Abstract
This paper is devoted to constructing Doppler resilient (quasi) complementary waveforms (DRCW/DRQCs) out of conventional complementary pairs via the joint design of both transmit pulse trains and receive pulse weights. The design of DRCWs is formulated to maximize the SNR under several Doppler null point constraints. It turns out to be a two-way partitioning problem, and is approximately solved by semidefinite programming relaxation and randomization techniques. The design of DRQCWs is a spectrum shaping problem with a low modulus variation constraint. A suboptimal solution can be efficiently computed via FFT under the Majorization-Minimization framework. Our methods can generate DRCW/DRQCWs with multiple range sidelobe blanking areas at arbitrary Doppler shifts and acceptable decreases in the SNR and Doppler resolution. Based on those properties, a novel waveform emission scheme for cognitive radar is proposed, which shows great promise in many applications like detecting small-RCS and low-speed targets.
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