Research On MIMO Radar Waveform Optimization Design And Signal Processing

Waveform design,as an important problem in radar systems,has attracted great attention from researchers.In particular,waveform design plays an extremely important role in multi-input multi-output(MIMO)radar.In general,the waveform design for MIMO radar can be mainly classified into transmit beampattern matching design,orthogonal waveform design,joint design of transmit waveform and receive signal processing technology,waveform design and spectrally compatible waveform design with communication system,etc.Focusing on the waveform design for MIMO radar,this dissertation studies these problems based on the optimization theory.The main contributions and innovations of this dissertation are summarized as follows:(1)Focusing on the problem of transmit beampattern matching design for MIMO radar with the constant modulus constraint,two novel direct approaches to designing the transmit beampattern,i.e.,nonlinear alternating direction method of multipliers(NonlinearADMM)and Double-ADMM,are proposed to improve the matching performance of the designed transmit beampattern and reduce the computational complexity over the existing methods.(2)Aiming at the problem of designing the constant modulus waveform with low correlation sidelobes for MIMO radar,two new methods,i.e.,block coordinate descent(BCD)and Nonlinear-ADMM,are proposed to solve the nonconvex weighted integrated sidelobe level(WISL)minimization problem.Compared with the existing approaches,the proposed methods have lower correlation sidelobes and faster convergence rate.(3)To solve the problem of joint design of transmit waveform and the receive filter for MIMO radar in the presence of signal-dependent interference,a primal-dual algorithm,named as block successive upper bound minimization method of multipliers(BSUM-M),is proposed to tackle the nonconvex output signal-to-interference-plus-noise ratio(SINR)maximization problem with both peak-to-average-power ratio(PAPR)and similarity constraints.Compared to the state-of-the-art,the proposed methods can achieve a superiority in terms of the output SINR and computational complexity.(4)With consideration of the probelm of the spectrally compatible waveform design for MIMO radar in the presence of the multiple targets and signal-dependent interference,an iterative algorithm,named as the minimum variance distortionless response and dual ascent method(MVDR-DAM),is proposed to handle with the joint optimization of transmit waveform and receive filter.Moreover,the convergence and complexity of the proposed algorithm are analyzed.Compared to the counterpart,the proposed methods can realize the spectrally compatible waveform design with a individual signal-to-interference-plusnoise ratio(SINR)and similarity constraints more rapidly.(5)For the problem of designing communication-aware transmit beampattern for MIMO radar,two approximate aprimal-dual algorithms,named as linearized appoximation ADMM(LA-ADMM)and quadratic approximation ADMM(QA-ADMM),are proposed to settle the nonconvex weighted summation of the beampattern integrated sidelobe to mainlobe ratio(ISMR)and waveform energy over the space-frequency bands minimization problem.To understand the proposed algorithms better,their convergence and complexity are discussed.Results show that the proposed algorithms can achieve the spectrally compatible transmit beampattern design with communication systems flexibly.