基于凸优化方法的认知雷达波形设计

针对认知雷达扩展目标检测的问题,提出了一种与目标散射特性相关的相位编码信号设计方法,利用半正定松弛将输出信噪比的优化问题松弛为一个凸优化问题,并利用一维交互迭代搜索逼近原问题的全局最优解。该方法具有收敛速度块、运算量小等优点,能够准确逼近全局最优解。

Radar Phase-coded Waveform Design for Extended Target Detection by Convex Optimization

In this paper,an efficient algorithm to solve the problem of radar phase-coded waveform design for extended target detection in cognitive radar is proposed.By using the semidefinite relaxation(SDR) technique,the non-convex signal-to-noise ratio (SNR) optimization problem is relaxed to a convex optimization problem.The approximate solution is acquired by solving the relaxed problem,and a one dimensional alternating maximization algorithm is applied to approach the optimal solution.The proposed algorithm is attractive in computational complexity,and can achieve accurate approximation.Simulation results show that the ability of finding the global optimal solution is greatly enhanced by the proposed algorithm compared to other techniques.