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34 pages, 14046 KiB  
Article
High-Resolution Collaborative Forward-Looking Imaging Using Distributed MIMO Arrays
by Shipei Shen, Xiaoli Niu, Jundong Guo, Zhaohui Zhang and Song Han
Remote Sens. 2024, 16(21), 3991; https://doi.org/10.3390/rs16213991 - 27 Oct 2024
Viewed by 845
Abstract
Airborne radar forward-looking imaging holds significant promise for applications such as autonomous navigation, battlefield reconnaissance, and terrain mapping. However, traditional methods are hindered by complex system design, azimuth ambiguity, and low resolution. This paper introduces a distributed array collaborative, forward-looking imaging approach, where [...] Read more.
Airborne radar forward-looking imaging holds significant promise for applications such as autonomous navigation, battlefield reconnaissance, and terrain mapping. However, traditional methods are hindered by complex system design, azimuth ambiguity, and low resolution. This paper introduces a distributed array collaborative, forward-looking imaging approach, where multiple aircraft with linear arrays fly in parallel to achieve coherent imaging. We analyze signal model characteristics and highlight the limitations of conventional algorithms. To address these issues, we propose a high-resolution imaging algorithm that combines an enhanced missing-data iterative adaptive approach with aperture interpolation technique (MIAA-AIT) for effective signal recovery in distributed arrays. Additionally, a novel reference range cell migration correction (reference RCMC) is employed for precise range–azimuth decoupling. The forward-looking algorithm effectively transforms distributed arrays into a virtual long-aperture array, enabling high-resolution, high signal-to-noise ratio imaging with a single snapshot. Simulations and real data tests demonstrate that our method not only improves resolution but also offers flexible array configurations and robust performance in practical applications. Full article
(This article belongs to the Topic Radar Signal and Data Processing with Applications)
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Figure 1
<p>Geometric configuration of the system.</p>
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<p>Analysis of the single-array configuration. (<b>a</b>) Demonstration of equivalent antenna transformation. (<b>b</b>) Configuration of actual array and equivalent virtual array.</p>
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<p>Analysis of the mismatch between traditional algorithms and distributed imaging models. (<b>a</b>) Azimuth time-domain envelope of echo sampling in distributed arrays. (<b>b</b>) Azimuth spectrum of echo sampling in distributed arrays. (<b>c</b>) Azimuth focusing results using single-array and distributed multi-array configurations.</p>
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<p>Analysis of the system’s range cell migration. (<b>a</b>) Single-array RCM. (<b>b</b>) Inter-array RCM.</p>
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<p>Comparison between the proposed RCMC and traditional RCMC.</p>
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<p>Coherent processing of azimuth gapped signals.</p>
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<p>Overall workflow of the distributed array collaborative, forward-looking imaging.</p>
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<p>Original reference image.</p>
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<p>Comparative analysis of RCMC algorithms. (<b>a</b>) Target signals in the range—Doppler domain before RCMC. (<b>b</b>) Target signals in the time domain before RCMC. (<b>c</b>) Target signals in the range-Doppler domain after traditional RCMC. (<b>d</b>) Target signals in the time domain after traditional RCMC. (<b>e</b>) Target signals in the range—Doppler domain after proposed RCMC. (<b>f</b>) Target signals in the time domain after proposed RCMC. (<b>g</b>) Imaging results using traditional RCMC. (<b>h</b>) Imaging results using proposed RCMC.</p>
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<p>Comparative analysis of RCMC algorithms. (<b>a</b>) Target signals in the range—Doppler domain before RCMC. (<b>b</b>) Target signals in the time domain before RCMC. (<b>c</b>) Target signals in the range-Doppler domain after traditional RCMC. (<b>d</b>) Target signals in the time domain after traditional RCMC. (<b>e</b>) Target signals in the range—Doppler domain after proposed RCMC. (<b>f</b>) Target signals in the time domain after proposed RCMC. (<b>g</b>) Imaging results using traditional RCMC. (<b>h</b>) Imaging results using proposed RCMC.</p>
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<p>Forward—looking imaging performance analysis of the proposed distributed array coherent processing algorithm.(<b>a</b>) Original reference image. (<b>b</b>) Target envelope formed by ECS using single array. (<b>c</b>) Target envelope formed by ECS—based full aperture algorithm. (<b>d</b>) Distributed array signals with an inter—array spacing of 10 m and an SNR of 25 dB. (<b>e</b>) Azimuth virtual long—aperture signal formed by the proposed algorithm under the corresponding conditions.(<b>f</b>) Target envelope formed by the proposed algorithm under the corresponding conditions. (<b>g</b>) Distributed array signals with an inter—array spacing of 20 m and an SNR of 25 dB. (<b>h</b>) Azimuth virtual long—aperture signal formed by the proposed algorithm under the corresponding conditions. (<b>i</b>) Target envelope formed by the proposed algorithm under the corresponding conditions. (<b>j</b>) Distributed array signals with an inter—array spacing of 10 m and an SNR of 10 dB. (<b>k</b>) Azimuth virtual long—aperture signal formed by the proposed algorithm under the corresponding conditions. (<b>l</b>) Target envelope formed by the proposed algorithm under the corresponding conditions.</p>
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<p>Comparative analysis of RCMC algorithms. (<b>a</b>) The target envelope based on LPM—AIT with 10 m array spacing. (<b>b</b>) The target envelope based on GAPES with 10 m array spacing. (<b>c</b>) The target envelope based on OMP with 10 m array spacing. (<b>d</b>) The target envelope based on ISTA with 10 m array spacing. (<b>e</b>) Target envelope from ECS algorithm with a 20 m real aperture. (<b>f</b>) The target envelope based on improved MIAA−AIT with 20 m array spacing. (<b>g</b>) The target envelope based on LPM−AIT with 20 m array spacing. (<b>h</b>) The target envelope based on GAPES with 20 m array spacing. (<b>i</b>) The target envelope based on OMP with 20 m array spacing. (<b>j</b>) The target envelope based on ISTA with 20 m array spacing. (<b>k</b>) Target envelope from ECS algorithm with a 40 m real aperture. (<b>l</b>) The target envelope based on improved MIAA−AIT with 20 m array spacing.</p>
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<p>Comparison of gapped signal recovery capabilities between different algorithms.</p>
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<p>Simulation results of surface targets using various algorithms. (<b>a</b>) Original image of surface target. (<b>b</b>) Imaging results of surface targets using 20 m aperture radar based on ECS algorithm. (<b>c</b>) Imaging results of surface targets using single—array radar based on ECS algorithm. (<b>d</b>) Imaging results of surface targets using distributed array based on OMP algorithm. (<b>e</b>) Imaging results of surface targets using distributed array based on LPM—AIT algorithm. (<b>f</b>) Imaging results of surface targets using distributed array based on MIAA—AIT algorithm.</p>
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<p>Comparison of algorithms with measured data (<b>a</b>) Overall experimental setup photo1. (<b>b</b>) Overall experimental setup photo2. (<b>c</b>) Imaging results with 0.5 m synthetic array. (<b>d</b>) Target azimuth envelope imaging results with 0.5 m synthetic array. (<b>e</b>) Imaging results with single cascade radar. (<b>f</b>) Target azimuth envelope imaging results with single cascade radar. (<b>g</b>) Imaging results using distributed array based on OMP algorithm. (<b>h</b>) Target azimuth envelope imaging results using distributed array based on OMP algorithm. (<b>i</b>) Imaging results using distributed array based on ISTA algorithm. (<b>j</b>) Target azimuth envelope imaging results using distributed array based on ISTA algorithm. (<b>k</b>) Imaging results using distributed array based on LPM—AIT algorithm. (<b>l</b>) Target azimuth envelope imaging results using distributed array based on LPM—AIT algorithm. (<b>m</b>) Imaging results using distributed array based on GAPES algorithm. (<b>n</b>) Target azimuth envelope imaging results using distributed array based on GAPES algorithm. (<b>o</b>) Imaging results using distributed array based on MIAA—AIT algorithm. (<b>p</b>) Target azimuth envelope imaging results using distributed array based on MIAA—AIT algorithm.</p>
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<p>Comparison of algorithms with measured data (<b>a</b>) Overall experimental setup photo1. (<b>b</b>) Overall experimental setup photo2. (<b>c</b>) Imaging results with 0.5 m synthetic array. (<b>d</b>) Target azimuth envelope imaging results with 0.5 m synthetic array. (<b>e</b>) Imaging results with single cascade radar. (<b>f</b>) Target azimuth envelope imaging results with single cascade radar. (<b>g</b>) Imaging results using distributed array based on OMP algorithm. (<b>h</b>) Target azimuth envelope imaging results using distributed array based on OMP algorithm. (<b>i</b>) Imaging results using distributed array based on ISTA algorithm. (<b>j</b>) Target azimuth envelope imaging results using distributed array based on ISTA algorithm. (<b>k</b>) Imaging results using distributed array based on LPM—AIT algorithm. (<b>l</b>) Target azimuth envelope imaging results using distributed array based on LPM—AIT algorithm. (<b>m</b>) Imaging results using distributed array based on GAPES algorithm. (<b>n</b>) Target azimuth envelope imaging results using distributed array based on GAPES algorithm. (<b>o</b>) Imaging results using distributed array based on MIAA—AIT algorithm. (<b>p</b>) Target azimuth envelope imaging results using distributed array based on MIAA—AIT algorithm.</p>
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<p>Comparison of algorithms with measured data (<b>a</b>) Overall experimental setup photo1. (<b>b</b>) Overall experimental setup photo2. (<b>c</b>) Imaging results with 0.5 m synthetic array. (<b>d</b>) Target azimuth envelope imaging results with 0.5 m synthetic array. (<b>e</b>) Imaging results with single cascade radar. (<b>f</b>) Target azimuth envelope imaging results with single cascade radar. (<b>g</b>) Imaging results using distributed array based on OMP algorithm. (<b>h</b>) Target azimuth envelope imaging results using distributed array based on OMP algorithm. (<b>i</b>) Imaging results using distributed array based on ISTA algorithm. (<b>j</b>) Target azimuth envelope imaging results using distributed array based on ISTA algorithm. (<b>k</b>) Imaging results using distributed array based on LPM—AIT algorithm. (<b>l</b>) Target azimuth envelope imaging results using distributed array based on LPM—AIT algorithm. (<b>m</b>) Imaging results using distributed array based on GAPES algorithm. (<b>n</b>) Target azimuth envelope imaging results using distributed array based on GAPES algorithm. (<b>o</b>) Imaging results using distributed array based on MIAA—AIT algorithm. (<b>p</b>) Target azimuth envelope imaging results using distributed array based on MIAA—AIT algorithm.</p>
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14 pages, 3599 KiB  
Communication
Cascade Clutter Suppression Method for Airborne Frequency Diversity Array Radar Based on Elevation Oblique Subspace Projection and Azimuth-Doppler Space-Time Adaptive Processing
by Rongwei Lu, Yifeng Wu, Lei Zhang and Ziyi Chen
Remote Sens. 2024, 16(17), 3198; https://doi.org/10.3390/rs16173198 - 29 Aug 2024
Viewed by 449
Abstract
Airborne Frequency Diversity Array (FDA) radar operating at a high pulse repetition frequency encounters severe range-ambiguous clutter. The slight frequency increments introduced by the FDA result in angle and range coupling. Under these conditions, conventional space-time adaptive processing (STAP) often exhibits diminished performance [...] Read more.
