Waveform Design Algorithm for PRI-PSK Discrete Composite Encoded Pulse Train
Addressing the challenge of designing pulse trains with excellent ambiguity function and detection performance,this study introduces inter-pulse discrete pulse repetition interval encoding and intra-pulse discrete phase encoding for the PRI-PSK dis-crete composite encoding pulse train problem.By analyzing the ambiguity function of the pulse train,an optimization model for PRI-PSK discrete composite encoding pulse train waveform is established,with the minimization of the integrated side lobes of the ambiguity function as the optimization objective.In terms of optimization,a KKT-ADMM algorithm is constructed based on the Ka-rush-Kuhn-Tucker(KKT)optimality conditions and the alternating direction method of multipliers(ADMM)framework to optimize the PRI-PSK discrete composite encoding pulse train waveform.Simulation results demonstrate that the proposed algorithm signifi-cantly reduces the integrated side lobe levels of the range and velocity ambiguity functions,thereby effectively improving the overall performance of the pulse train waveform.Additionally,the designed waveform exhibits good resistance to forward interference com-pared to conventional encoding signals in terms of forward interference suppression.
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