Jun Li, Na Liu



MIMO Radar Orthogonal Polyphase Code waveforms Design Based on Sequential Quadratic Programming

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Orthogonal polyphase code is one of the most important waveforms for MIMO radar. In this paper, the sequential quadratic programming (SQP) method is used to design orthogonal polyphase code. The object is to obtain the waveforms not only with low autocorrelation sidelobe levels and low cross-correlation levels, but also with low integrated output (the summation of the outputs of all matched-filters in MIMO radar) sidelobe level, since it is the direct factor that affects the radar target detection. Phase quantization is applied to facilitate the waveform generating in practical radar system. Simulation results verify the validity and practicability of the method, and the effects of the optimization weighting coefficients and the number of quantization bits are discussed.


Orthogonal polyphase code, sequential quadratic programming (SQP), auto-correlation sidelobe, cross-correlation, integrated output, phase quantization, waveform design, MIMO radar


[1] D. J. Rabideau. Adaptive MIMO radar waveforms[C]. in Proc. IEEE Radar Conference, Rome, 2008, 1-6

[2] C. Y. Chen, P. P. Vaidyanathan. MIMO radar waveform optimization with prior information of the extended target and clutter[J]. IEEE Transactions on Signal Processing, 2009, 57(9): 3533-3544 0 5 10 -20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 x average Iapsl/dB 0 5 10 -20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 x average Ipccl/dB 0 5 10 -20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 x average Ispsl/dB 0.8 1 1.2 1.4 1.6 1.8 2 2.2 -25 -24 -23 -22 -21 -20 -19 -18 -17 -16 -15 λ2 average correlation sidelob peaks/dB average Iapsl average Ipccl average Ispsl B APSL/dB CPL/dB IPSL/dB APSL CPL IPSL B B

[3] K. W. Forsythe, D. W. Bliss. MIMO radar waveform constraints for GMTI[J]. IEEE Journal of Selected Topics in Signal Processing, 2010, 4(1): 21-32

[4] Chen Yifan et al. Adaptive Distributed MIMO Radar Waveform Optimization Based on Mutual Information. IEEE Trans. on Aerospace and Electronics Systems. 2013, 49(2): 1374- 1385.

[5] H. Deng. Polyphase code design for orthogonal netted radar systems[J]. IEEE Transactions on Signal Processing, 2004, 52(11): 3126-3135

[6] Bo Liu, Zishu He, JianKuiZeng, Benyong Liu. Polyphase Orthogonal Code Design for MIMO Radar Systems. CIE '06. International Conference on Radar, Oct. 2006, 1:113-116

[7] Sun Ying, Zishu He, Hongming Liu, Li Jun, Shangwei Gao. Binary orthogonal code design for MIMO radar systems[J]. IEEE 2010 interational symposium on intelligent signal processing and communication

[8] Kevin J G. Generation of uniform amplitude complex code sets with low correlation sidelobes[J]. IEEE Trans. on Signal Processing, 1992,40(2):343-351

[9] Liangbing Hu,Hongwei Liu,Shunjun Wu. Orthogonal waveform design for MIMO radar via constrained nonlinear programming. Systems Engineering and Electronics , 2011,Vol. 33, No. 1:64-68

[10] Nocedal,J. And S.J.Wright. Numerical Optimization, Second Edition. Springer Series in Operations Research, Springer Verlag,2006. 33, No. 1:64-68

Cite this paper

Jun Li, Na Liu. (2017) MIMO Radar Orthogonal Polyphase Code waveforms Design Based on Sequential Quadratic Programming. International Journal of Signal Processing, 2, 178-182


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