Airborne Frequency Diversity Array (FDA) radar operating at a high pulse repetition frequency encounters severe range-ambiguous clutter. The slight frequency increments introduced by the FDA result in angle and range coupling. Under these conditions, conventional space-time adaptive processing (STAP) often exhibits diminished performance or fails, complicating target detection. This paper proposes a method combining elevation oblique subspace projection with azimuth-Doppler STAP to suppress range-ambiguous clutter. The method compensates for the quadratic range dependence by analyzing the relationship between elevation frequency and range. It uses an elevation oblique subspace projection technique to construct an elevation adaptive filter, which separates clutter from ambiguous regions. Finally, residual clutter suppression is achieved through azimuth-Doppler STAP, enhancing target detection performance. Simulation results demonstrate that the proposed method effectively addresses range dependence and ambiguity issues, improving target detection performance in complex airborne FDA radar environments. Full article
(This article belongs to the Section Remote Sensing Communications)
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<p>The geometry of the airborne FDA radar.</p>
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<p>The variation in elevation frequency between PA and FDA. (<b>a</b>) PA. (<b>b</b>) FDA without compensation. (<b>c</b>) FDA with compensation.</p>
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<p>Beam response pattern. (<b>a</b>) FDA beam response diagram for the first ambiguous region. (<b>b</b>) PA beam response diagram for the first ambiguous region. (<b>c</b>) FDA beam response diagram for the third ambiguous region. (<b>d</b>) PA beam response diagram for the third ambiguous region. (<b>e</b>) Comparison of the beam response diagram at the 200th range gate for the first range region. (<b>f</b>) Comparison of the beam response diagram at the 200th range gate for the third range region.</p>
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<p>Clutter distribution for first range region. (<b>a</b>) The CBF method. (<b>b</b>) The CBF method and DW compensation. (<b>c</b>) The improved CBF method. (<b>d</b>) The improved CBF method with DW compensation. (<b>e</b>) The proposed method. (<b>f</b>) The proposed method with DW compensation.</p>
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<p>Clutter distribution for third range region. (<b>a</b>) The CBF method. (<b>b</b>) The improved CBF method. (<b>c</b>) The proposed method.</p>
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<p>SCNR loss performance comparison with different processing method versus normalized Doppler frequency. (<b>a</b>) First ambiguous range region. (<b>b</b>) Third ambiguous range region.</p>
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<p>Clutter distribution for third range region in joint horizontal spatial frequency and Doppler frequency domain. (<b>a</b>) The CBF method. (<b>b</b>) The improved CBF method. (<b>c</b>) The proposed method.</p>
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23 pages, 8720 KiB  
Article
Mitigation of Suppressive Interference in AMPC SAR Based on Digital Beamforming
by Zhipeng Xiao, Feng He, Zaoyu Sun and Zehua Zhang
Remote Sens. 2024, 16(15), 2812; https://doi.org/10.3390/rs16152812 - 31 Jul 2024
Viewed by 719
Abstract
Multichannel Synthetic Aperture Radar (MC-SAR) systems, such as Azimuth Multi-Phase Centre (AMPC) SAR, provide an effective solution for achieving high-resolution wide-swath (HRWS) imaging by reducing the pulse repetition frequency (PRF) to increase the swath width. However, in an Electronic Countermeasures (ECM) environment, the [...] Read more.
Multichannel Synthetic Aperture Radar (MC-SAR) systems, such as Azimuth Multi-Phase Centre (AMPC) SAR, provide an effective solution for achieving high-resolution wide-swath (HRWS) imaging by reducing the pulse repetition frequency (PRF) to increase the swath width. However, in an Electronic Countermeasures (ECM) environment, the image quality of multichannel SAR systems can be significantly degraded by electromagnetic interference. Previous research into interference and counter-interference techniques has predominantly focused on single-channel SAR systems, with relatively few studies addressing the specific challenges faced by MC-SAR systems. This paper uses the classical spatial filtering technique of adaptive digital beamforming (DBF). Considering the Doppler ambiguity present in the echoes, two schemes—Interference Reconstruction And Cancellation (IRC) and Channel Grouping Nulling (CGN)—are designed to effectively eliminate suppressive interference. The IRC method eliminates the effects of interference without losing spatial degrees of freedom, ensuring effective suppression of Doppler ambiguity in subsequent processing. This method shows significant advantages under conditions of strong Doppler ambiguity and low jammer-to-signal ratio. Conversely, the CGN method mitigates the effect of interference on multichannel imaging at the expense of degrees of freedom redundant to Doppler ambiguity suppression. It shows remarkable interference suppression performance under weak-Doppler-ambiguity conditions, allowing for better image recovery. Simulations performed on point and distributed targets have validated that the proposed methods can effectively remove interfering signals and achieve high-resolution wide-swath (HRWS) SAR images. Full article
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<p>Geometric model of the echo signal.</p>
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<p>Geometric illustration of the relationship between the other channels and the reference channel.</p>
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<p>Schematic diagram of space–time two-dimensional spectrum and Doppler aliasing.</p>
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<p>Schematic diagram of spectrum reconstruction using DBF network.</p>
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<p>Processing flow of the Interference Reconstruction And Cancellation method.</p>
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<p>Illustration of channel grouping for null steering.</p>
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<p>Illustration of the point target simulation scenario.</p>
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<p>Observed scene. (<b>a</b>) Multichannel image reconstruction without interference; (<b>b</b>) interfer ence with multichannel reconstructed images.</p>
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<p>Imaging result of the point target simulation. (<b>a</b>) Result of CBF at 60 dB JSR, PRF = 200 Hz; (<b>b</b>) result of IRC at 60 dB JSR, PRF = 200 Hz; (<b>c</b>) result of IRC at 60 dB JSR, PRF = 400 Hz; (<b>d</b>) results of CBF at 60 dB JSR, PRF = 400 Hz; (<b>e</b>) results of CGN at 60 dB JSR, PRF = 200 Hz; (<b>f</b>) results of CGN at 60 dB JSR, PRF = 400 Hz.</p>
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<p>The cross−sections of point targets in the azimuth and range directions. (<b>a</b>) The azimuthal cross−section of the IRC; (<b>b</b>) the range cross−section of the IRC; (<b>c</b>) the azimuthal cross−section of the CGN; (<b>d</b>) the range cross−section of the CGN; (<b>e</b>) partial enlargement of the red dashed box in (<b>a</b>); (<b>f</b>) partial enlargement of the red dashed box in (<b>b</b>); (<b>g</b>) partial enlargement of the red dashed box in (<b>c</b>); (<b>h</b>) partial enlargement of the red dashed box in (<b>d</b>).</p>
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<p>Distributed target scene. (<b>a</b>) Interference−free SAR image; (<b>b</b>) interference−polluted SAR image.</p>
