisco port area, highlighted within the red box, was selected for time-series change detection using the proposed technique.</p>
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<p>Change detection results by utilizing KOMPSAT-5 time-series images: (<b>a</b>) pre-image, (<b>b</b>) post-image, (<b>c</b>) de-correlation between pre- and post-image, (<b>d</b>) adaptive thresholding results, (<b>e</b>) detected changed area, (<b>f</b>) ground truth data.</p>
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17 pages, 1729 KiB  
Review
Recent Advances in Tunable External Cavity Diode Lasers
by Yan Wang and Yue Song
Appl. Sci. 2025, 15(1), 206; https://doi.org/10.3390/app15010206 - 29 Dec 2024
Viewed by 794
Abstract
A narrow linewidth tunable laser source is a critical component in various fields, including laser radar, quantum information, coherent communication, and precise measurement. Tunable external cavity diode lasers (ECDLs) demonstrate excellent performance, such as narrow linewidth, wide tunable range, and low threshold current, [...] Read more.
A narrow linewidth tunable laser source is a critical component in various fields, including laser radar, quantum information, coherent communication, and precise measurement. Tunable external cavity diode lasers (ECDLs) demonstrate excellent performance, such as narrow linewidth, wide tunable range, and low threshold current, making them increasingly versatile and widely applicable. This article provides an overview of the fundamental structures and recent advancements in external cavity semiconductor lasers. In particular, we discuss external cavity semiconductor lasers based on quantum well and quantum dot gain chips. The structure of the gain chip significantly influences laser’s performance. External cavity quantum well laser has a narrower linewidth, higher power, and better mode stability. Conversely, external cavity quantum dot laser provides a wider tunable range and a remarkably lower threshold current. Furthermore, dual-wavelength external cavity tunable diode lasers are gaining importance in applications such as optical switching and terahertz radiation generation. With the continuous optimization of chips and external cavity structures, external cavity diode lasers are increasingly recognized as promising light sources with narrow linewidth and wide tunability, opening up broader application prospects. Full article
(This article belongs to the Special Issue Optical Sensors: Applications, Performance and Challenges)
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<p>The basic structure of external cavity semiconductor laser.</p>
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<p>External cavity semiconductor configurations with diffraction grating. (<b>a</b>) Littrow configuration (<b>b</b>) Littman configuration.</p>
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<p>(<b>a</b>) Schematic diagram of configuration A: grating lines are perpendicular to the p-n junction; (<b>b</b>) Schematic diagram of configuration B: grating lines are parallel to the p-n junction [<a href="#B33-applsci-15-00206" class="html-bibr">33</a>]. ©Elsevier. Copyright 2017 Optics and Laser Technology.</p>
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<p>Littman/Metcalf ECDL with adjustable dynamic spectral broadness [<a href="#B39-applsci-15-00206" class="html-bibr">39</a>]. ©OSA. Copyright 2023 Optics Express.</p>
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<p>Design of the laser cavity. A periscope, etalon and narrow band pass filter was placed on a rotating stage [<a href="#B48-applsci-15-00206" class="html-bibr">48</a>]. <tt>©</tt>OSA. Copyright 2023 Optics Express.</p>
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<p>(<b>a</b>) Experimental setup of the ECDL with a dual-period holograph grating [<a href="#B72-applsci-15-00206" class="html-bibr">72</a>]; ©Elsevier. Copyright 2006 Optics Communications. (<b>b</b>) Experimental setup of the dual-wavelength ECDL with a diffraction grating and a volume Bragg grating [<a href="#B74-applsci-15-00206" class="html-bibr">74</a>]; ©AIP Publishing. Copyright 2016 Applied Physics Letters. (<b>c</b>) Experimental setup of the dual-wavelength external-cavity laser with a DFB laser and a volume Bragg grating [<a href="#B76-applsci-15-00206" class="html-bibr">76</a>]. ©JSAP. Copyright 2018 Japanese Journal of Applied Physics.</p>
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23 pages, 11445 KiB  
Article
Distributed Target Detection with Coherent Fusion in Tracking Based on Phase Prediction
by Aoya Wang, Jing Lu, Shenghua Zhou and Linhai Wang
Remote Sens. 2024, 16(24), 4779; https://doi.org/10.3390/rs16244779 - 21 Dec 2024
Viewed by 671
Abstract
In distributed radar, a coherent system often gains attention for its higher detection potential in contrast to its non-coherent counterpart. However, even for a distributed coherent radar, it is difficult to coherently accumulate local observations in the searching mode if target returns in [...] Read more.
