Robust joint design of transmit waveform and receive filter for MIMO radar space-time adaptive processing with signal-dependent interferences

• Published in: IET radar, sonar & navigation Vol. 11; no. 8; pp. 1321 - 1332
• Main Authors: Wang, Yuxi, Li, Wei, Sun, Qilu, Huang, Guoce
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 01.08.2017
• Subjects: Charnes‐Cooper transform; computational complexity; concave programming; filtering theory; final transmit waveform; Lagrange duality method; linear computational complexity; MIMO radar; MIMO radar space‐time adaptive processing; MIMO radar space‐time adaptive technology; multiple‐input‐multiple‐output radar transmit waveform; nonconvex robust joint design problem; nonlinear power amplifier; output signal‐to‐interference‐plus‐noise ratio; peak‐to‐average power ratio; power amplifiers; radar antennas; radar detection; radar signal processing; randomisation procedure; receive filter; Research Article; robust joint design; semidefinite relaxation; sequential optimisation procedure; signal‐dependent interferences; slow‐moving target detection performance; space‐time adaptive processing; target Doppler frequency; target steering vector; transmit antenna; transmit power; transmit waveform; transmitting antennas; radar detection; transmitting antennas; radar antennas; target Doppler frequency; Charnes-Cooper transform; final transmit waveform; radar signal processing; transmit antenna; semidefinite relaxation; MIMO radar; slow-moving target detection performance; robust joint design; power amplifiers; target steering vector; output signal-to-interference-plus-noise ratio; concave programming; signal-dependent interferences; transmit power; receive filter; peak-to-average power ratio; space-time adaptive processing; filtering theory; nonconvex robust joint design problem; multiple-input-multiple-output radar transmit waveform; linear computational complexity; randomisation procedure; transmit waveform; nonlinear power amplifier; sequential optimisation procedure; MIMO radar space-time adaptive technology; MIMO radar space-time adaptive processing; Lagrange duality method; computational complexity
• ISSN: 1751-8784; 1751-8792
• DOI: 10.1049/iet-rsn.2016.0514

This study deals with the problem of joint design of multiple-input–multiple-output (MIMO) radar transmit waveform and receive filter in the presence of signal-dependent interferences. To enhance the detection performance of a slow moving target, MIMO radar space-time adaptive technology is adapted. Considering the issue of imprecise knowledge about target's Doppler frequency and direction, the worst-case output signal-to-interference-plus-noise ratio over the uncertainty set of target steering vector is set as figure of merit. Furthermore, due to the non-linear power amplifier and the fact that transmit antenna may be out of work, constraints of peak-to-average power ratio and transmit power for each transmit antenna are taken into account. As to the resulted hard problem, some suitable mathematical transformations are performed and a novel sequential optimisation procedure combined with semi-definite relaxation, Charnes–Cooper transform and Lagrange duality method is developed to tackle the non-convex joint design problem. Randomisation procedure is utilised to synthesise the final transmit waveform and receive filter. The computational complexity is linear with the numbers of iterations and trials of the randomisation. The convergence of the devised algorithm is analysed and numerical results in a variety of scenarios are provided to demonstrate the effectiveness of the proposed algorithm.