IEEE GEOSCIENCE AND REMOTE SENSING LETTERS, VOL. 7, NO. 4, OCTOBER 2010
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Sea-State Determination Using GNSS-R Data
J. F. Marchan-Hernandez, E. Valencia, N. Rodriguez-Alvarez, I. Ramos-Perez,
X. Bosch-Lluis, A. Camps, Francisco Eugenio, and Javier Marcello
Abstract—Global Navigation Satellite Systems (GNSS) signals
can be used to infer geophysical data related to the surface where
they scatter. When dealing with the sea surface, its state influences
the GNSS scattered signals and, therefore, the GNSS reflectometry (GNSS-R) observables. The aim of the Advanced L-band
Emissivity and Reflectivity Observations of the Sea Surface 2008
field experiment was to gather experimental data to study the
relationship of the GNSS-R delay-Doppler maps (DDMs) and the
sea state. This work describes the field campaign and the main
results obtained, where among them is the use of the DDM volume
as a roughness descriptor weakly affected by the GPS satellite
geometry.
Index Terms—Delay-Doppler map (DDM), Global Navigation
Satellite Systems reflectometry (GNSS-R), sea state.
I. I NTRODUCTION
EA SURFACE salinity is a key parameter in both climatology and oceanography fields, and its retrieval can be
accomplished by means of L-band radiometry [1]. The sea state
introduces a change in the observed brightness temperatures
that must be corrected for. This can be achieved using active
illumination systems, as planned for the National Aeronautics
and Space Administration’s Aquarius salinity mission, or by
means of reflected signals from Global Navigation Satellite
Systems reflectometry (GNSS-R).
The use of GNSS-R has been studied through the last
15 years, which yielded promising results: from altimetry applications [2], [3] to soil moisture determination [4], ice characterization [5], or sea-state retrieval [6], [7]. For the GNSS-R
sea-state determination approach to perform the roughnessinduced radiometric correction, the power and mass requirements are significantly lowered since there is no receiver, and
a small antenna can be used. Moreover, the bistatic geometry
S
Manuscript received October 2, 2009; revised December 29, 2009. Date
of publication April 1, 2010; date of current version October 13, 2010. This
work, conducted as part of the award “Passive Advanced Unit (PAU): A Hybrid
L-band Radiometer, GNSS-Reflectometer and IR-Radiometer for Passive Remote Sensing of the Ocean” made under the European Heads of Research
Councils and European Science Foundation European Young Investigator
(EURYI) Awards scheme in 2004, was supported by funds from the Participating Organizations of EURYI and the EC Sixth Framework Program and was
also funded by Research Projects ESP2007-65667-C04 and AYA2008-05906C02-01/ESP.
J. F. Marchan-Hernandez, E. Valencia, N. Rodriguez-Alvarez,
I. Ramos-Perez, X. Bosch-Lluis, and A. Camps are with the Remote Sensing
Laboratory, Departament de Teoria del Senyal i Comunicacions, and the
Aeronautics and Space Research Center (CRAE), Institut d’Estudis Espacials
de Catalunya, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain
(e-mail: jfmarchan@tsc.upc.edu).
F. Eugenio and J. Marcello are with the Departamento de Señales y Sistemas,
Universidad de Las Palmas de Gran Canaria, 35017 Las Palmas de Gran
Canaria, Spain.
Color versions of one or more of the figures in this paper are available online
at http://ieeexplore.ieee.org.