In distributed radar, a coherent system often gains attention for its higher detection potential in contrast to its non-coherent counterpart. However, even for a distributed coherent radar, it is difficult to coherently accumulate local observations in the searching mode if target returns in local channels are decorrelated. In order to obtain the superiority of coherent processing while overcoming the real implementation difficulties of a coherent framework, this paper studies a distributed coherent detection algorithm for fusion detection. It is utilized in detecting a target during tracking while a target is searched for in a non-coherent manner. From historic observations on target tracking, relative phase delays in different channels are predicted by a phase lock loop and then used to compensate phases for observations in the current frame. Moreover, to enhance the detection performance of distributed radar during tracking, a switching rule between phase prediction-based coherent and non-coherent processing is proposed based on their detection performance. Numerical results indicate that the switching operation can improve the detection probability during tracking, and the non-coherent operation can still provide a moderate detection performance if the phase prediction is unreliable. Full article
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<p>Configuration of a distributed radar.</p>
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<p>Phase prediction-based distributed coherent test.</p>
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<p>Block diagram of a PLL.</p>
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<p>A flowchart of the proposed switching strategy.</p>
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<p>Comparison of detection performance via coherent and non-coherent tests with different SNR in past observations and different number of observations. (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>5</mn> </mrow> </semantics></math> dB; (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>12</mn> </mrow> </semantics></math> dB.</p>
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<p>The comparison of the exact and approximated PDF and detection probability of the coherent test. (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>10</mn> <mo>,</mo> <mo> </mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math> dB; (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>10</mn> <mo>,</mo> <mo> </mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math> dB; (<b>c</b>) <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>10</mn> <mo>,</mo> <mo> </mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math> dB; (<b>d</b>) <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>10</mn> <mo>,</mo> <mo> </mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math> dB; (<b>e</b>) <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>10</mn> <mo>,</mo> <mo> </mo> </mrow> </semantics></math><math display="inline"><semantics> <mrow> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>5</mn> </mrow> </semantics></math> dB; (<b>f</b>) <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>10</mn> <mo>,</mo> <mo> </mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>5</mn> </mrow> </semantics></math> dB; (<b>g</b>) <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>5</mn> <mo>,</mo> <mo> </mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math> dB; (<b>h</b>) <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>5</mn> <mo>,</mo> <mo> </mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math> dB.</p>
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<p>A comparison of the exact and the approximated detection probability of the coherent test. (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>10</mn> <mo>,</mo> <mo> </mo> <mo> </mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mn>8</mn> <mspace width="3.33333pt"/> <mi>dB</mi> <mo>,</mo> <mo> </mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>10</mn> <mspace width="3.33333pt"/> <mi>dB</mi> </mrow> </semantics></math>; (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>7</mn> <mo>,</mo> <mo> </mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>10</mn> <mo>,</mo> <mo> </mo> <mo> </mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math> dB.</p>
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<p>The detection performance comparison of the coherent, the non-coherent, and the switchable detector during tracking. (<b>a</b>) SNR = 10 dB for 200 frames; (<b>b</b>) SNR = 14 dB for 200 frames; (<b>c</b>) SNR changes linearly from 9 dB to 13 dB for 450 frames; (<b>d</b>) SNR changes linearly from 13 dB to 9 dB for 450 frames.</p>
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<p>Detection performance of the coherent and the non-coherent detectors under different past SNR estimates: <math display="inline"><semantics> <mrow> <msub> <mover accent="true"> <mi>λ</mi> <mo stretchy="false">^</mo> </mover> <mi>p</mi> </msub> <mo>=</mo> <mn>6</mn> <mspace width="4.pt"/> <mi>dB</mi> <mo>,</mo> <mo> </mo> <mn>7</mn> <mspace width="4.pt"/> <mi>dB</mi> <mo>,</mo> <mo> </mo> <mn>9</mn> <mspace width="4.pt"/> <mi>dB</mi> <mo>,</mo> <mo> </mo> <mn>10</mn> <mspace width="4.pt"/> <mi>dB</mi> </mrow> </semantics></math>. (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mspace width="3.33333pt"/> </mrow> </semantics></math>8 dB; (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>λ</mi> <mrow> <mi>p</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mspace width="3.33333pt"/> </mrow> </semantics></math>8 dB.</p>
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<p>Detection performance of switchable detection under different SNR estimates. (<b>a</b>) SNR estimates deviate from actual SNRs by 2 dB, 3 dB; (<b>b</b>) SNR estimates deviate from actual SNRs by <math display="inline"><semantics> <mrow> <mn>0.5</mn> </mrow> </semantics></math> dB, 1 dB.</p>
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20 pages, 8370 KiB  
Article
Long Coherent Processing Intervals for ISAR Imaging: Combined Complex Signal Kurtosis and Data Resampling
by Wenao Ruan and Chang Liu
Remote Sens. 2024, 16(24), 4758; https://doi.org/10.3390/rs16244758 - 20 Dec 2024
Viewed by 403
Abstract
Airborne inverse synthetic aperture radar (ISAR) imaging of maneuvering targets is important for maritime surveillance. Long coherent processing intervals (CPIs) can bring better resolution and signal-to-clutter-plus-noise ratio (SCNR). Due to the change in the effective rotation vector (ERV), the conventional Range-Doppler (RD) algorithm [...] Read more.