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<p>The image results of interference suppression. (<b>a</b>) CBF at 40 dB JSR, PRF = 200 Hz; (<b>b</b>) CBF at 40 dB JSR, PRF = 400 Hz; (<b>c</b>) CBF at 60 dB JSR, PRF = 400 Hz; (<b>d</b>) IRC at 40 dB JSR, PRF = 200 Hz; (<b>e</b>) IRC at 40 dB JSR, PRF = 400 Hz; (<b>f</b>) IRC at 60 dB JSR, PRF = 400 Hz; (<b>g</b>) CBF at 40 dB JSR, PRF = 200 Hz; (<b>h</b>) CBF at 40 dB JSR, PRF = 400 Hz; (<b>i</b>) CBF at 60 dB JSR, PRF = 400 Hz; (<b>j</b>) CGN at 40 dB JSR, PRF = 200 Hz; (<b>k</b>) CGN at 40 dB JSR, PRF = 400 Hz; (<b>l</b>) CGN at 60 dB JSR, PRF = 400 Hz.</p>
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<p>The image results of interference suppression. (<b>a</b>) CBF at 40 dB JSR, PRF = 200 Hz; (<b>b</b>) CBF at 40 dB JSR, PRF = 400 Hz; (<b>c</b>) CBF at 60 dB JSR, PRF = 400 Hz; (<b>d</b>) IRC at 40 dB JSR, PRF = 200 Hz; (<b>e</b>) IRC at 40 dB JSR, PRF = 400 Hz; (<b>f</b>) IRC at 60 dB JSR, PRF = 400 Hz; (<b>g</b>) CBF at 40 dB JSR, PRF = 200 Hz; (<b>h</b>) CBF at 40 dB JSR, PRF = 400 Hz; (<b>i</b>) CBF at 60 dB JSR, PRF = 400 Hz; (<b>j</b>) CGN at 40 dB JSR, PRF = 200 Hz; (<b>k</b>) CGN at 40 dB JSR, PRF = 400 Hz; (<b>l</b>) CGN at 60 dB JSR, PRF = 400 Hz.</p>
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19 pages, 15821 KiB  
Article
A Novel Multi-Beam SAR Two-Dimensional Ambiguity Suppression Method Based on Azimuth Phase Coding
by Yihao Xu, Fubo Zhang, Wenjie Li, Yangliang Wan, Longyong Chen and Tao Jiang
Remote Sens. 2024, 16(13), 2298; https://doi.org/10.3390/rs16132298 - 24 Jun 2024
Viewed by 657
Abstract
In order to address the problems of range ambiguity and azimuth ambiguity in the wide-swath imaging of synthetic aperture radar (SAR), this paper proposes a multi-beam SAR two-dimensional ambiguity suppression method based on azimuth phase coding (APC). The scheme employs an elevation simultaneous [...] Read more.
In order to address the problems of range ambiguity and azimuth ambiguity in the wide-swath imaging of synthetic aperture radar (SAR), this paper proposes a multi-beam SAR two-dimensional ambiguity suppression method based on azimuth phase coding (APC). The scheme employs an elevation simultaneous multi-beam transmission system with azimuth under-sampling, transmitting different APC waveforms to various range-ambiguous sub-regions. After receiving the echoes, the azimuth digital beamforming (DBF) is used to separate the APC waveform echoes with multi-order Doppler ambiguity, achieving azimuth reconstruction and range ambiguity suppression simultaneously. Finally, the elevation nulling DBF is used to further suppress range ambiguity and obtain the SAR wide-swath image. The superiority of this scheme is reflected in the following aspects: the azimuth DBF simultaneously suppresses azimuth and range ambiguity, the influence of height fluctuations on the ability to suppress range ambiguity is weakened, the use of elevation nulling DBF further enhances the level of range ambiguity suppression, and different range sub-regions can adopt different range resolutions and working modes. The feasibility of this scheme is verified through theoretical analysis and simulation. Full article
(This article belongs to the Special Issue Advances in Synthetic Aperture Radar Data Processing and Application)
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<p>APC waveform generation.</p>
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<p>The MIMO–SAR elevation multi-beam system.</p>
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<p>The principle of range ambiguity of the proposed scheme.</p>
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<p>The schematic diagram of APC waveform echoes with multi-order Doppler ambiguity in the Doppler domain.</p>
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<p>The flowchart of the proposed scheme.</p>
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<p>The echoes in range-Doppler domain of different APC waveforms before and after azimuth DBF. (<b>a</b>) The two-dimensional ambiguous echo. (<b>b</b>) The 1-st APC waveform echo after azimuth DBF. (<b>c</b>) The 2-nd APC waveform echo after azimuth DBF. (<b>d</b>) The 3-rd APC waveform echo after azimuth DBF. (<b>e</b>) The 4-th APC waveform echo after azimuth DBF.</p>
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<p>The imaging result of the comparative experiment and the proposed scheme after azimuth DBF. (<b>a</b>) The comparative experiment. (<b>b</b>) The proposed scheme after azimuth DBF.</p>
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<p>The numerical analysis of the range ambiguity suppression ability of azimuth DBF of the proposed scheme. (<b>a</b>) The range profile of the two-dimensional ambiguous echo imaging result. (<b>b</b>) The range profile of the imaging result after azimuth DBF.</p>
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<p>The numerical analysis of the azimuth ambiguity suppression ability of azimuth DBF of the proposed scheme. (<b>a</b>) The azimuth profile of the two-dimensional ambiguous echo imaging result. (<b>b</b>) The azimuth profile of the imaging result after azimuth DBF.</p>
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<p>The imaging result of the proposed scheme in this article. (<b>a</b>) The imaging result of two-dimensional ambiguous echo after two-dimensional DBF. (<b>b</b>) The range profile.</p>
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<p>The imaging result of the proposed scheme in this article. (<b>a</b>) The imaging result of two-dimensional ambiguous echo after two-dimensional DBF. (<b>b</b>) The range profile.</p>
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<p>The imaging results of two-dimensional ambiguous sub-regions after azimuth DBF. (<b>a</b>) The 1-st sub-region. (<b>b</b>) The 2-nd sub-region. (<b>c</b>) The 3-rd sub-region. (<b>d</b>) The 4-th sub-region.</p>
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<p>The imaging results of two-dimensional ambiguous sub-regions after azimuth DBF. (<b>a</b>) The 1-st sub-region. (<b>b</b>) The 2-nd sub-region. (<b>c</b>) The 3-rd sub-region. (<b>d</b>) The 4-th sub-region.</p>
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<p>The imaging results of two-dimensional ambiguous sub-regions after two-dimensional DBF. (<b>a</b>) The 1-st sub-region. (<b>b</b>) The 2-nd sub-region. (<b>c</b>) The 3-rd sub-region. (<b>d</b>) The 4-th sub-region.</p>
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<p>The imaging results of two-dimensional ambiguous sub-regions after two-dimensional DBF. (<b>a</b>) The 1-st sub-region. (<b>b</b>) The 2-nd sub-region. (<b>c</b>) The 3-rd sub-region. (<b>d</b>) The 4-th sub-region.</p>
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<p>The imaging result of two-dimensional ambiguous sub-region using the conventional scheme. (<b>a</b>) The imaging result of the conventional scheme. (<b>b</b>) The range profile.</p>
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<p>The comparison of imaging results of distributed targets between conventional and proposed schemes. (<b>a</b>) The conventional scheme. (<b>b</b>) The proposed scheme.</p>
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<p>The range profile of distributed targets.</p>
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16 pages, 6851 KiB  
Article
Range-Dependent Channel Calibration for High-Resolution Wide-Swath Synthetic Aperture Radar Imagery
by Man Zhang, Zhichao Meng, Guanyong Wang and Yonghong Xue
Sensors 2024, 24(11), 3278; https://doi.org/10.3390/s24113278 - 21 May 2024
Viewed by 698
Abstract
High-resolution and wide-swath (HRWS) synthetic aperture radar (SAR) imaging with azimuth multi-channel always suffers from channel phase and amplitude errors. Compared with spatial-invariant error, the range-dependent channel phase error is intractable due to its spatial dependency characteristic. This paper proposes a novel parameterized [...] Read more.
