The existing joint design methods of transmit waveform and receive filter for MIMO radar do not take into account the non-linear characteristics of radio frequency amplifier and the imprecise information about the target in practical applications. For these problems, a robust joint design of transmit waveform and receive filter for MIMO radar in presence of clutter with the power constraint of each element and the Peak-to-Average-power Ratio (PAR) constraint of transmit waveform from each element is proposed. The novel scheme sets an optimization model of MIMO radar’s output Signal-to-Interference-plus-Noise Ratio (SINR) within the uncertainty of target’s steering vector via Max-Min method. As for the resulting non-convex joint optimization problem, Semi-Definite Relaxation (SDR), Charnes-Cooper transformation, sequential optimization, and Lagrange dual theorem are adopted to converse the non-convex original problem into two convex Semi-Definite Programming (SDP) sub-problems, which are concerned about the covariance matrix of transmit space-time code and receive space-time filter, respectively. The final transmit waveform and receive filter can be obtained by randomization method. The efficiency and robustness of the proposed algorithm are verified by the simulation results.
王玉玺,黄国策,李伟,刘剑. 杂波条件下稳健的MIMO雷达发射波形和接收滤波器联合优化设计[J]. 电子与信息学报, 2017, 39(8): 1879-1886.
WANG Yuxi, HUANG Guoce, LI Wei, LIU Jian. Robust Joint Design of Transmit Waveform and Receive Filter for MIMO Radar in Presence of Clutter. JEIT, 2017, 39(8): 1879-1886.
HAIMOVICH A M, BLUM R S, LENARD J, et al. MIMO radar with widely separated antennas[J]. IEEE Signal Processing Magazine, 2008, 25(1): 116-129. doi: 10.1109/ MSP.2008.4408448.
[2]
LI J and STOICA P. MIMO radar with collocated antennas[J]. IEEE Signal Processing Magazine, 2007, 24(5): 106-114. doi: 10.1109/MSP.2007.904812.
[3]
BEKKERMAN I and TABRIKIAN J. Target detection and localization using MIMO radar and sonars[J]. IEEE Transactions on Signal Processing, 2006, 54(10): 116-129. doi: 10.1109/TSP.2006.879267.
[4]
STOCIA P, LI J, and XIE Yao. On probing signal design for MIMO radar[J]. IEEE Transactions on Signal Processing, 2007, 55(8): 4151-4161. doi: 10.1109/TSP.2007.894398.
[5]
PANDEY N and ROY L P. Convex optimization based transmit beampattern synthesis for MIMO radar[J]. Electronics Letters, 2016, 52(2): 150-152. doi: 10.1049/ el.2015.1637.
[6]
GONG P, SHAO Z, TU G, et al. Transmit beampattern design based on convex optimization for MIMO radar systems[J]. Signal Processing, 2014, 94: 195-201. doi: 10. 1016/j.sigpro.2013.06.021.
[7]
XU H, BLUM R S, WANG J, et al. Colocated MIMO radar waveform design for transmit beampattern formation[J]. IEEE Transactions on Aerospace and Electronic Systems, 2015, 51(2): 1558-1568. doi: 10.1109/TAES.2014.140249.
[8]
STOCIA P, LI J, and ZHU X. Waveform synthesis for diversity-based transmit beampattern design[J]. IEEE Transactions on Signal Processing, 2008, 56(6): 2593-2598. doi: 10.1109/TSP.2007.916139.
[9]
AHMED S and ALOUINI M S. MIMO radar transmit beampattern design without synthesising the covariance matrix[J]. IEEE Transactions on Signal Processing, 2014, 62(9): 2278-2289. doi: 10.1109/TSP.2014.2310435.
HUANG Zhongrui, SHAN Liang, CHEN Mingjian, et al. A new method for the design of transmit waveform of MIMO radar[J]. Journal of Electronics & Information Technology, 2016, 38(5): 1026-1033. doi: 10.11999/JEIT150758.
[11]
LIU J, LI H, and HIMED B. Joint optimization of transmit and receive beamforming in active arrays[J]. IEEE Signal Processing Letters, 2014,21(1): 39-42. doi: 10.1109/LSP.2013. 2289325.
[12]
SEYYED M K, MAJTABA R, MOHAMMAD M N, et al. Design of multiple-input-multiple-output transmit waveform and receive filter for extended target detection[J]. IET Radar, Sonar and Navigation, 2015, 9(9): 1345-1353. doi: 10.1049/ iet-rsn.2015.0063.
[13]
SADJAD I and SEYED A G. Transmit signal and receive filter design in co-located MIMO radar using a transmit weighting matrix[J]. IEEE Signal Processing Letters, 2015, 22(10): 1521-1524. doi: 10.1109/LSP.2015.2411676.
[14]
TANG B and TANG J. Joint design of transmit waveforms and receive filters for MIMO radar space time adaptive processing[J]. IEEE Transactions on Signal Processing, 2016, 64(18): 4707-4722. doi: 10.1109/TSP.2016.2569431.
[15]
CUI G, LI H, and RANGASWAMY M. MIMO radar waveform design with constant modulus and similarity constraints[J]. IEEE Transactions on Signal Processing, 2014, 62(2): 343-353. doi:10.1109/TSP.2013.2288086.
[16]
DE MAIO A, HUANG Y, PIEZZO M, et al. Design of optimized radar codes with a peak to average power ratio constraint[J]. IEEE Transactions on Signal Processing, 2011, 59(6): 2683-2697. doi:10.1109/TSP.2011.2128313.
[17]
SEYYED M K, AUGUSTO A, ANTONIO D M, et al. Robust transmit code and receive filter design for extended targets in clutter[J]. IEEE Transactions on Signal Processing, 2015, 63(8): 1965-1976. doi: 10.1109/TSP.2015.2404301.
[18]
TANG B, LI J, ZHANG Y, et al. Design of MIMO radar waveform covariance matrix for clutter and jamming suppression based on space time adaptive processing[J]. Signal Processing, 2016, 121: 60-69. doi: 10.1016/j.sigpro. 2015.10.033.
[19]
ZHU W and TANG J. Robust design of transmit waveform and receive filter for colocated MIMO radar[J]. IEEE Signal Processing Letters, 2015, 22(11): 2112-2116. doi: 10.1109/ LSP.2015.2461460.
[20]
LUO Z Q, MA W K, SO A C, et al. Semidefinite relaxation of quadratic optimization problems[J]. IEEE Signal Processing Magazine, 2010, 27(3): 20-34. doi:10.1109/MSP.2010.936019.
[21]
CHARNES A and COOPER W W. Programming with linear fractional functionals[J]. Naval Research Logistics Quarterly, 1962, 9(3): 181-186. doi: 10.1002/nav.3800090303.