Airborne inverse synthetic aperture radar (ISAR) imaging of maneuvering targets is important for maritime surveillance. Long coherent processing intervals (CPIs) can bring better resolution and signal-to-clutter-plus-noise ratio (SCNR). Due to the change in the effective rotation vector (ERV), the conventional Range-Doppler (RD) algorithm is not appropriate for producing a well-focused image. To resolve the above issue, we propose a long CPI imaging algorithm through ERV estimation and data resampling. This algorithm estimates the Doppler length of the sub-aperture image by complex signal kurtosis (CSK) at first. Then, the change in the ERV can be estimated because the ship Doppler length is always proportional to the ERV. Finally, the echo is resampled according to the estimation of the time-varying ERV to obtain the echo from a constant ERV. Computer simulation experiments and measured data have verified the effectiveness of the proposed method. Experimental results demonstrate that the proposed method can achieve ISAR imaging with longer CPIs at low SNR and inhomogeneous clutter. Full article
(This article belongs to the Special Issue SAR Images Processing and Analysis (2nd Edition))
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<p>Airborne SAR imaging geometry.</p>
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<p>ISAR turntable model.</p>
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<p>Diagram of the flow of the ERV estimation algorithm. (<b>a</b>) Sub-aperture division; (<b>b</b>) Sub-aperture image; (<b>c</b>) Doppler length estimation.</p>
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<p>Flowchart of the proposed method.</p>
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<p>The ship model. (<b>a</b>) Three-dimensional view of the ship model; (<b>b</b>) Top view; (<b>c</b>) Side view; (<b>d</b>) Main view.</p>
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<p>Comparison of the first-order origin moment algorithm and the proposed method for ERV estimation. (<b>a</b>) The first-order origin moment algorithm; (<b>b</b>) Proposed method based on CSK; (<b>c</b>) The actual yaw rate.</p>
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<p>Imaging results. (<b>a</b>) RID; (<b>b</b>) RD; (<b>c</b>) FOOM-DR; (<b>d</b>) Proposed method.</p>
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<p>Comparisons of the azimuth slices of the scatterer A in four sub-aperture images in <a href="#remotesensing-16-04758-f007" class="html-fig">Figure 7</a>.</p>
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<p>Comparison of the first-order origin moment algorithm and the proposed method for ERV estimation. (<b>a</b>) The first-order origin moment algorithm; (<b>b</b>) Proposed method based on CSK; (<b>c</b>) The actual roll and pitch rate.</p>
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<p>Imaging results. (<b>a</b>) RID; (<b>b</b>) RD; (<b>c</b>) FOOM-DR; (<b>d</b>) Proposed method.</p>
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<p>Imaging results. (<b>a</b>) RID; (<b>b</b>) RD; (<b>c</b>) FOOM-DR; (<b>d</b>) Proposed method.</p>
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<p>Comparisons of the azimuth slices of the scatterer A in four sub-aperture images in <a href="#remotesensing-16-04758-f010" class="html-fig">Figure 10</a>.</p>
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<p>The excerpt of the data set contaminated by RFI. (<b>a</b>) the zoomed-in view of T1; (<b>b</b>) the zoomed-in view of T2; (<b>c</b>) amplitude image.</p>
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<p>CSK of the azimuth Doppler cells. (<b>a</b>) The CSK of <a href="#remotesensing-16-04758-f012" class="html-fig">Figure 12</a>a; (<b>b</b>) The CSK of <a href="#remotesensing-16-04758-f012" class="html-fig">Figure 12</a>b.</p>
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19 pages, 2508 KiB  
Article
A New Multi-Channel Triangular FMCW LADAR Signals Denoising Method Based on Improved SMVMD
by Wei Li, Qinghai Dong, Bingnan Wang and Maosheng Xiang
Remote Sens. 2024, 16(24), 4650; https://doi.org/10.3390/rs16244650 - 12 Dec 2024
Viewed by 522
Abstract
Due to the short coherent integration time and other issues, the echo signal is seriously contaminated by noise, which reduces the target recognition accuracy of frequency modulation continuous wave (FMCW) laser radar (LADAR) in three-dimensional imaging. To solve it, this paper proposes a [...] Read more.
Due to the short coherent integration time and other issues, the echo signal is seriously contaminated by noise, which reduces the target recognition accuracy of frequency modulation continuous wave (FMCW) laser radar (LADAR) in three-dimensional imaging. To solve it, this paper proposes a denoising method combining the improved dung beetle optimizer (DBO), successive multivariate variational mode decomposition (SMVMD), and singular-value decomposition (SVD). In our method, the improved DBO is applied to find the optimal balance parameter for decomposition; SMVMD jointly and adaptively decomposes multi-channel signals into intrinsic mode functions (IMFs) with aligned center frequencies and finds the target IMF with the optimal peak side lobe ratio (PSLR) among all decomposition results. To find possible multi-target peaks, the maximum singular value in the SVD of the target IMF is used as a threshold to filter the singular values in each IMF. The denoised signal can be obtained by accumulating the reconstructed IMFs with the low-rank approximation method. Finally, the targets are filtered by the frequency differences between the pulse pressure peaks of the opposite frequency-modulated signals from the same period. The proposed method can suppress more noise and extract appropriate target peaks for signals that are indistinguishable to peaks by amplitude, which is verified using actual FMCW LADAR three-dimensional imaging data. Full article
(This article belongs to the Section Engineering Remote Sensing)
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<p>DBO-SMVMD-SVD algorithm flow.</p>
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<p>Schematic diagram of detector array and receiving spot.</p>
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<p>Single-spot dechirp signal: (<b>a</b>) time domain signal; (<b>b</b>) frequency domain signal after FFT.</p>
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<p>EMD for channel four negative dechirp signal: (<b>a</b>) IMF time domain signal; (<b>b</b>) frequency domain signal after FFT.</p>
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<p>VMD for channel four negative dechirp signal: (<b>a</b>) IMF time domain signal; (<b>b</b>) frequency domain signal after FFT.</p>
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<p>Proposed method for channel four negative dechirp signal: (<b>a</b>) IMF time domain signal; (<b>b</b>) frequency domain signal after FFT.</p>
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<p>EMD for channel two positive dechirp signal: (<b>a</b>) IMF time domain signal; (<b>b</b>) frequency domain signal after FFT.</p>
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<p>VMD for channel two positive dechirp signal: (<b>a</b>) IMF time domain signal; (<b>b</b>) frequency domain signal after FFT.</p>
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<p>Proposed method for channel two positive dechirp signals: (<b>a</b>) IMF time domain signal; (<b>b</b>) frequency domain signal after FFT.</p>
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<p>Four channels positive and negative dechirp signal reconstruction results (The red circle indicates that the peak is selected preliminarily before frequency threshold filtering. The green star indicates the peak has been selected as a target after frequency threshold filtering.).</p>
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23 pages, 28195 KiB  
Article
Slow-Moving Landslide Hazard Assessment Using LS-Unilab Deep Learning Model with Highlighted InSAR Deformation Signal
by Xiangyang Li, Peifeng Ma, Song Xu, Hong Zhang, Chao Wang, Yukun Fan and Yixian Tang
Remote Sens. 2024, 16(24), 4641; https://doi.org/10.3390/rs16244641 - 11 Dec 2024
Viewed by 789
Abstract
Slow-moving landslides are often precursors of catastrophic failure, posing a major threat to human life and property safety. Interferometric synthetic aperture radar (InSAR) has become a crucial tool for investigating slow-moving landslides hazard because of its high-precision detection capability for slow surface deformation. [...] Read more.