High-resolution and wide-swath (HRWS) synthetic aperture radar (SAR) imaging with azimuth multi-channel always suffers from channel phase and amplitude errors. Compared with spatial-invariant error, the range-dependent channel phase error is intractable due to its spatial dependency characteristic. This paper proposes a novel parameterized channel equalization approach to reconstruct the unambiguous SAR imagery. First, a linear model is established for the range-dependent channel phase error, and the sharpness of the reconstructed Doppler spectrum is used to measure the unambiguity quality. Furthermore, the intrinsic relationship between the channel phase errors and the sharpness is revealed, which allows us to estimate the optimal parameters by maximizing the sharpness of the reconstructed Doppler spectrum. Finally, the results from real-measured data show that the suggested method performs exceptionally for ambiguity suppression in HRWS SAR imaging. Full article
(This article belongs to the Special Issue Signal Processing in Radar Systems)
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<p>Geometry of HRWS SAR imaging.</p>
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<p>Spatial–time spectrum without and with Doppler ambiguity. (<b>a</b>) Without Doppler ambiguity. (<b>b</b>) With Doppler ambiguity.</p>
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<p>The flowchart of HRWS SAR imaging with range-dependent channel phase calibration.</p>
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<p>Imaging results with different channel error estimation algorithms. (<b>a</b>) Without compensation. (<b>b</b>) Result with the subspace projection calibration. (<b>c</b>) Result with the RIDMSS algorithm. (<b>d</b>) Result with the proposed algorithm.</p>
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<p>Imaging results with different channel error estimation algorithms. (<b>a</b>) Without compensation. (<b>b</b>) Result with the subspace projection calibration. (<b>c</b>) Result with the RIDMSS algorithm. (<b>d</b>) Result with the proposed algorithm.</p>
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<p>Azimuth profiles of ship targets from different calibrations.</p>
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<p>Azimuth ambiguity suppression of different calibrations under SNRs from 0 dB to 35 dB.</p>
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<p>Azimuth ambiguity suppression of different calibrations under SNRs from 0 dB to 35 dB.</p>
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<p>AASRs with different SNRs.</p>
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22 pages, 22814 KiB  
Article
Maritime Moving Target Reconstruction via MBLCFD in Staggered SAR System
by Xin Qi, Yun Zhang, Yicheng Jiang, Zitao Liu, Xinyue Ma and Xuan Liu
Remote Sens. 2024, 16(9), 1550; https://doi.org/10.3390/rs16091550 - 26 Apr 2024
Viewed by 765
Abstract
Imaging maritime targets requires a high resolution and wide swath (HWRS) in a synthetic aperture radar (SAR). When operated with a variable pulse repetition interval (PRI), a staggered SAR can realize HRWS imaging, which needs to be reconstructed due to echo pulse loss [...] Read more.
Imaging maritime targets requires a high resolution and wide swath (HWRS) in a synthetic aperture radar (SAR). When operated with a variable pulse repetition interval (PRI), a staggered SAR can realize HRWS imaging, which needs to be reconstructed due to echo pulse loss and a nonuniformly sampled signal along the azimuth. The existing reconstruction algorithms are designed for stationary scenes in a staggered SAR mode, and thus, produce evident image defocusing caused by complex target motion for moving targets. Typically, the nonuniform sampling and complex motion of maritime targets aggravate the spectrum aliasing in a staggered SAR mode, causing inevitable ambiguity and degradation in its reconstruction performance. To this end, this study analyzed the spectrum of maritime targets in a staggered SAR system through theoretical derivation. After this, a reconstruction method named MBLCFD (Modified Best Linear Unbaised and Complex-Lag Time-Frequency Distribution) is proposed to refocus the blurred maritime target. First, the signal model of the maritime target with 3D rotation accompanying roll–pitch–yaw movement was established under the curved orbit of the satellite. The best linear unbiased (BLU) method was modified to alleviate the coupling of nonuniform sampling and target motion. A precise SAR algorithm was performed based on the method of inverse reversion to counteract the effect of a curved orbit and wide swath. Based on the hybrid SAR/ISAR technique, the complex-lag time-frequency distribution was exploited to refocus the maritime target images. Simulations and experiments were carried out to verify the effectiveness of the proposed method, providing precise refocusing performance in staggered mode. Full article
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<p>Geometry of staggered SAR system for maritime moving target.</p>
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<p>Spectrum analysis in azimuth for staggered mode. Top: stationary target. Bottom: moving target.</p>
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<p>Flowchart of the proposed MBLCFD reconstruction algorithm for maritime moving targets.</p>
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<p>The PRI sequence of the fast linear variation strategy. (<b>a</b>) The PRI trend. (<b>b</b>) The location of the blind ranges. (<b>c</b>) The percentage of the lost pulses.</p>
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<p>Stop-and-go approximation model phase error versus azimuth time.</p>
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<p>Simulated target 1. (<b>a</b>) Defocused staggered SAR image using original BLU method. (<b>b</b>) Defocused staggered SAR image using modified BLU method.</p>
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<p>Simulated target 2. (<b>a</b>) Defocused staggered SAR image using original BLU method. (<b>b</b>) Defocused staggered SAR image using modified BLU method.</p>
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<p>Simulated target 1. (<b>a</b>) Zoomed-in SAR defocused image, and the refocused images (<b>b</b>) using the ICBA method, (<b>c</b>) using SPWVD method, and (<b>d</b>) using proposed MBLCFD method.</p>
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<p>Simulated target 2. (<b>a</b>) Zoomed-in defocused SAR image, and the refocused images (<b>b</b>) using ICBA method, (<b>c</b>) using SPWVD method, and (<b>d</b>) using proposed MBLCFD method.</p>
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<p>Simulated target under low sea state. (<b>a</b>) Zoomed-in defocused SAR image, and refocused images (<b>b</b>) using RD algorithm, (<b>c</b>) using ICBA, and (<b>d</b>) using proposed MBLCFD method.</p>
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<p>Refocused staggered SAR image. (<b>a</b>) Operated with a relatively small rectangular window in sub-image selection. (<b>b</b>) Operated with a relatively large rectangular window in sub-image selection.</p>
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<p>The entropy versus the SCNR.</p>
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<p>Imaging results of large scene.</p>
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<p>Actual target 1 (AT1). (<b>a</b>) Results of the defocused SAR image, and the refocused images using (<b>b</b>) the ICBA method, (<b>c</b>) the SPWVD method, and (<b>d</b>) the proposed method.</p>
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<p>Actual target 2 (AT1). (<b>a</b>) Results of the defocused SAR image, and the refocused images using (<b>b</b>) the ICBA method, (<b>c</b>) the SPWVD method, and (<b>d</b>) the proposed method.</p>
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25 pages, 5011 KiB  
Article
A Sparse SAR Imaging Method for Low-Oversampled Staggered Mode via Compound Regularization
by Mingqian Liu, Jie Pan, Jinbiao Zhu, Zhengchao Chen, Bingchen Zhang and Yirong Wu
Remote Sens. 2024, 16(8), 1459; https://doi.org/10.3390/rs16081459 - 20 Apr 2024
Cited by 2 | Viewed by 919
Abstract
High-resolution wide-swath (HRWS) imaging is the research focus of the modern spaceborne synthetic-aperture radar (SAR) imaging field, with significant relevance and vast application potential. Staggered SAR, as an innovative imaging system, mitigates blind areas across the entire swath by periodically altering the radar [...] Read more.
High-resolution wide-swath (HRWS) imaging is the research focus of the modern spaceborne synthetic-aperture radar (SAR) imaging field, with significant relevance and vast application potential. Staggered SAR, as an innovative imaging system, mitigates blind areas across the entire swath by periodically altering the radar pulse repetition interval (PRI), thereby extending the swath width to multiples of that achievable by conventional systems. However, the staggered mode introduces inherent challenges, such as nonuniform azimuth sampling and echo data loss, leading to azimuth ambiguities and substantially impacting image quality. This paper proposes a sparse SAR imaging method for the low-oversampled staggered mode via compound regularization. The proposed method not only effectively suppresses azimuth ambiguities arising from nonuniform sampling without necessitating the restoration of missing echo data, but also incorporates total variation (TV) regularization into the sparse reconstruction model. This enhances the accurate reconstruction of distributed targets within the scene. The efficacy of the proposed method is substantiated through simulations and real data experiments from spaceborne missions. Full article
(This article belongs to the Special Issue Spaceborne High-Resolution SAR Imaging)
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<p>PRI sequence values and blind areas’ position in the simulation experiments. (<b>a</b>) The fast-changing PRI sequence values correspond to the parameters in <a href="#remotesensing-16-01459-t002" class="html-table">Table 2</a>, where the x-axis ‘m’ is the sequence number; (<b>b</b>) The blind areas’ position of the fast-changing PRI sequence.</p>
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<p>The 1-D imaging results with different methods. (<b>a</b>–<b>c</b>) are the imaging results of the point target located inside the blind areas, respectively (slant range = 956 km); (<b>d</b>–<b>f</b>) are the imaging results of the point target located at the boundary of the blind areas, respectively (slant range = 982 km); (<b>g</b>–<b>i</b>) are the imaging results of the point target located outside the blind areas, respectively (slant range = 994 km).</p>
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<p>The oversampling rate–ISLR relationship curves. (<b>a</b>) Using the MF method; (<b>b</b>) using the BLU interpolation method; and (<b>c</b>) using the <span class="html-italic">L</span><sub>1/2</sub>&amp;TV-regularization-based method.</p>
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<p>The imaging results of a one-dimensional distributed target with different methods, where the distributed target is located inside the blind areas (slant range = 956 km). (<b>a</b>) The ideal case; (<b>b</b>) Using the MF method; (<b>c</b>) Using the BLU interpolation method; and (<b>d</b>) Using the <span class="html-italic">L</span><sub>1/2</sub>&amp;TV-regularization-based method.</p>
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<p>Comparison curves of the NRMSE reconstructed by BLU interpolation and <span class="html-italic">L</span><sub>1/2</sub>&amp;TV regularization under different SNRs. (<b>a</b>) Inside the blind areas (slant range = 956 km); (<b>b</b>) At the boundary of the blind areas (slant range = 982 km).</p>
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<p>The oversampling rate–NRMSE relationship curves. (<b>a</b>) Using the BLU interpolation method; (<b>b</b>) Using the <span class="html-italic">L</span><sub>1/2</sub>&amp;TV-regularization-based method.</p>
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<p>The imaging results of different methods in the first actual scenario. (<b>a</b>) Original echo data imaging processing under constant PRF condition; (<b>b</b>) Direct imaging on staggered-mode SAR data (MF); (<b>c</b>) Using the BLU interpolation method; (<b>d</b>) Using the <span class="html-italic">L</span><sub>1/2</sub>&amp;TV-regularization-based method.</p>
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<p>The azimuth profiles of the strong point target indicated by the blue arrows in <a href="#remotesensing-16-01459-f007" class="html-fig">Figure 7</a>.</p>
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<p>The reconstruction results of the island areas represented by the green rectangular dashed frames in <a href="#remotesensing-16-01459-f007" class="html-fig">Figure 7</a>. (<b>a</b>) MF; (<b>b</b>) <span class="html-italic">L</span><sub>1/2</sub>&amp;TV regularization.</p>
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<p>The imaging results of different methods in the second scenario. (<b>a</b>) Original echo data imaging processing under constant PRF condition; (<b>b</b>) Direct imaging on staggered mode SAR data (MF); (<b>c</b>) Using the BLU interpolation method; (<b>d</b>) Using the <span class="html-italic">L</span><sub>1/2</sub>&amp;TV regularization-based method.</p>
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13 pages, 1367 KiB  
Technical Note
Wide-Angle Repeat Pass Bistatic SAR Interferometry: A Geometrical Introduction
by Fabio Rocca
Remote Sens. 2024, 16(8), 1339; https://doi.org/10.3390/rs16081339 - 11 Apr 2024
Viewed by 778
Abstract
Positioning a Synthetic Aperture Radar (SAR) receiver at a significant distance from an illuminator in a Low Earth Orbit (LEO) enables wide-angle repeat-pass bistatic interferometry. It’s crucial to define the positioning limits of the receiver with respect to the illuminator to ensure reasonable [...] Read more.
