MIMO Radar Waveform Design for Multipath Exploitation

• Published in: IEEE transactions on signal processing Vol. 69; pp. 5359 - 5371
• Main Authors: Xu, Zhou, Fan, Chongyi, Huang, Xiaotao
• Format: Journal Article
• Language: English
• Published: New York IEEE 2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Computational geometry; Convexity; Exploitation; Filter design (mathematics); Filtering algorithms; Information filters; Interference; Iterative methods; MIMO communication; MIMO radar; minimax; Minimax technique; multipath exploitation; Optimization; Radar equipment; Reflection; Robustness (mathematics); Signal processing algorithms; SINR; Specular reflection; Uncertainty; waveform-filter design; Waveforms; worst case
• ISSN: 1053-587X; 1941-0476
• DOI: 10.1109/TSP.2021.3112042

This paper considers specular reflection multipath exploitation by jointly designing the transmit waveform and receive filter for a colocated multiple-input-multiple-output (MIMO) radar system. The goal is to maximize the output signal-to-interference-pulse-noise ratio (SINR) at the receiver with a constant modulus constraint (CMC) on the transmit waveform. Assuming the multipath information to be known or partially known, we consider the waveform-filter design under two different cases. In the first case, the multipath information is exactly known. We devise Algorithm 1 to optimize the transmit waveform and receive filter alternatively. In the second case, the phase information of multipath reflection is unavailable. Under this situation, the minimax or robust waveform-filter design model is established; i.e., we maximize the worst-case SINR against the phase uncertainties. Algorithm 2 is proposed to solve the corresponding minimax optimization problem through alternating iterations. At each iteration, the closed form of optimal receive filter is derived, and waveform optimization is converted to a convex optimization problem through semi-definite relaxation (SDR). Finally, numerical experiments are carried out to verify the effectiveness of the proposed algorithms. The Results demonstrate the superiority of the designed waveform-filter pair compared with some existing solutions.