MIMO雷达中基于Hadamard矩阵的低复杂度正交多相码设计方法

为了降低MIMO雷达中正交多相码设计的复杂度，提高收敛性能，提出了一种基于Hadamard矩阵的低复杂度正交多相码设计方法。该方法首先利用Hadamard矩阵构造相位自由度以及处理复杂度都较为适中的八相码信号，给出相应的证明，并从中选取初始码序列，使其具备一定的正交性；然后采用循环算法进行两步迭代，将代价函数的计算转换为FFT和IFFT运算，克服了因频繁计算代价函数带来的高复杂度问题。性能分析结果表明，和原有算法相比，该方法能够在保持信号良好自相关和互相关特性的同时，有效降低计算复杂度，提高收敛速度。 

Low Complexity Algorithm for Designing Orthogonal Polyphase Code Based on Hadamard Matrix in MIMO Radar

A low complexity algorithm for designing orthogonal polyphase code based on Hadamard matrix was proposed to decrease the complexity and improve convergence performance of MIMO radar polyphase code design. The algorithm used Hadamard matrix to construct eight-phase code which had a better compromise of phase freedom and processing complexity firstly, the corresponding proofs were presented. Initial code sequences with a certain orthogonality were chosen from them. Then a cyclic algorithm was used as two-step iteration, the cost function computation can convert to FFT and IFFT. By this way, the high complexity caused by computing cost function frequently was overcame. Performance analysis and simulation results indicate that comparing to the existing algorithms, the proposed algorithm can decrease computing complexity and improve the convergence speed effectively, meanwhile it can preserve good autocorrelation and cross-correlation features.