Positioning a Synthetic Aperture Radar (SAR) receiver at a significant distance from an illuminator in a Low Earth Orbit (LEO) enables wide-angle repeat-pass bistatic interferometry. It’s crucial to define the positioning limits of the receiver with respect to the illuminator to ensure reasonable coherences, altitudes of ambiguity, and a suitable common wavenumber support. I extended the standard monostatic formula, which yields the change in the interferometric travel path due to the vertical baseline. In the wide-angle bistatic case, the range-azimuth coordinate system is no longer orthogonal and we must consider the full 2D vector nature of the LOS orthogonal components. The two vertical baselines and the horizontal baseline of the receiver are needed to parameterize the system. Their impact on the interferometric coherence is quantified and bistatic limits are seen to be more flexible than those in the monostatic case due to the combination of independent baselines. I estimated the coherence, and then extended the analysis to the wavenumber domain, to quantify the common spectral support due to the wavenumber shifts due to the three baselines. The analysis carried out geometrically allows for combining together the effects of the transmitter’s and receiver’s vertical baselines and thus representing the residual spectral fraction with two instead of three parameters. Finally, I examined the achievable spatial resolution of the position of the interferer obtainable from the delay of the arrival of the interference between the illuminator (supposed to be silent) and the receiver. Full article
(This article belongs to the Section Engineering Remote Sensing)
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<p>Bistatic geometry: two positions of the receiver are shown. In green are the orthogonal baselines, and in black is the bistatic ground range gradient direction. The angles <span class="html-italic">θ<sub>t</sub>, θ<sub>r</sub></span> are those between the LOS’s (the blue lines) and the verticals through the source (left) and receiver (right).</p>
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<p>Spectral support for <span class="html-italic">η</span> = 0.5 and four different baselines sets.</p>
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<p>Superposition of spectral supports for receiver’s baselines in a sphere of rms radius 1 km. Left <span class="html-italic">η</span> = 0, right <span class="html-italic">η</span> = 0.8.</p>
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<p>Residual fraction of spectra after the wavenumber shift; H = 619 km; ρ = 3 m; D = 0; 300 km; contour interval = 0.05.</p>
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22 pages, 6770 KiB  
Article
Nearshore Ship Detection in PolSAR Images by Integrating Superpixel-Level GP-PNF and Refined Polarimetric Decomposition
by Shujie Wu, Wei Wang, Jie Deng, Sinong Quan, Feng Ruan, Pengcheng Guo and Hongqi Fan
Remote Sens. 2024, 16(6), 1095; https://doi.org/10.3390/rs16061095 - 20 Mar 2024
Cited by 1 | Viewed by 1001
Abstract
Nearshore ship detection has significant applications in both the military and civilian domains. Compared to synthetic aperture radar (SAR), polarimetric synthetic aperture radar (PolSAR) provides richer information for analyzing the scattering mechanisms of ships and enables better detection of ship targets. However, ships [...] Read more.
Nearshore ship detection has significant applications in both the military and civilian domains. Compared to synthetic aperture radar (SAR), polarimetric synthetic aperture radar (PolSAR) provides richer information for analyzing the scattering mechanisms of ships and enables better detection of ship targets. However, ships in nearshore areas tend to be highly concentrated, and ship detection is often affected by adjacent strong scattering, resulting in false alarms or missed detections. While the GP-PNF detector performs well in PolSAR ship detection, it cannot obtain satisfactory results in these scenarios, and it also struggles in the presence of azimuthal ambiguity or strong clutter interference. To address these challenges, we propose a nearshore ship detection method named ECD-PNF by integrating superpixel-level GP-PNF and refined polarimetric decomposition. Firstly, polarimetric superpixel segmentation and sea–land segmentation are performed to reduce the influence of land on ship detection. To estimate the sea clutter more accurately, an automatic censoring (AC) mechanism combined with superpixels is used to select the sea clutter superpixels. By utilizing refined eight-component polarimetric decomposition to improve the scattering vector, the physical interpretability of the detector is enhanced. Additionally, the expression of polarimetric coherence is improved to enhance the target clutter ratio (TCR). Finally, this paper combines the third eigenvalue of eigenvalue–eigenvector decomposition to reduce the impact of azimuthal ambiguity. Three spaceborne PolSAR datasets from Radarsat-2 and GF-3 are adopted in the experiments for comparison. The proposed ECD-PNF method achieves the highest figure of merit (FoM) value of 0.980, 1.000, and 1.000 for three datasets, validating the effectiveness of the proposed method. Full article
(This article belongs to the Section Remote Sensing Image Processing)
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<p>The flowchart of the ECD-PNF detector.</p>
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<p>The flowchart of the superpixel-level GP-PNF with AC mechanism.</p>
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<p>The scattering analysis. (<b>a</b>) Energy map of the eight-component decomposition results for the ship. (<b>b</b>–<b>d</b>) The scattering energy proportions of different ship targets. (<b>e</b>) The scattering energy proportions of strong sidelobe scattering. (<b>f</b>) The scattering energy composition of azimuthal ambiguity. (<b>g</b>) The scattering energy composition of sea clutter.</p>
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<p>The scattering analysis. (<b>a</b>) Energy map of the eight-component decomposition results for the ship. (<b>b</b>–<b>d</b>) The scattering energy proportions of different ship targets. (<b>e</b>) The scattering energy proportions of strong sidelobe scattering. (<b>f</b>) The scattering energy composition of azimuthal ambiguity. (<b>g</b>) The scattering energy composition of sea clutter.</p>
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<p>Experimental datasets. (<b>a1</b>–<b>a3</b>) Pauli pseudo-color images of the Guangzhou area, Singapore area, and Pearl River area, respectively. (<b>b1</b>–<b>b3</b>) ground-truth images of the Guangzhou area, Singapore area, and Pearl River area, respectively.</p>
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<p>The detection results of different methods on the Radarsat-2 dataset of the Guangzhou area. (<b>a</b>) SCLC. (<b>b</b>) GP-PNF. (<b>c</b>) YAMA-PNF. (<b>d</b>) ZT-PNF. (<b>e</b>) ECD-PNF.</p>
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<p>The detection results of different methods on the Radarsat-2 dataset of the Guangzhou area. (<b>a</b>) SCLC. (<b>b</b>) GP-PNF. (<b>c</b>) YAMA-PNF. (<b>d</b>) ZT-PNF. (<b>e</b>) ECD-PNF.</p>
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<p>The detection results of different methods on the Radarsat-2 dataset of the Singapore area. (<b>a</b>) SCLC. (<b>b</b>) GP-PNF. (<b>c</b>) YAMA-PNF. (<b>d</b>) ZT-PNF. (<b>e</b>) ECD-PNF.</p>
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<p>The detection results of different methods on the Radarsat-2 dataset of the Singapore area. (<b>a</b>) SCLC. (<b>b</b>) GP-PNF. (<b>c</b>) YAMA-PNF. (<b>d</b>) ZT-PNF. (<b>e</b>) ECD-PNF.</p>
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<p>The detection results of different methods on the Radarsat-2 dataset of the Pearl River area. (<b>a</b>) SCLC. (<b>b</b>) GP-PNF. (<b>c</b>) YAMA-PNF. (<b>d</b>) ZT-PNF. (<b>e</b>) ECD-PNF.</p>
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<p>Detection feature maps of SCLC in the Singapore area.</p>
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<p>Feature maps obtained of different detectors in the Guangzhou area. (<b>a</b>) ROI. (<b>b</b>) GP-PNF. (<b>c</b>) YAMA-PNF. (<b>d</b>) ZT-PNF. (<b>e</b>) ECD-PNF.</p>
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<p>Feature maps obtained of different detectors in the Singapore area. (<b>a</b>) ROI. (<b>b</b>) GP-PNF. (<b>c</b>) YAMA-PNF. (<b>d</b>) ZT-PNF. (<b>e</b>) ECD-PNF.</p>
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<p>Feature maps obtained of different detectors in the Pearl River area. (<b>a</b>) ROI. (<b>b</b>) GP-PNF. (<b>c</b>) YAMA-PNF. (<b>d</b>) ZT-PNF. (<b>e</b>) ECD-PNF.</p>
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<p>TCR results of Ship 1–Ship 12 for different detectors and areas. (<b>a</b>) Guangzhou area. (<b>b</b>) Singapore area. (<b>c</b>) Pearl River area.</p>
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<p>The ROC curve of the detection results for different detectors and areas. (<b>a</b>) Guangzhou area. (<b>b</b>) Singapore area. (<b>c</b>) Pearl River area.</p>
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24 pages, 3917 KiB  
Article
Efficient 2D DOA Estimation via Decoupled Projected Atomic Norm Minimization
by Mingming Liu, Yangyang Dong, Chunxi Dong and Guoqing Zhao
Electronics 2024, 13(5), 846; https://doi.org/10.3390/electronics13050846 - 22 Feb 2024
Cited by 1 | Viewed by 1084
Abstract
This paper presents an efficient two-dimensional (2D) direction of arrival (DOA) estimation method, termed as decoupled projected atomic norm minimization (D-PANM), to solve the angle-ambiguity problem. It first introduces a novel atomic metric via projecting the original atom set onto a smoothing space, [...] Read more.