Slow-moving landslides are often precursors of catastrophic failure, posing a major threat to human life and property safety. Interferometric synthetic aperture radar (InSAR) has become a crucial tool for investigating slow-moving landslides hazard because of its high-precision detection capability for slow surface deformation. However, landslides usually occur in alpine canyon areas and vegetation coverage areas where InSAR measurements are still limited by temporal and spatial decorrelation and atmospheric influences. In addition, there are several difficulties in monitoring the multiscale characterization of landslides from the InSAR results. To address this issue, this paper proposes a novel method for slow-moving landslide hazard assessment in low-coherence regions. A window-based atmosphere correction method is designed to highlight the surface deformation signals of InSAR results in low-coherence regions and reduce false alarms in landslide hazard assessment. Then, the deformation annual velocity rate map, coherence map and DEM are used to construct the InSAR sample set. A landslide hazard assessment model named Landslide-SE-Unilab is subsequently proposed. The global–local relationship aggregation structure is designed to capture the spatial relationship between local pixel-level deformation features and global landslides, which can reduce the number of missed assessments and false assessments of small-scale landslides. Additionally, a squeeze-and-excitation network is embedded to adjust the weight relationship between the features of each channel in order to enhance the performance of network evaluation. The method was evaluated in Kangding city and the Jinsha River Valley in the Hengduan Mountains, where a total of 778 potential landslides with slow deformation were identified. The effectiveness and accuracy of this approach for low-coherence landslide hazard assessment are demonstrated through comparisons with optical images and previous research findings, as well as evaluations via time-series deformation results. Full article
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<p>Flowchart of the proposed technique.</p>
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<p>Flowchart of SBAS-InSAR with a window-based atmospheric correction.</p>
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<p>Flowchart of the sample production process.</p>
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<p>The LS-Unilab model. The deformation annual velocity rate map, coherence map, and DEM are selected for the model input.</p>
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<p>Study area and fault distribution. The black lines represent faults (source: <a href="https://docs.gmt-china.org/latest/dataset-CN/CN-faults/" target="_blank">https://docs.gmt-china.org/latest/dataset-CN/CN-faults/</a>, accessed on 16 May 2024). The red dots denote the earthquake locations since 2008 (source: <a href="https://data.earthquake.cn/" target="_blank">https://data.earthquake.cn/</a>, accessed on 16 May 2024), and the black boxes represent the Sentinel-1 data coverage used in this work. The background is the SRTM1 DEM (source: <a href="http://step.esa.int/auxdata/dem/SRTMGL1/" target="_blank">http://step.esa.int/auxdata/dem/SRTMGL1/</a>, accessed on 16 May 2024).</p>
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<p>Field photographs of the landslides along the Jinsha River.</p>
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<p>Annual velocity rate of path 26 from Sentinel-1 images from Jan 2022 to Sep 2023 and statistical results, where regions A–D are selected for detailed analysis. (<b>a</b>) The uncorrected results; (<b>b</b>) the elevation correction results; (<b>c</b>) the window based atmospheric correction results; and (<b>d</b>) the statistical results of (<b>a</b>,<b>c</b>).</p>
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<p>Annual deformation velocity of Kangding city (<b>a</b>) and the Jinsha River Gorge (<b>b</b>) from Sentinel-1 images from January 2022 to September 2023, where regions I–VI are selected for detailed analysis. (<b>c</b>) Zoomed-in view of area IV in (<b>b</b>), where the locations of P1–P6 correspond to the field photographs in <a href="#remotesensing-16-04641-f006" class="html-fig">Figure 6</a>. (<b>d</b>,<b>e</b>) (corresponding to areas (4) and (3) in <a href="#remotesensing-16-04641-f009" class="html-fig">Figure 9</a>) Corresponded to regions A and B in black circle of (<b>a</b>); (<b>f</b>,<b>g</b>) (corresponded to areas (2) and (1) in <a href="#remotesensing-16-04641-f009" class="html-fig">Figure 9</a>) Corresponded to regions V and VI in (<b>b</b>).</p>
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<p>Assessment results of slow-moving landslides, where regions in circles are selected for detailed analysis.</p>
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<p>Landslide hazard assessment results and statistical results for Kangding city (<b>a</b>,<b>c</b>) and the Jinsha River Gorge (<b>b</b>,<b>d</b>). The red triangles represent the locations of slow-moving landslides.</p>
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<p>Validation region in Kangding City; (<b>a</b>) Annual deformation rate map; (<b>b</b>) base image of the Sentinel-2 optical image; (<b>c</b>) model identification results; (<b>d</b>) threshold separation results.</p>
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<p>Validation region in the Jinsha River Gorge; (<b>a</b>) annual deformation rate map; (<b>b</b>) base image of the Sentinel-2 optical image; (<b>c</b>) model identification results; (<b>d</b>) threshold separation results.</p>
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<p>The upper background image is a Google Earth image overlaid with deformation rates, with red rectangles indicating the landslide identification results; the lower part shows the time-series deformation results of the monitoring points. (<b>a</b>–<b>d</b>) Areas of verification points in <a href="#remotesensing-16-04641-f010" class="html-fig">Figure 10</a>.</p>
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<p>Compared with other research results, the deformation period time is marked. (<b>a</b>) Results obtained by Zou et al. [<a href="#B45-remotesensing-16-04641" class="html-bibr">45</a>]; (<b>c</b>,<b>d</b>) results obtained by Liu et al. [<a href="#B12-remotesensing-16-04641" class="html-bibr">12</a>,<a href="#B13-remotesensing-16-04641" class="html-bibr">13</a>]; (<b>e</b>) results obtained by Zhang et al. [<a href="#B50-remotesensing-16-04641" class="html-bibr">50</a>]; (<b>b</b>,<b>f</b>) results obtained in the present study; (<b>g</b>–<b>k</b>) the Sentinel-2 optical imagery of areas delineated by black rectangles in (<b>f</b>). Red circels are selected for detailed analysis. The legend of the original text in the figure was redrawn.</p>
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21 pages, 6412 KiB  
Article
Detection of Flight Target via Multistatic Radar Based on Geosynchronous Orbit Satellite Irradiation
by Jia Dong, Peng Liu, Bingnan Wang and Yaqiu Jin
Remote Sens. 2024, 16(23), 4582; https://doi.org/10.3390/rs16234582 - 6 Dec 2024
Viewed by 645
Abstract
As a special microwave detection system, multistatic radar has obvious advantages in covert operation, anti-jamming, and anti-stealth due to its configuration of spatial diversity. As a high-orbit irradiation source, a geosynchronous orbit satellite (GEO) has the advantages of a low revisit period, large [...] Read more.
