L2 Regularized Reconstruction Matched Filter for Azimuth Multichannel SAR

Azimuth multichannel synthetic aperture radar (SAR) consistently encounters challenges associated with nonuniform sampling during its operation. The use of the conventional matrix inversion method leads to an increase in sampling irregularity, exacerbating noise interference during signal reconstruction and, consequently, contributing to a gradual decline in signal fidelity. This paper introduces a novel method to construct an L
2
regularized reconstruction matched filter, effectively mitigating noise impact prevalent in scenarios of extensive nonuniform sampling. The proposed method is highly computationally efficient, and the signal-to-noise ratio (SNR) index can be expressed in an unambiguous manner. Comparative simulation experiments illustrate the significant improvement in SNR performance achieved by the novel method in comparison to the traditional matrix inversion method.