Digital Object Identifier 10.1109/LGRS.2010.2043213
ensures a strong signal return in the specular direction, in
opposition to the weak return obtained with monostatic radar
off-nadir configurations. Additionally, the GNSS-R approach
is less sensitive to power calibration since both direct (opportunity transmitter–receiver link) and scattered signals are
processed. The existence of several deployed or planned GNSS
constellations (GPS, GLONASS, Galileo, Compass, IRNSS,
. . .) increases the availability of temporal and spatial colocated
GNSS-R and radiometric measurements. In [8], a model of
the reflected waveform is fitted to the measured waveform
using the wind speed (WS) as the tuning parameter. Another
approach calls for using the so-called interferometric complex
field, resulting from the coherent processing of both direct and
reflected signals, to obtain a direct estimate of the significant
wave height (SWH) [9]. These two approaches require the
use of both electromagnetic and sea surface models. To avoid
modeling errors in the brightness temperature correction for
salinity retrieval, a direct relationship between the sea state and
a GNSS-R observable was put forward in [10]. The proposed
GNSS-R descriptor is the volume of the normalized delayDoppler map [(DDM); maximum amplitude equal to one]
above a threshold to eliminate the noise dependence. Such a
descriptor is related to the extent of the glistening zone (the
area from which scattered signals are observed), which depends
on the sea state. To test this assumption, the Advanced L-band
Emissivity and Reflectivity Observations of the Sea Surface
2008 (ALBATROSS 2008) campaign was conducted in the
north coast of the Gran Canaria island (Mirador del Balcón, La
Aldea de San Nicolás).
II. C AMPAIGN D ESCRIPTION
The campaign aimed to acquire an extensive data set of
collocated GNSS-R and L-band radiometric data over the sea
surface under different sea-state conditions using ground-based
sensors. The three main requirements of the test site were:
1) its geometry, the highest possible height over the sea surface,
the better, to cover the largest possible range of delays; 2) seastate variability; and 3) its orientation to north, to minimize Sun
and galaxy contamination in the radiometric measurements.
The selected site (Mirador del Balcón) is a scenic viewpoint
located in the steep northwest coast of the Gran Canaria island
(Canary Islands, Spain). It is located about 400 m over the
mean sea level, with a slope of ∼45◦ down to the sea. The area
is driven by strong and moist north-component winds (trade
winds) mainly in the summer, with minimum influence of the
land. The Passive Advanced Unit (PAU)/GNSS-R [11] and the
L-band Automatic Radiometer [12] instruments were located at
the viewpoint aiming toward the sea (Fig. 1).
Oceanographic buoys gathering ground truth data were
moored near the observation site within the field of view of
the instruments: Two salinity buoys from Universidad de las
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IEEE GEOSCIENCE AND REMOTE SENSING LETTERS, VOL. 7, NO. 4, OCTOBER 2010
Fig. 2. Buoy ground truth for ALBATROSS 2008. (a) Scatter plot between
U10 and SWH for the Agaete buoy (R = 0.26). (b) Evolution in time of the
SWH measured by both the Agaete and the TRIAXYS buoys.
Fig. 1. Experimental setup for ALBATROSS 2008. (a) Overview of the
measurement site. (b) Reflectometer aiming to the sea.
Palmas de Gran Canaria and from Universitat Politècnica de
Catalunya (UPC) were equipped with SBE-37 thermosalinometers, and the third one was a TRIAXYS directional sea surface
spectrum buoy from UPC. In addition to that, data from a
SeaWatch buoy 18 km offshore of the deep-water buoy network
of the Spanish Harbor Authority were available. The field
experiment lasted from May 27 to July 4, 2008, in an attempt
to catch different sea-state conditions. PAU/GNSS-R acquired
the GPS reflected signals and computed real-time DDMs in two
operating modes:
1) 1-min bursts of complex DDMs every 1 ms without
averaging;
2) 50-min continuous acquisition, with 1-s incoherent averaging of 1000 1-ms DDMs.
Every hour, two consecutive 1-min bursts were acquired
followed by a 50-min capture. The site topography imposed the
field-of-view mask from where GPS satellite reflections were
found: elevations below 45◦ and azimuths between 270◦ and
30◦ north (0◦ : north direction, angles measured clockwise). The
down-looking antenna was a hexagonal seven-element array
with a 25◦ half-power beamwidth, whereas the antenna to track
the direct signal was a single patch, thus having a wider field
of view.
