We propose a restoration method to compensate distortions caused by cross-polarization interference (CPI) and multipath propagation when multichannel transmission is employed in the uplink of an on-board-processing (OBP) satellite. The proposed baseband signal processing architecture is numerically robust and efficient as vector operations are avoided by efficient orthogonal transformations. Since the algorithm is based on higher-than-second-order statistics, the method is very effective in severe distortion conditions where a traditional, perfectly trained Kalman multichannel filter obtains poor performance.
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