As a special microwave detection system, multistatic radar has obvious advantages in covert operation, anti-jamming, and anti-stealth due to its configuration of spatial diversity. As a high-orbit irradiation source, a geosynchronous orbit satellite (GEO) has the advantages of a low revisit period, large beam coverage area, and stable power of ground beam compared with traditional passive radar irradiation sources. This paper focuses on the key technologies of flight target detection in multistatic radar based on geosynchronous orbit satellite irradiation with one transmitter and multiple receivers. We carry out the following work: Firstly, we aim to address the problems of low signal-to-noise ratio (SNR) and range cell migration of high-speed cruise targets. The Radon–Fourier transform constant false alarm rate detector-range cell migration correction (RFT-CFAR-RCMC) is adopted to realize the coherent integration of echoes with range cell migration correction (RCM) and Doppler phase compensation. It significantly improves the SNR. Furthermore, we utilize the staggered PRF to solve the ambiguity and obtain multi-view data. Secondly, based on the aforementioned target multi-view detection data, the linear least square (LLS) multistatic positioning method combining bistatic range positioning (BR) and time difference of arrival positioning (TDOA) is used, which constructs the BR and TDOA measurement equations and linearizes by mathematical transformation. The measurement equations are solved by the LLS method, and the target positioning and velocity inversion are realized by the fusion of multistatic data. Finally, using target positioning data as observation values of radar, the Kalman filter (KF) is used to achieve flight trajectory tracking. Numerical simulation verifies the effectiveness of the proposed process. Full article
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<p>Spatial configuration of GEO-Airship bistatic radar.</p>
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<p>Maximum detection range of bistatic radar.</p>
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<p>Geometric configuration of GEO-Airships multistatic radar.</p>
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<p>Diagrammatic drawing of RFT.</p>
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<p>Algorithm flow chart of 2D-CA-CFAR.</p>
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<p>Phase compensation process in RCMC.</p>
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<p>Algorithm process of ambiguity resolution based on staggered PRF.</p>
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<p>Process of position and velocity inversion.</p>
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<p>Process of Kalman filter.</p>
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<p>Detection scene and original echo signal: (<b>a</b>) spatial configuration of radar target; (<b>b</b>) original echo signal in −40 dB.</p>
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<p>Result of coherent integration and parameters estimation: (<b>a</b>) RFT in parameter domain; (<b>b</b>) 2D-CA-CFAR in parameter domain.</p>
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<p>Results of MTD and the proposed algorithm: (<b>a</b>) echo of target 1 after MTD; (<b>b</b>) echo of target 2 after MTD; (<b>c</b>) echo of target 3 after MTD; (<b>d</b>) echo of target 1 by this algorithm; (<b>e</b>) echo of target 2 by this algorithm; and (<b>f</b>) echo of target 3 by this algorithm.</p>
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<p>Comparison of range and velocity of target 1 before and after ambiguity resolution by different Airship receivers: the above row is bistatic range, and the bottom row is radial velocity: (<b>a</b>,<b>c</b>) Airship R1; (<b>b</b>,<b>d</b>) Airship R2.</p>
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<p>The result of multistatic positioning combining BR and TDOA.</p>
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<p>Trajectory tracking based on Kalman filter.</p>
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<p>Relationship between echo SNR and detection probability.</p>
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<p>Error distribution of the position estimation and velocity inversion: (<b>a</b>) position error; and (<b>b</b>) velocity error.</p>
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<p>Distribution of error level: (<b>a</b>) position estimation; (<b>b</b>) MSE of position error in iteration; and (<b>c</b>) MSE of velocity error in iteration.</p>
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28 pages, 4219 KiB  
Article
Angle Expansion Estimation and Correction Based on the Lindeberg–Feller Central Limit Theorem Under Multi-Pulse Integration
by Jiong Cai, Rui Wang and Handong Yang
Remote Sens. 2024, 16(23), 4535; https://doi.org/10.3390/rs16234535 - 3 Dec 2024
Viewed by 504
Abstract
The radar monopulse angle measurement can obtain a target’s angle information within a single pulse, meaning that factors such as target motion and amplitude fluctuations, which vary over time, do not affect the angle measurement accuracy. However, in practical applications, when a target’s [...] Read more.