This paper presents an efficient two-dimensional (2D) direction of arrival (DOA) estimation method, termed as decoupled projected atomic norm minimization (D-PANM), to solve the angle-ambiguity problem. It first introduces a novel atomic metric via projecting the original atom set onto a smoothing space, based on which we formulate an equivalent semi-definite programming (SDP) problem. Then, two relatively low-complexity decoupled Toeplitz matrices can be obtained to estimate the DOAs. We further exploit the structural information hidden in the newly constructed data to avoid pair matching for the azimuth and elevation angles when the number of sensors is odd, and then propose a fast and feasible decoupled alternating projections (D-AP) algorithm, reducing computational complexity to a great extent. Numerical simulations are performed to demonstrate that the proposed algorithm is no longer restricted by angle ambiguity scenarios, but instead provides a more stable estimation performance, even when multiple signals share the same angles in both azimuth and elevation dimensions. Additionally, it greatly improves the resolution, with control of the computation load compared with the existing atomic norm minimization (ANM) algorithm. Full article
(This article belongs to the Special Issue Advances in Array Signal Processing)
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<p>Uniform rectangular array (URA) configuration.</p>
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<p>The estimated DOAs in the angle-ambiguity scenario with <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mi>M</mi> <mo>=</mo> <mn>9</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mi>L</mi> <mo>=</mo> <mn>5</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>S</mi> <mi>N</mi> <mi>R</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>30</mn> <mi>dB</mi> </mrow> </semantics></math>, and the number of signals <math display="inline"><semantics> <mrow> <mi>I</mi> <mo>=</mo> <mn>7</mn> </mrow> </semantics></math>: (<b>a</b>) DeANM; (<b>b</b>) vecANM; (<b>c</b>) proposed D-PANM; (<b>d</b>) proposed D-AP.</p>
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<p>Comparison of resolutions for two signals with <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mi>M</mi> <mo>=</mo> <mn>9</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mi>L</mi> <mo>=</mo> <mn>5</mn> </mrow> </semantics></math>: (<b>a</b>) azimuth distance <math display="inline"><semantics> <mrow> <mo>Δ</mo> <msub> <mi>θ</mi> <mi>i</mi> </msub> </mrow> </semantics></math>; (<b>b</b>) elevation distance <math display="inline"><semantics> <mrow> <mo>Δ</mo> <msub> <mi>φ</mi> <mi>i</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Success rates of DOA estimation with respect to the angle interval: (<b>a</b>) azimuth distance <math display="inline"><semantics> <mrow> <mo>Δ</mo> <msub> <mi>θ</mi> <mi>i</mi> </msub> </mrow> </semantics></math>; (<b>b</b>) elevation distance <math display="inline"><semantics> <mrow> <mo>Δ</mo> <msub> <mi>φ</mi> <mi>i</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Mean computational time vs. the number of sensors.</p>
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<p>Noise performance: RMSE vs. SNR with <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mi>M</mi> <mo>=</mo> <mn>11</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mi>L</mi> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math>.</p>
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19 pages, 30302 KiB  
Article
Application of Quasi-Continuous Waveform Coding in Spaceborne Synthetic Aperture Radar
by Weizheng Shao, Tao Lai, Haifeng Huang, Qingsong Wang and Peng Shen
Remote Sens. 2024, 16(2), 348; https://doi.org/10.3390/rs16020348 - 15 Jan 2024
Viewed by 1080
Abstract
Quasi-continuous wave radar is an attempt to give consideration to the performance of pulse and continuous wave radar signals. However, it also has the shortcomings of both. This paper aims to add a new quasi-continuous-wave coding method to the spaceborne synthetic aperture radar [...] Read more.
Quasi-continuous wave radar is an attempt to give consideration to the performance of pulse and continuous wave radar signals. However, it also has the shortcomings of both. This paper aims to add a new quasi-continuous-wave coding method to the spaceborne synthetic aperture radar (SAR) system. The technology of improving spaceborne SAR imaging performance by coding quasi-continuous-wave pulses is studied, and some shortcomings of this algorithm are improved. Firstly, the application of quasi-continuous-wave radar in the SAR system is studied, and the coding and reconstruction scheme is provided so that this technology can be successfully applied in spaceborne SAR. Secondly, the effects of different quasi-continuous-wave coding methods on SAR imaging performance are evaluated, including signal-to-noise ratio, resolution, and integration time. Then, several coding schemes are given, and the characteristic changes of the signal after quasi-continuous-wave coding are analyzed. The transmit–receive conversion loss function and azimuth Doppler ambiguity function of the design scheme are analyzed, which proves the advantages of the scheme. Finally, we design the hardware implementation scheme and carry out the practical test. Full article
(This article belongs to the Section Engineering Remote Sensing)
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<p>(<b>a</b>) Normal observation echo of a ship. (<b>b</b>) Schematic of occluded and aliased echoes after quasi-continuous-wave observation of a ship.</p>
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<p>Algorithm flow chart.</p>
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<p>(<b>a</b>) Point target; (<b>b</b>) point target after reconstruction; (<b>c</b>) point arrays; (<b>d</b>) point arrays after reconstruction.</p>
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<p>Experimental site and props.</p>
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<p>Reconstructed images by pulse coding of ships from different angles compared with common images.</p>
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<p>Performance evaluation of point target in <a href="#remotesensing-16-00348-f003" class="html-fig">Figure 3</a>: (<b>a</b>) azimuth section of point target by traditional method; (<b>b</b>) azimuth section of point target after reconstruction; (<b>c</b>) range section of point target by traditional method; (<b>d</b>) range section of point target after reconstruction.</p>
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<p>Performance evaluation of regional noise: (<b>a</b>) ground noise of ship image by traditional method; (<b>b</b>) ground noise of ship image after reconstruction; (<b>c</b>) Image histogram of ground noise by traditional method; (<b>d</b>) Image histogram of ground noise after reconstruction.</p>
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<p>Mountain scenes. The blue box shows the contrast enhancement. The red box shows the azimuth ambiguity.</p>
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<p>Evaluation of large scenes.</p>
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<p>Consider the effect of averaged power of noise changing with the azimuth variation.</p>
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<p>Nanoseconds transmit–receive conversion time of 500 s.</p>
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<p>Comparison of pulse compression results in two cases.</p>
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21 pages, 848 KiB  
Article
A Novel Non-Stationary Clutter Suppression Approach for Space-Based Early Warning Radar Using an Interpulse Multi-Frequency Mode
by Ning Qiao, Shuangxi Zhang, Shuo Zhang, Qinglei Du and Yongliang Wang
Remote Sens. 2024, 16(2), 314; https://doi.org/10.3390/rs16020314 - 12 Jan 2024
Cited by 1 | Viewed by 1032
Abstract
The non-stationary clutter of space-based early warning radar (SBEWR) is more serious than that of airborne early warning radar. This phenomenon is primarily attributed to the Earth’s rotation and range ambiguity. The increase in clutter degrees of freedom (DOFs) and the significant widening [...] Read more.