III. DATA P ROCESSING
The real-time computed DDMs had a resolution of 0.36 chips
in delay (two samples at the sampling frequency of the system)
and 200 Hz in the Doppler domain. Therefore, the minimum
sampling values of one chip in delay and 1 kHz in Doppler for
a coherent integration time of 1 ms [8] were met. The overall
size was 16 × 16 points. Each DDM was stored with additional
parameters such as the estimated delay and Doppler used for
its computation, the satellite identifier, and the elevation angle.
These DDMs were straightforwardly processed to extract the
peak value, the peak-to-floor ratio (equivalent to the SNR), and
the volume of the normalized DDM (maximum equal to one)
that exceeds a predetermined threshold above the noise level,
expressed in arbitrary measurement units.
IV. D EPENDENCE OF THE DDM VOLUME
ON THE S EA S TATE
Candidate parameters to act as sea-state descriptors are the
SWH, the mean-squared slope (MSS), and the surface WS.
Usually, the WS at 10-m height (U10) is used to parameterize
the sea state, even though it is known that such a relationship is
incompatible at L-band [12] and that other parameters such as
swell do play an important role. The Agaete buoy does provide
WS, SWH, and time spectrum. The scatter plot between U10
and SWH for this buoy is shown in Fig. 2(a), showing a weak
dependence (R = 0.26). On the other hand, the TRIAXYS
buoy records SWH and directional spectrum but keeps no
record on the WS. Fig. 2(b) shows a pretty good correlation
(R = 0.72) between the SWH recorded by the two buoys some
18 km apart. This fact makes possible to work only with the data
from the Agaete buoy, to fill the gap existing on the TRIAXYS
data, associated to the highest recorded SWH values. The
oceanographic data are the result of 20-min integration every
hour. Therefore, it is necessary to resample it to match the
resolution of the PAU/GNSS-R data.
From Fig. 3, it is clear that the volume dependence on the WS
is much weaker than the volume dependence on either the SWH
MARCHAN-HERNANDEZ et al.: SEA-STATE DETERMINATION USING GNSS-R DATA
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Fig. 4. Volume dependence on the incidence angle for the ALBATROSS 2008
geometry (h = 360 m, elevation = 30◦ ). (a) Simulated volume. (b) Linear
fitting coefficients for the four elevation ranges [(1) 15◦ −20◦ , (2) 20◦ −25◦ ,
(3) 25◦ −30◦ , and (4) 30◦ −35◦ ]. There is virtually no dependence on the
elevation angle.
ranges, from 15◦ to 35◦ . Then, each V ol(SW H) dependence
was fitted to a first-order polynomial
V OL = a · SW H + b
Fig. 3. Volume dependence on several sea-state descriptors: (a) WS (R =
0.37), (b) SWH (R = 0.71), and (c) MSS (R = 0.68). The WS has the
weakest correlation with respect to the DDM volume. Each color represents
data points from the same acquisition.
or the MSS. In the ALBATROSS 2008 campaign, these two
parameters seem to be quite equivalent, which is reasonable,
since both are numerically computed from the same sea surface
spectra, even though the integrations cover different ranges of
wavenumbers. Therefore, the SWH was chosen as the sea-state
descriptor because of it having a slightly higher correlation
with the normalized DDM volume (R = 0.71), even though
MSS (R = 0.68) is acknowledged to be the parameter actually
sensed by GNSS-R.
V. I NFLUENCE OF THE E LEVATION A NGLE
As already stated, the 1-s incoherently averaged measurements were acquired continuously during 50 min every hour.
During this time interval, the GPS satellite significantly changes
its position, and so, the elevation could change up to 21◦ .
Therefore, the time dependence of the volume can be straightforwardly translated into elevation dependence. For the geometry of the ALBATROSS campaign, the simulations performed
show nearly no relationship between these two parameters
[Fig. 4(a)]. To verify this fact with the collected data, the
volume measurements were assigned to four 5◦ -wide elevation
(1)
where a and b are the linear fit coefficients.
