Quasi-Orthogonal Z-Complementary Pairs and Its Applications in Fully Polarimetric Radar Systems

In this paper, sequences with low local ambiguity functions are presented by analyzing the matrix-valued ambiguity function in a fully polarimetric radar system. The two sequences, formed from the obtained Quasi-orthogonal Z-complementary Pair (QOZCP) whose transmission orders are determined by the Prouhet-Thue-Morse sequence and the Alamouti matrix, can result in a low local Auto-Ambiguity Function (AAF) in a modest Doppler shift interval and a very low local Cross-Ambiguity Function (CAF) among all Doppler shifts. The QOZCP is obtained from a solution of an optimization problem. In order to solve the problem, a new algorithm named by Successively Distributed Algorithms under Majorization Minimization (SDAMM) is proposed. Finally, it is shown that QOZCP waveforms are much more Doppler resilient than the known Golay complementary waveforms in terms of the AAF and CAF.