宽带认知雷达低峰均比波形快速设计算法

Efficient design algorithm of low PAR waveform for wideband cognitive radar

发射波形设计是宽带认知雷达系统的关键技术。为了提高宽带认知雷达系统对距离扩展目标的检测性能,建立了目标检测模型,分析了系统的检测性能,在此基础之上研究了基于最大输出信干噪比(SINR)的低峰均比(PAR)波形设计算法。通过将原波形优化问题等效为接收权值与低峰均比波形的联合优化问题,同时利用循环优化的思想,提出了一种低峰均比波形快速设计算法。相比于现有的梯度法以及凸优化算法,该算法所设计的恒模波形信干噪比与二者相当,但算法实现难度明显变小,计算复杂度明显降低。仿真结果证实了算法的有效性。

Transmit waveform design is a key technique in wideband cognitive radar. In order to improve the detection per- formance of range spread targets for wideband cognitive radar system, a target detection model is established. Then the de- tection performance associated with the signal model is analyzed. Afterward, the design method of low peak-to-average power ratio （PAR） waveform is studied based on maximizing signal-to-interference-plus-noise ratio （SINR）. In the develop- ment of the proposed algorithm, the original waveform optimization problem is tackled by considering its equivalent form, which is a joint design problem of low PAR waveform and receiving filter. Based on the idea of cyclic optimization, an effi- cient design method for low PAR waveform is proposed. The output SINR of the designed constant envelope waveform is similar to that of the existing gradient descent method and convex optimization method. However, the proposed algorithm is much easier to implement and has considerably lower computational complexity. The effectiveness of the proposed algorithm is verified by the numerical simulations.