As inferred from the retrieved linear polynomial coefficients
[Fig. 4(b)], no significant differences between the different
elevation ranges are found. That means that, for the groundbased scenario of the ALBATROSS campaign, the volume
observable is approximately independent with respect to the
satellite elevation. This result was confirmed by numerical simulations [13]. As explained in the following section, since the
volume is a multiangular measurement, a changing geometry
has a limited impact on the retrieved measurements.
VI. A NTENNA PATTERN I MPACT
The DDM peak value exhibits a strong variation with varying
elevation angle [Fig. 5(a)], which is largely due to the antenna
pattern modulation (25◦ half-power beamwidth). The DDM
peak is related to the scattered power over the ocean surface
at the delay, Doppler, and incidence angle (complementary
of the satellite elevation angle) corresponding to the specular
reflection point. Other DDM bins are associated to surface
points with different incidence angles. This explains that the
antenna pattern affects much more the peak than the DDM
volume observable [Fig. 5(b)].
This volume is computed after normalizing the power DDM
(squared amplitude DDM) by defining a threshold above the
noise level. Lower thresholds imply a larger section of the DDM
being actually used to compute the volume and thus result
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TABLE I
F ITTING PARAMETERS FOR THE VOLUME D EPENDENCE ON THE SWH
the volume dependence on the WS predicted in [10]. The
following fitting function is proposed:
V OL = α · SW H (1/β) + γ.
(2)
The obtained fitting coefficients (a, β, and γ) are given
in Table I.
VII. C ONCLUSION
Fig. 5. (a) Sample DDM peak evolution as a function of the elevation angle.
(b) Sample normalized DDM volume as a function of the elevation angle. Each
DDM volume value is computed after normalizing the measured DDM by its
peak value.
The ALBATROSS 2008 campaign has provided an extensive
set of GNSS-R DDM observables from experimental data. A
new observable, the normalized volume of the DDM, has been
applied for the first time to that data to experimentally relate it
with the L-band sea surface roughness. It has been shown that
there is a strong correlation (∼0.7) between the DDM volume
and the SWH, and it exhibits a weak dependence on the elevation angle or the antenna pattern. The follow-up ALBATROSS
2009 campaign, whose data are currently under processing,
was focused on the direct relationship between the normalized
DDM volume and the observed brightness temperature so as to
be able to make the brightness temperature correction without
scattering and sea surface spectrum models.
R EFERENCES
Fig. 6. Volume dependence on the SWH for three different volume thresholds
(0.01, 0.2, and 0.5), plotted along with the proposed data fitting function.
in higher volume values and larger sensitivity. However, the
resulting standard deviation is also higher due to the presence
of noise peaks and a multipath from points that are farther away
from the specular direction (Fig. 6). Higher thresholds lead to
lower values of the DDM volume, smaller sensitivity to SWH,
and smaller standard deviation. Throughout ALBATROSS, the
SWH ranged between 1 and 2.6 m. In this range, the relationship between SWH and volume is pretty linear. An additional
point can be obtained analytically without modeling errors
for SW H = 0 (perfectly flat sea surface). This is equivalent
to using a direct signal, which has not experienced any kind
of scattering or multipath. In doing so, it is seen how the
dependence can no longer be considered linear throughout the
whole SWH range (Fig. 6). This behavior is consistent with
[1] J. Font, G. Lagerloef, D. LeVine, A. Camps, and O. Z. Zanife, “The
determination of surface salinity with the European SMOS space mission,” IEEE Trans. Geosci. Remote Sens., vol. 42, no. 10, pp. 2196–2205,
Oct. 2004.
[2] M. Martín-Neira, “A passive reflectometry and interferometry system
(PARIS): Application to ocean altimetry,” ESA J., vol. 17, no. 4, pp. 331–
355, 1993.
[3] S. Lowe, C. Zuffada, Y. Chao, P. Kroger, L. Young, and J. LaBrecque,
“Five-cm precision aircraft ocean altimetry using GPS reflections,” Geophys. Res. Lett., vol. 29, no. 10, p. 1375, May 2002.
