Polarimetric Autocorrelation Matrix: A New Tool for Joint Characterizing of Target Polarization and Doppler Scattering Mechanism

• Published in: IEEE transactions on geoscience and remote sensing 2024, Vol.62, p.1-22
• Main Authors: Zhang, Xi, Gao, Gui, Chen, Si-Wei
• Format: Article
• Language: English
• Subjects: Autocorrelation; Covariance; Covariance matrices; Doppler effect; Doppler radar; Doppler shift; Doppler sonar; Horizontal polarization; Matrix decomposition; Matrix methods; Moving targets; Parameters; polarimetric autocorrelation matrix; Polarization; polarization and Doppler features; Radar; Radar polarimetry; Radarsat; Radial velocity; SAR (radar); Scattering; Sea currents; Sea ice; Sea surface; Statistical methods; Surface motion; Synthetic aperture radar; synthetic aperture radar (SAR); Target detection; Vertical polarization
• ISSN: 0196-2892; 1558-0644
• DOI: 10.1109/TGRS.2024.3398632

This article introduces an innovative approach in synthetic aperture radar (SAR) polarimetry and proposes a novel descriptor called polarimetric autocorrelation matrix. Different from polarimetric covariance and coherency matrices, the polarimetric autocorrelation matrix can capture hidden Doppler information in the frequency domain and encode it in the phase using higher order statistical methods. This matrix facilitates the joint extraction and analysis of polarization and Doppler information from fully polarimetric SAR (PolSAR) data through a matrix analysis. This article explains that the polarimetric autocorrelation matrix can be decomposed into a Doppler-related matrix and a covariance-related matrix. The magnitudes and phases of these matrices provide insight into Doppler shifts between different polarizations and the variance of the backscattering coefficient. Our research demonstrates how the Doppler shift is influenced not only by the target's radial velocity but also by radar polarization. Four quad-polarimetric RADARSAT-2 images are used for testing in this study, and a set of characterization features and parameters are derived from the polarimetric autocorrelation matrix. The novel descriptor, together with the new parameters, can detect man-made target and sea ice, mitigate ambiguity caused by moving targets, and indicate the motion status of ship targets and sea currents. Specifically for marine scenes, our data found Doppler differences in horizontal transmit and horizontal receive (HH) polarization and vertical transmit and vertical receive (VV) polarization induced by sea surface motion can be up to 100 Hz.