The Polarimetric Detection Optimization Filter and its Statistical Test for Ship Detection

Ship detection via synthetic aperture radar (SAR) has been demonstrated to be very useful as polarimetric information helps discriminate between targets and sea clutter. Among the available detectors, optimal (OPD) theoretically provides best performance under assumption that fully developed speckle hypothesis stands. This study proposes a optimization filter (PDOF). The target clutter ratio (TCR) over variation was maximized using matrix transform derive PDOF. objective function based on instead of vector is optimized obtain effects by combining whitening (PWF) matched (PMF). Subspace form PDOF (SPDOF) also proposed, which gives comparable Assuming Wishart distribution, exact approximate expressions closed-form probability density (PDF) are derived. false alarm (PFA) derived in expression, allows obtaining threshold analytically. Moreover, gamma model extended generalized distribution ( $\text{G}\Gamma \text{D}$ ) adapt complicated resolutions states. Experiments with simulated real data validate correctness effectiveness results. detector achieves most virtual real-world environments, especially cases where statistics not Wishart-distributed.