The radar monopulse angle measurement can obtain a target’s angle information within a single pulse, meaning that factors such as target motion and amplitude fluctuations, which vary over time, do not affect the angle measurement accuracy. However, in practical applications, when a target’s signal-to-noise ratio (SNR) is low, the single pulse signal is severely affected by noise, leading to a significant deterioration in angle measurement accuracy. Therefore, it is usually necessary to coherently integrate multiple pulses before estimating the angle. This paper constructs an angle expansion model for a multi-pulse angle measurement under coherent integration. The analysis reveals that even under noise-free conditions, after coherently integrating multiple pulses, the coupling of target amplitude fluctuations and motion state can still cause significant errors in the angle measurement. Subsequently, this paper conducts a detailed analysis of the impact of the amplitude fluctuations and target maneuvers on the random angle measurement error. It also derives approximate probability density functions of angle measurement errors under various fluctuation and motion scenarios based on the Lindeberg–Feller central limit theorem. In addition, based on the angle expansion model and the random error distribution, this paper proposes an angle correction algorithm based on multi-pulse integration and long-term estimation. Numerical experiments and radar data in the field verify the impact of target characteristics on the angle measurement under multi-pulse integration and the effectiveness of the angle correction algorithm. Full article
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<p>Beam patterns for the sum and difference beams with two feeds.</p>
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<p>Radar antenna planar coordinates and 3D antenna coordinate system.</p>
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<p>P.D.F comparison between the Monte Carlo simulation and angle expansion model in uniform linear motion scenario.</p>
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<p>P.D.F comparison between the Monte Carlo simulation and angle expansion model in uniform linear motion scenario.</p>
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<p>P.D.F comparison between the Monte Carlo simulation and angle expansion model in uniformly accelerated linear motion scenario.</p>
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<p>Angular error RMSE of the two angular measurement algorithms varies with the SNR under different motion scenarios for the Ku-band high-resolution phased array radar.</p>
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<p>Angular error RMSE of the two angular measurement algorithms varies with the SNR under different motion scenarios for S-band low-resolution radar.</p>
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<p>Ku-band high resolution phased array radar and high-precision RTK UAV for take-off.</p>
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<p>Multi-frame radar one-dimensional range profile of UAV echo under uniform linear motion and uniformly accelerated linear motion.</p>
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<p>Pitch angles from RTK and two angle estimation algorithms in uniform linear and uniformly accelerated linear motion scenarios.</p>
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16 pages, 4014 KiB  
Article
Radio Front-End for Frequency Agile Microwave Photonic Radars
by Aljaž Blatnik, Luka Zmrzlak and Boštjan Batagelj
Electronics 2024, 13(23), 4662; https://doi.org/10.3390/electronics13234662 - 26 Nov 2024
Viewed by 1058
Abstract
Recent advancements in photonic integrated circuits (PICs) have paved the way for a new era of frequency-agile coherent radar systems. Unlike traditional all-electronic RF radar techniques, fully photonic systems offer superior performance, overcoming bandwidth limitations and noise degradation when operating across S (2–4 [...] Read more.
Recent advancements in photonic integrated circuits (PICs) have paved the way for a new era of frequency-agile coherent radar systems. Unlike traditional all-electronic RF radar techniques, fully photonic systems offer superior performance, overcoming bandwidth limitations and noise degradation when operating across S (2–4 GHz), X (8–12 GHz), and K-band (12–40 GHz) frequencies. They also exhibit excellent phase noise performance, even at frequencies exceeding 20 GHz. However, current state-of-the-art PICs still suffer from high processing losses in the optical domain, necessitating careful design of the electrical RF domain. This study delves into the critical challenges of designing RF front-ends for microwave photonic radars, including stability, noise minimization, and intermodulation distortion reduction. To demonstrate the feasibility of the proposed design, a functional prototype is constructed, achieving a total power gain of 107 dB (radar system at 10 GHz) while minimizing signal noise degradation. Furthermore, a comprehensive demonstration of the RF front-end, encompassing both optical RF signal generation and experimental measurements of a rotor blade’s Doppler fingerprint with 0.5 Hz resolution, validates the proposed system’s performance. Full article
(This article belongs to the Special Issue Radar System and Radar Signal Processing)
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<p>(<b>a</b>) The optical and electrical domains in signal production in a simplified dual-band radar configuration [<a href="#B15-electronics-13-04662" class="html-bibr">15</a>]; DDS: Direct digital synthesis, MLL: Mode-locked laser, ADC: Analog-to-digital converter, MZM: Mach–Zehnder modulator. (<b>b</b>) Signal generation in different stages: (A)—MLL spectrum, (B)—modulated optical spectrum, (C)—PD output RF spectrum.</p>
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<p>Radar and lidar architecture on a single integrated photonic circuit; DAC: Digital-to-analog converter, TX: Transmitter, RX: Receiver, ADC: Analog-to-digital converter.</p>
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<p>Schematic diagram of the output and input RF chains. The values indicated on the transmitting and receiving stages represent worst-case scenarios. The transmitter power is set to enable measurements within a range of several hundred meters, adhering to ISM band limitations. The receiver power is the maximum input power that the amplifier chain can tolerate without incurring significant intermodulation distortion, which would degrade radar measurement performance.</p>
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<p>Experimental setup for generating stable X-band RF signals using optical heterodyne mixing.</p>
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<p>Schematic diagram of the RF front-end architecture.</p>
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<p>(<b>a</b>) S-parameters of a transmitter amplifier chain; (<b>b</b>) S-parameters of the directional couples; (<b>c</b>) S-parameters of the circulator; (<b>d</b>) 1-dB compression point of output amplifiers.</p>
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<p>Experimental setup for RF front-end evaluation.</p>
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<p>Antenna visualization: (<b>a</b>) simulated model; (<b>b</b>) experimental prototype.</p>
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<p>Schematic of a half-patch antenna group, with dimensions in millimeters.</p>
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<p>Comparison of simulated and measured antenna reflection coefficient (S11 parameter).</p>
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<p>Comparison of simulated and measured radiation patterns. (<b>a</b>) Horizontal plane, Directivity: 18.18 dBi; (<b>b</b>) Vertical plane, Directivity: 8.71 dBi.</p>
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<p>(<b>a</b>) Servo motor with a rectangular rotor blade attached to its shaft, serving as a known radar cross-section target. (<b>b</b>) Frequency domain reflection of the target at a constant speed of 26 revolutions per second.</p>
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<p>(<b>a</b>) FFT waterfall illustrating the response as rotor speed increases; (<b>b</b>) A detailed view of the primary frequency response used for UAV classification.</p>
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<p>RF front-end amplifier block diagram. The complex impedance is denoted in the figure by <math display="inline"><semantics> <mrow> <msub> <mi>Z</mi> <mi>x</mi> </msub> </mrow> </semantics></math> (<a href="#electronics-13-04662-t0A1" class="html-table">Table A1</a>).</p>
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<p>(<b>a</b>) Manufactured circuit board without enclosure. (<b>b</b>) PCB layout.</p>
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21 pages, 23870 KiB  
Article
Utilizing LuTan-1 SAR Images to Monitor the Mining-Induced Subsidence and Comparative Analysis with Sentinel-1
by Fengqi Yang, Xianlin Shi, Keren Dai, Wenlong Zhang, Shuai Yang, Jing Han, Ningling Wen, Jin Deng, Tao Li, Yuan Yao and Rui Zhang
Remote Sens. 2024, 16(22), 4281; https://doi.org/10.3390/rs16224281 - 17 Nov 2024
Viewed by 972
Abstract
The LuTan-1 (LT-1) satellite, launched in 2022, is China’s first L-band full-polarimetric Synthetic Aperture Radar (SAR) constellation, boasting interferometry capabilities. However, given its limited use in subsidence monitoring to date, a comprehensive evaluation of LT-1’s interferometric quality and capabilities is necessary. In this [...] Read more.