The non-stationary clutter of space-based early warning radar (SBEWR) is more serious than that of airborne early warning radar. This phenomenon is primarily attributed to the Earth’s rotation and range ambiguity. The increase in clutter degrees of freedom (DOFs) and the significant widening of the clutter suppression notch are not conducive to moving target detection near main lobe clutter. This paper proposes an effective approach to suppress non-stationary clutter based on an interpulse multi-frequency mode for SBEWR. Using the orthogonality of the uniform stepping frequency signal, partial range ambiguity can be effectively suppressed, and the clutter DOFs will be reduced. Subsequently, joint pitch-azimuth-Doppler three-dimensional spacetime adaptive processing and slant range preprocessing are used to perform clutter suppression. This combination not only curtails the estimation error associated with the clutter covariance matrix but also enhances the overall detection capabilities of the system. The simulation results verify the effectiveness of the proposed approach. Full article
(This article belongs to the Special Issue Signal Processing Theory and Methods in Remote Sensing)
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<p>Geometric model.</p>
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<p>The carrier frequency of the signal. (<b>a</b>) Pulse train. (<b>b</b>) Carrier frequency stepping rule.</p>
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<p>Range ambiguity. (<b>a</b>) The range gate to be tested receives the first pulse. (<b>b</b>) The range gate to be tested receives the <span class="html-italic">k</span>th pulse.</p>
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<p>The orthogonality of signals with different carrier frequencies.</p>
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<p>The range ambiguity suppression based on the interpulse multi-frequency signals.</p>
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<p>The flow chart of clutter suppression.</p>
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<p>The channel selection of 3D-JDL.</p>
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<p>The errors of the slant distance, azimuth and Doppler in different range gates: (<b>a</b>) 600 km, (<b>b</b>) 1000 km and (<b>c</b>) 1800 km.</p>
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<p>Signal processing.</p>
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<p>The variation of clutter DOFs.</p>
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<p>The clutter RD spectrum of 2D-STAP. (<b>a</b>) Single-carrier frequency. (<b>b</b>) Multi-frequency. (<b>c</b>) Multi-frequency + slant range preprocessing.</p>
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<p>The output SCNR of 2D-STAP.</p>
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<p>The clutter RD spectrum of 3D-STAP. (<b>a</b>) Single-carrier frequency. (<b>b</b>) Multi-frequency. (<b>c</b>) Multi-frequency + slant range preprocessing.</p>
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<p>The output SCNR of 3D-STAP.</p>
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<p>The output power of the Doppler channel where the target was located.</p>
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14 pages, 19171 KiB  
Communication
Across-Track and Multi-Aperture InSAR for 3-D Glacier Velocity Estimation of the Siachen Glacier
by Vijay Kumar, Kjell Arild Høgda and Yngvar Larsen
Remote Sens. 2023, 15(19), 4794; https://doi.org/10.3390/rs15194794 - 1 Oct 2023
Viewed by 1364
Abstract
Interferometric Synthetic Aperture Radar (InSAR) remote sensing generally lacks deformation sensitivity in the along-track direction. In this proposed approach, across-track observations from conventional InSAR, using both ascending and descending passes, were superimposed with the along-track movement derived from multi-aperture InSAR (MAI) to determine [...] Read more.
Interferometric Synthetic Aperture Radar (InSAR) remote sensing generally lacks deformation sensitivity in the along-track direction. In this proposed approach, across-track observations from conventional InSAR, using both ascending and descending passes, were superimposed with the along-track movement derived from multi-aperture InSAR (MAI) to determine the full three-dimensional (3-D) velocity of the Siachen Glacier in the Karakoram range of the Himalayas. The along-track velocity signal is essential for estimating the movement component in the north/south direction, which is needed for a complete delineation of 3-D deformation. The velocity observed was improved using the MAI technique in comparison to the conventional ascending/descending 3-D velocity estimation approach, and substantial differences were noticed between these two methods, particularly in the lower part of the glacier, which is moving almost in an along-track (north/south) direction. Glacier velocity varied from 0.3 md−1 in the accumulation zone to 0.60 md−1 in the terminus zone of the Siachen Glacier using this newly proposed approach. This study presents a 3-D velocity estimation without any preconceived assumptions regarding the flow conditions of glaciers and without any azimuth ambiguity. Full article
(This article belongs to the Special Issue Emerging Remote Sensing Techniques for Monitoring Glaciers and Snow)
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<p>Location map of Siachen Glacier Left: various satellite sensor (optical and SAR) acquisition scenes covering the Siachen Glacier. Right: topography of local area and a line segment OP, starting from the terminus front at O to the accumulation zone P, drawn along the central portion of the glacier.</p>
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<p>Along-track imaging geometry for forward- and backward-looking interferograms by squinting at the angle ±β.</p>
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<p>Flow of splitting two co-registered SLCs images for the generation of along-track displacement using MAI. I<sub>f</sub> and I<sub>b</sub> are forward- and backward-looking intreferogram phases, respectively.</p>
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<p>The velocity components from ascending pass (<math display="inline"><semantics> <mrow> <msub> <mi>d</mi> <mrow> <mi>a</mi> <mi>L</mi> <mi>O</mi> <mi>S</mi> </mrow> </msub> </mrow> </semantics></math>), descending pass (<math display="inline"><semantics> <mrow> <msub> <mi>d</mi> <mrow> <mi>d</mi> <mi>L</mi> <mi>O</mi> <mi>S</mi> </mrow> </msub> </mrow> </semantics></math>) and along-track (<math display="inline"><semantics> <mrow> <msub> <mi>d</mi> <mrow> <mi>a</mi> <mi>t</mi> <mi>i</mi> </mrow> </msub> </mrow> </semantics></math>) interferometry techniques used to estimate three-dimensional glacier motions. D represents the three-dimensional motion in a local rectangular coordinate system.</p>
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<p>Flow chart for 3-D movement estimation using ascending and descending pass and corresponding MAI-based components.</p>
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<p>Velocity fields using (<b>a</b>) Ascending pass InSAR pair of 1–2 April 1996. (<b>b</b>) Descending pass InSAR pair of 2–3 May 1996. Coloured (gray) scale bar indicates LOS movement along the central line of the glacier. * is demarcation point.</p>
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<p>Along-track differential MAI from descending InSAR pairs.</p>
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<p>Velocity in md<sup>−1</sup> variation along the central line (OF) of glacier as plot (i) 3-D velocity-derived using ADIMAI, (ii) Descending pass MAI, (iii) Proxy 3-D ([<a href="#B1-remotesensing-15-04794" class="html-bibr">1</a>], (iv) Altitude variation meter and (v) Offset tracking-based derived from velocity using Landsat-8.</p>
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<p>Landsat-8 velocity map during the years 2017–2018 for Siachen Glacier.</p>
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21 pages, 7485 KiB  
Article
A Signal Model Based on the Space–Time Coding Array and a Novel Imaging Method Based on the Hybrid Correlation Algorithm for F-SCAN SAR
by Yuqing Liu, Pengbo Wang, Zhirong Men, Yanan Guo, Tao He, Rui Bao and Lei Cui
Remote Sens. 2023, 15(17), 4276; https://doi.org/10.3390/rs15174276 - 31 Aug 2023
Cited by 1 | Viewed by 1197
Abstract
The F-SCAN principle is a better alternative to the scan-on-receive technique (SCORE) based on digital beamforming (DBF), which can avoid low gain caused by a conventional broad beam in the case of a wide swath. In F-SCAN SAR, a pencil beam scans the [...] Read more.