[4] V. U. Zavorotny and A. G. Voronovich, “Bistatic GPS signal reflections
at various polarizations from rough land surface with moisture content,”
in Proc. Int. Geosci. Remote Sens. Symp., Honolulu, HI, Jul. 24–28, 2000,
pp. 2852–2854.
[5] A. Komjathy, J. Maslanik, V. U. Zavorotny, P. Axelrad, and
S. J. Katzberg, “Sea ice remote sensing using surface reflected GPS signals,” in Proc. Int. Geosci. Remote Sens. Symp., Honolulu, HI, Jul. 24–28,
2000, pp. 2855–2857.
[6] A. Rius, J. M. Aparicio, E. Cardellach, M. Martín-Neira, and B. Chapron,
“Sea surface state measured using GPS reflected signals,” Geophys. Res.
Lett., vol. 29, no. 23, p. 2122, Dec. 2002.
[7] J. L. Garrison, A. Komjathy, V. U. Zavorotny, and S. J. Katzberg, “Wind
speed measurements using forward scattered GPS signals,” IEEE Trans.
Geosci. Remote Sens., vol. 40, no. 1, pp. 50–65, Jan. 2002.
[8] V. U. Zavorotny and A. G. Voronovich, “Scattering of GPS signals from
the ocean with wind remote sensing application,” IEEE Trans. Geosci.
Remote Sens., vol. 35, no. 3, pp. 951–964, Mar. 2000.
[9] F. Soulat, M. Caparrini, O. Germain, P. Lopez-Dekker, M. Taani, and
G. Ruffini, “Sea state monitoring using coastal GNSS-R,” Geophys. Res.
Lett., vol. 31, no. 21, p. L21 303, 2004.
[10] J. F. Marchan-Hernandez, N. Rodríguez-Álvarez, A. Camps,
X. Bosch-Lluis, I. Ramos-Perez, and E. Valencia, “Correction of the sea
state impact in the L-band brightness temperature by means of delayDoppler maps of global navigation satellite signals reflected over the sea
surface,” IEEE Trans. Geosci. Remote Sens., vol. 46, no. 10, pp. 2914–
2923, Oct. 2008.
MARCHAN-HERNANDEZ et al.: SEA-STATE DETERMINATION USING GNSS-R DATA
[11] J. F. Marchan-Hernandez, A. Camps, N. Rodríguez-Álvarez,
X. Bosch-Lluis, I. Ramos-Perez, and E. Valencia, “PAU/GNSS-R:
Implementation, performance and first results of a real-time delayDoppler map reflectometer using Global Navigation Satellite System
signals,” Sensors J.—Special Issue Remote Sens. Natural Resources
Environ., vol. 8, no. 5, pp. 3005–3019, 2008.
[12] A. Camps, J. Font, M. Vall-llossera, C. Gabarró, I. Corbella, N. Duffo,
F. Torres, S. Blanch, A. Aguasca, R. Villarino, L. Enrique, J. Miranda,
J. Arenas, A. Julià, J. Etcheto, V. Caselles, A. Weill, J. Boutin,
S. Contardo, R. Niclós, R. Rivas, S. C. Reising, P. Wursteisen, M. Berger,
625
and M. Martín-Neira, “The WISE 2000 and 2001 field experiments
in support of the SMOS mission: Sea surface L-band brightness temperature observations and their application to multi-angular salinity retrieval,” IEEE Trans. Geosci. Remote Sens., vol. 42, no. 4, pp. 804–823,
Apr. 2004.
[13] J. F. Marchan-Hernandez, A. Camps, N. Rodríguez-Álvarez, E. Valencia,
X. Bosch-Lluis, and I. Ramos-Perez, “An efficient algorithm to the simulation of delay-Doppler maps of reflected Global Navigation Satellite
System signals,” IEEE Trans. Geosci. Remote Sens., vol. 47, pt. 2, no. 8,
pp. 2733–2740, Aug. 2009.