关键词: 多输入多输出雷达, 代数方法, 波形设计, 自相关函数, 互相关函数, 本原多项式

Abstract:

For the problems of complex computation and low efficiency of the traditional numerical optimization method in the designing orthogonal phase coding signal for the MIMO radar, a method based on algebraic theory is proposed. Firstly, the inverse reduction-multiplication method to find the polynomials which are used to design the sequence families is used; then the sequence families can be generated by solving the linear recurrence equations via some linear shift registers, whose character polynomials are exactly the ones obtained in the first step; finally, the signal code sets are obtained by mapping the sequence families. Simulation results demonstrate that the autocorrelation peak side lobe level and the crosscorrelation peak level of the designed code sets are low, and the modulus of the signals is constant. Compared with the numerical optimization method, the number of sequences of the sets in this paper is large enough, and especially, the efficiency of generating the code sets is greatly improved.

Key words: multiple input multiple output radar, algebraic method, waveform design, autocorrelation, crosscorrelation, primitive polynomial