干扰环境下MIMO雷达波形与接收滤波联合优化算法

传统雷达一般采用固定的发射波形，在干扰环境下很难获得最优的目标检测性能。针对这一问题，利用集中式多输入多输出(MIMO)雷达波形分集的优势，提出了一种干扰环境下的MIMO雷达波形与接收滤波联合优化算法。以最大化输出信干噪比为准则，使发射波形满足恒模条件，同时施加波形与具备较好脉压特性雷达波形之间的相似性约束，建立了有限相位发射波形与接收滤波权值的优化模型。然后，在循环迭代的算法框架下，将优化问题分解为2个子优化问题，并分别采用拉格朗日乘子法、半正定松弛技术对子优化问题求解，得到发射波形与接收滤波权值的联合优化结果。仿真结果表明，所提算法较现有方法相比有更高的输出信干噪比，使干扰信号的抑制性能得到改善，同时可兼顾发射波形的脉冲压缩特性。

Joint optimization algorithm of waveform and receiving filter for MIMO radar in the presence of interference

Conventional radar generally uses fixed transmit waveform, which is difficult to obtain optimal target detection performance in the presence of interference. To solve this problem, a joint optimization algorithm of waveform and receiving filter for Multiple-Input Multiple-Output(MIMO) radar is proposed. Firstly, output signal to interference and noise ratio maximization is used as objective function. By setting transmit waveform to satisfy constant modulus constraint, the joint optimization model of waveform and receiving filter is established under a similarity constraint involving a reference radar waveform. Then, under the framework of cyclic iterative algorithm, the joint optimization problem is decomposed into two sub-optimization problems, which are solved by using Lagrange multiplier method and semi-definite relaxation technique respectively. The proposed joint optimization algorithm finally results in transmit waveform and receiving filter weights. Simulation results show that the proposed mehod has higher output signal-to-noise ratio than the existing methods, and achieves better interference suppression performance with an eye to pulse compression property of the transmit waveform.