The F-SCAN principle is a better alternative to the scan-on-receive technique (SCORE) based on digital beamforming (DBF), which can avoid low gain caused by a conventional broad beam in the case of a wide swath. In F-SCAN SAR, a pencil beam scans the entire target area from far to near, providing high energy independent of the position and ensuring a low range ambiguity-to-signal ratio (RASR). Moreover, echo compression can be achieved via appropriate system parameter configuration, significantly shortening the receive window and reducing the amount of data. A wider range swath can, therefore, be achieved. However, for this novel F-SCAN SAR working mode, signal modeling and imaging processing are key issues that needed to be addressed. In this paper, the far-field synthetic antenna pattern of the space–time coding array (STCA) is first derived and analyzed, based on which the signal modeling of the F-SCAN SAR is carried out. Then, according to the signal model and echo characteristics, a novel imaging processing method based on the hybrid correlation algorithm is presented for the F-SCAN SAR. First, the dechirp operation is performed to compensate for the quadratic phase of the range time. The range compressed result is obtained after a range Fourier transform, where different range targets are successfully separated and range aliasing is avoided. Then, the modified azimuth reference function is correlated with the echo at each range cell to complete range cell migration correction (RCMC) and azimuth compensation. The received signal parameters and the Doppler parameters of each range cell are derived to update the azimuth reference function. Finally, accurate focused results are obtained in the range-frequency, azimuth-time domain. The simulation results indicate that the signal model based on the STCA can satisfy the requirements of the F-SCAN principle, and the proposed imaging algorithm can complete the precise focusing processing of the F-SCAN SAR echo. Full article
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Graphical abstract

Graphical abstract
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<p>Beam scanning in the elevation plane.</p>
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<p>The model of the space–time coding array and transmitted signals.</p>
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<p>Radar’s receive window and complete echoes from far, middle, and near range targets on the swath. (1) The green signal represents the echo from the near-range target, which is illuminated by the pencil beam at a later moment, but its propagation delay is shorter due to the shorter slant range <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi>n</mi> </msub> </mrow> </semantics></math>; (2) the orange signal represents the echo from the far-range target, which is illuminated earlier by the pencil beam, but has a longer delay due to the longer slant range <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi>f</mi> </msub> </mrow> </semantics></math>; (3) the black signal is the echo from the middle reference target with slant range <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mn>0</mn> </msub> </mrow> </semantics></math>, which is a compromise between the previous two.</p>
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<p>The imaging processing flowchart for F-SCAN SAR.</p>
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<p>The placement of the STCA and the relationship between some angles.</p>
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<p>Synthetic antenna patterns in different directions.</p>
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<p>Pencil beam pointing angle versus time.</p>
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<p>Ground scene layout of the targets.</p>
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<p>The magnitude of the F-SCAN SAR echoes from point targets <math display="inline"><semantics> <mrow> <msub> <mi>T</mi> <mn>1</mn> </msub> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>T</mi> <mn>2</mn> </msub> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>T</mi> <mn>3</mn> </msub> </mrow> </semantics></math>. (<b>a</b>) Echoes in the two-dimensional time domain. (<b>b</b>) Echoes in the range-frequency, azimuth-time domain.</p>
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<p>Range compressed data and the partial magnifications of the target trajectories.</p>
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<p>Two-dimensional contour, range profile, and azimuth profile of the focused results. (<b>a1</b>–<b>a3</b>) The results for the point target <math display="inline"><semantics> <mrow> <msub> <mi>T</mi> <mn>1</mn> </msub> </mrow> </semantics></math>. (<b>b1</b>–<b>b3</b>) The results of the point target <math display="inline"><semantics> <mrow> <msub> <mi>T</mi> <mn>2</mn> </msub> </mrow> </semantics></math>. (<b>c1</b>–<b>c3</b>) The results of point target <math display="inline"><semantics> <mrow> <msub> <mi>T</mi> <mn>3</mn> </msub> </mrow> </semantics></math>. The results have been oversampled by a factor of 16 to show more details.</p>
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<p>Two-dimensional contour, range profile, and azimuth profile of the focused results. (<b>a1</b>–<b>a3</b>) The results for the point target <math display="inline"><semantics> <mrow> <msub> <mi>T</mi> <mn>1</mn> </msub> </mrow> </semantics></math>. (<b>b1</b>–<b>b3</b>) The results of the point target <math display="inline"><semantics> <mrow> <msub> <mi>T</mi> <mn>2</mn> </msub> </mrow> </semantics></math>. (<b>c1</b>–<b>c3</b>) The results of point target <math display="inline"><semantics> <mrow> <msub> <mi>T</mi> <mn>3</mn> </msub> </mrow> </semantics></math>. The results have been oversampled by a factor of 16 to show more details.</p>
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<p>The SAR image acquired by the GF-3 satellite.</p>
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<p>Imaging results for the simulated echo. (<b>a</b>) The result from the conventional chirp scaling algorithm. (<b>b</b>) The result from the proposed algorithm (after flipping left and right).</p>
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18 pages, 5079 KiB  
Article
Ship Detection in PolSAR Images Based on a Modified Polarimetric Notch Filter
by Xiangyu Zhou and Tao Li
Electronics 2023, 12(12), 2683; https://doi.org/10.3390/electronics12122683 - 15 Jun 2023
Cited by 2 | Viewed by 1025
Abstract
Ship detection based on synthetic aperture radar (SAR) imagery is one of the key applications for maritime security. Compared with single-channel SAR images, polarimetric SAR (PolSAR) data contains the fully-polarized information, which better facilitates better discriminating between targets, sea clutter, and interference. Therefore, [...] Read more.
Ship detection based on synthetic aperture radar (SAR) imagery is one of the key applications for maritime security. Compared with single-channel SAR images, polarimetric SAR (PolSAR) data contains the fully-polarized information, which better facilitates better discriminating between targets, sea clutter, and interference. Therefore, many ship detection methods based on the polarimetric scattering mechanism have been studied. To deal with the false alarms caused by the existence of ghost targets, resulting from azimuth ambiguities and interference from side lobes, a modified polarimetric notch filter (PNF) is proposed for PolSAR ship detection. In the proposed method, the third eigenvalue obtained by the eigenvalue–eigenvector decomposition of the polarimetric covariance matrix is utilized to construct a new feature vector. Then, the target power can be computed to construct the modified PNF detector. On the one hand, the detection rate of ship targets can be enhanced by target-to-clutter contrast. On the other hand, false alarms resulting from azimuth ambiguities and side lobes can be reduced to an extent. Experimental results based on three C-band AIRSAR PolSAR datasets demonstrated the capability of the proposed PNF detector to improve detection performance while reducing false alarms. To be specific, the figure of merit (FoM) of the proposed method is the highest among comparative approaches with results of 80%, 100%, and 100% for the tested datasets, respectively. Full article
(This article belongs to the Section Computer Science & Engineering)
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<p>The flowchart of our modified NPNF detector.</p>
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<p>Ground-truth of C-band AIRSAR image collected over Kojimawan Bay, Japan. (<b>a</b>) Pauli RGB color composites with ground-truths. (<b>b</b>) Grayscale imagery with ground-truths.</p>
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<p>The decomposed eigenvalues of C-band AIRSAR image collected over Kojimawan Bay, Japan. (<b>a</b>) The normalized magnitude image of <math display="inline"><semantics> <msub> <mi>λ</mi> <mn>1</mn> </msub> </semantics></math>. (<b>b</b>) The normalized magnitude image of <math display="inline"><semantics> <msub> <mi>λ</mi> <mn>2</mn> </msub> </semantics></math>. (<b>c</b>) The normalized magnitude image of <math display="inline"><semantics> <msub> <mi>λ</mi> <mn>3</mn> </msub> </semantics></math>.</p>
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<p>The corresponding power images before thresholding for PolSAR images collected over Kojimawan Bay, Japan. (<b>a</b>) PWF. (<b>b</b>) PNF. (<b>c</b>) NPNF. (<b>d</b>) PCDM. (<b>e</b>) <math display="inline"><semantics> <msub> <mi>λ</mi> <mn>3</mn> </msub> </semantics></math>. (<b>f</b>) Proposed method. For fair comparison, the power values were normalized into [0, 1].</p>
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<p>Detection results for PolSAR image collected over Kojimawan Bay, Japan. (<b>a</b>) Result of PWF. (<b>b</b>) Result of PNF. (<b>c</b>) Result of NPNF. (<b>d</b>) Result of PCDM. (<b>e</b>) Result of proposed detector.</p>
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<p>Ground-truth for PolSAR image collected over Tokyo Bay, Japan. (<b>a</b>) Pauli RGB color composites with ground-truths. (<b>b</b>) Grayscale imagery with ground-truths.</p>
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<p>The corresponding power images before thresholding for PolSAR image collected over Tokyo Bay, Japan. (<b>a</b>) PWF. (<b>b</b>) PNF. (<b>c</b>) NPNF. (<b>d</b>) PCDM. (<b>e</b>) <math display="inline"><semantics> <msub> <mi>λ</mi> <mn>3</mn> </msub> </semantics></math>. (<b>f</b>) Proposed method. For fair comparison, the power values were normalized into [0, 1].</p>
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<p>Detection results for PolSAR image collected over Tokyo Bay, Japan. (<b>a</b>) Result of PWF. (<b>b</b>) Result of PNF. (<b>c</b>) Result of NPNF. (<b>d</b>) Result of PCDM. (<b>e</b>) Result of proposed detector.</p>
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<p>Ground-truth for PolSAR image collected over Hiroshima Bay, Japan. (<b>a</b>) Pauli RGB color composites with ground-truths. (<b>b</b>) Grayscale imagery with ground-truths.</p>
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<p>The corresponding power images before thresholding for PolSAR image collected over Hiroshima Bay, Japan. (<b>a</b>) PWF. (<b>b</b>) PNF. (<b>c</b>) NPNF. (<b>d</b>) PCDM. (<b>e</b>) <math display="inline"><semantics> <msub> <mi>λ</mi> <mn>3</mn> </msub> </semantics></math>. (<b>f</b>) Proposed method. For fair comparison, the power values have been normalized into [0, 1].</p>
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<p>Detection results for PolSAR image collected over Hiroshima Bay, Japan. (<b>a</b>) Result of PWF. (<b>b</b>) Result of PNF. (<b>c</b>) Result of NPNF. (<b>d</b>) Result of PCDM. (<b>e</b>) Result of proposed detector.</p>
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