The LuTan-1 (LT-1) satellite, launched in 2022, is China’s first L-band full-polarimetric Synthetic Aperture Radar (SAR) constellation, boasting interferometry capabilities. However, given its limited use in subsidence monitoring to date, a comprehensive evaluation of LT-1’s interferometric quality and capabilities is necessary. In this study, we utilized the Differential Interferometric Synthetic Aperture Radar (DInSAR) technique to analyze mining-induced subsidence results near Shenmu City (China) with LT-1 data, revealing nine subsidence areas with a maximum subsidence of −19.6 mm within 32 days. Furthermore, a comparative analysis between LT-1 and Sentinel-1 data was conducted focusing on the aspects of subsidence results, interferometric phase, scattering intensity, and interferometric coherence. Notably, LT-1 detected some subsidence areas larger than those identified by Sentinel-1, attributed to LT-1’s high resolution, which significantly enhances the detectability of deformation gradients. Additionally, the coherence of LT-1 data exceeded that of Sentinel-1 due to LT-1’s L-band long wavelength compared to Sentinel-1’s C-band. This higher coherence facilitated more accurate capturing of differential interferometric phases, particularly in areas with large-gradient subsidence. Moreover, the quality of LT-1’s monitoring results surpassed that of Sentinel-1 in root mean square error (RMSE), standard deviation (SD), and signal-to-noise ratio (SNR). In conclusion, these findings provide valuable insights for future subsidence-monitoring tasks utilizing LT-1 data. Ultimately, the systematic differences between LT-1 and Sentinel-1 satellites confirm that LT-1 is well-suited for detailed and accurate subsidence monitoring in complex environments. Full article
(This article belongs to the Special Issue Advances in Remote Sensing for Land Subsidence Monitoring)
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<p>(<b>a</b>) Geographical location of the study area; (<b>b</b>) desert grass beach area; (<b>c</b>) open-pit mining area.</p>
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<p>Technical workflow chart.</p>
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<p>(<b>a</b>) LT-1 satellite data subsidence monitoring results in the study area; (<b>b</b>–<b>d</b>) enlarged views of typical subsidence areas; (<b>c1</b>,<b>d1</b>) are typical subsidence areas identified by both LT-1 and Sentinel-1 satellite data.</p>
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<p>(<b>a</b>) Sentinel-1 satellite data subsidence monitoring results in the study area; (<b>b</b>–<b>d</b>) enlarged views of typical subsidence areas.</p>
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<p>(<b>a</b>,<b>d</b>,<b>g</b>,<b>j</b>) Results from LT-1 satellite data; (<b>b</b>,<b>e</b>,<b>h</b>,<b>k</b>) results from Sentinel-1 satellite data; (<b>c</b>,<b>f</b>,<b>i</b>,<b>l</b>) Google Earth optical images. The dashed circles are areas of subsidence, the AA′ is profile line.</p>
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<p>Subsidence results along the A-A′ cross-section for LT-1 and Sentinel-1.</p>
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<p>(<b>d</b>,<b>e</b>) Interferometric phase maps of LT-1 and Sentinel-1 satellite data, respectively; (<b>a</b>–<b>c</b>) enlarged views of LT-1 satellite data, Sentinel-1 satellite data, and Google optical images in the first typical subsidence area; (<b>f</b>–<b>h</b>) the same for the second typical subsidence area. The dashed circles are areas of subsidence.</p>
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<p>(<b>d</b>,<b>e</b>) Backscatter intensity maps of LT-1 and Sentinel-1 satellite data, respectively; (<b>a</b>–<b>c</b>,<b>f</b>–<b>h</b>) enlarged views of LT-1 satellite data, Sentinel-1 satellite data, and Google optical images.</p>
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<p>(<b>d</b>,<b>e</b>) Coherence maps of LT-1 and Sentinel-1, respectively; (<b>a</b>–<b>c</b>,<b>f</b>–<b>h</b>) enlarged views of LT-1, Sentinel-1, and Google optical images in the typical subsidence areas A and B, respectively.</p>
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<p>(<b>a</b>–<b>c</b>) Statistical chart of coherence comparison in the study area, area A, and area B.</p>
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<p>The track of the LT-1 satellite observing the study area is shown in the left image, while the track of the Sentinel-1 satellite observing the study area is depicted in the right image.</p>
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<p>MDDG distribution from different SAR satellites under the variations of wavelength and resolution.</p>
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17 pages, 6219 KiB  
Article
DGGNets: Deep Gradient-Guidance Networks for Speckle Noise Reduction
by Li Wang, Jinkai Li, Yi-Fei Pu, Hao Yin and Paul Liu
Fractal Fract. 2024, 8(11), 666; https://doi.org/10.3390/fractalfract8110666 - 15 Nov 2024
Viewed by 736
Abstract
Speckle noise is a granular interference that degrades image quality in coherent imaging systems, including underwater sonar, Synthetic Aperture Radar (SAR), and medical ultrasound. This study aims to enhance speckle noise reduction through advanced deep learning techniques. We introduce the Deep Gradient-Guidance Network [...] Read more.
Speckle noise is a granular interference that degrades image quality in coherent imaging systems, including underwater sonar, Synthetic Aperture Radar (SAR), and medical ultrasound. This study aims to enhance speckle noise reduction through advanced deep learning techniques. We introduce the Deep Gradient-Guidance Network (DGGNet), which features an architecture comprising one encoder and two decoders—one dedicated to image recovery and the other to gradient preservation. Our approach integrates a gradient map and fractional-order total variation into the loss function to guide training. The gradient map provides structural guidance for edge preservation and directs the denoising branch to focus on sharp regions, thereby preventing over-smoothing. The fractional-order total variation mitigates detail ambiguity and excessive smoothing, ensuring rich textures and detailed information are retained. Extensive experiments yield an average Peak Signal-to-Noise Ratio (PSNR) of 31.52 dB and a Structural Similarity Index (SSIM) of 0.863 across various benchmark datasets, including McMaster, Kodak24, BSD68, Set12, and Urban100. DGGNet outperforms existing methods, such as RIDNet, which achieved a PSNR of 31.42 dB and an SSIM of 0.853, thereby establishing new benchmarks in speckle noise reduction. Full article
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<p>System architecture of a speckle noise reduction system.</p>
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<p>The network structure of the proposed DGGNet. The DGGNet consists of one encoder and two decoders (one decoder works for the denoising branch, and the other works for the gradient branch). The gradient branch guides the denoising branch by fusing gradient information to enhance structure preservation.</p>
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<p>The flow diagram of the proposed DGGNet.</p>
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<p>Denoising visualization of our proposed DGGNet comparing competing methods on the ultrasound dataset. From left to right, we show the clean, noisy, and denoising results of SRAD [<a href="#B23-fractalfract-08-00666" class="html-bibr">23</a>], OBNLM [<a href="#B8-fractalfract-08-00666" class="html-bibr">8</a>], NLLRF [<a href="#B7-fractalfract-08-00666" class="html-bibr">7</a>], MHM [<a href="#B35-fractalfract-08-00666" class="html-bibr">35</a>], DnCNN [<a href="#B16-fractalfract-08-00666" class="html-bibr">16</a>], RIDNet [<a href="#B17-fractalfract-08-00666" class="html-bibr">17</a>], MSANN [<a href="#B20-fractalfract-08-00666" class="html-bibr">20</a>] and our proposed DGGNet.</p>
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<p>Denoising visualization of our proposed DGGNet comparing competing methods on the ultrasound dataset. From left to right, we show the ground truth, noisy, and denoising results of SRAD [<a href="#B23-fractalfract-08-00666" class="html-bibr">23</a>], OBNLM [<a href="#B8-fractalfract-08-00666" class="html-bibr">8</a>], NLLRF [<a href="#B7-fractalfract-08-00666" class="html-bibr">7</a>], DnCNN [<a href="#B16-fractalfract-08-00666" class="html-bibr">16</a>], MHM [<a href="#B35-fractalfract-08-00666" class="html-bibr">35</a>], RIDNet [<a href="#B17-fractalfract-08-00666" class="html-bibr">17</a>], MSANN [<a href="#B20-fractalfract-08-00666" class="html-bibr">20</a>], and our DGGNet.</p>
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<p>Denoising visualization of our proposed DGGNet compares competing methods on the realistic experiments data. From left to right, we show the noisy, denoising results of SRAD [<a href="#B23-fractalfract-08-00666" class="html-bibr">23</a>], OBNLM [<a href="#B8-fractalfract-08-00666" class="html-bibr">8</a>], NLLRF [<a href="#B7-fractalfract-08-00666" class="html-bibr">7</a>], MHM [<a href="#B35-fractalfract-08-00666" class="html-bibr">35</a>], DnCNN [<a href="#B16-fractalfract-08-00666" class="html-bibr">16</a>], RIDNet [<a href="#B17-fractalfract-08-00666" class="html-bibr">17</a>], MSANN [<a href="#B20-fractalfract-08-00666" class="html-bibr">20</a>] and our proposed DGGNet.</p>
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<p>Average feature maps of results of the upsampling block in the decoding architecture of the denoising branch in our proposed DGGNet. The top image in (<b>a</b>) is our denoising result, and the bottom image is the corresponding noisy image. (<b>b</b>–<b>e</b>) are the average feature maps of <math display="inline"><semantics> <mrow> <mn>16</mn> <mo>×</mo> <mn>16</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mn>32</mn> <mo>×</mo> <mn>32</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mn>64</mn> <mo>×</mo> <mn>64</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mn>128</mn> <mo>×</mo> <mn>128</mn> </mrow> </semantics></math> in the denoising branch of the decoding structure. The upper images of those image pairs are the average feature map of the denoising branch with the gradient branch, while the lower images are not. This shows that with the guide of the gradient branch in our DGGNet, the denoising result can preserve structure information better.</p>
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