基于谱逼近的瞬态极化雷达最优波形设计

针对瞬态极化雷达(IPR)两路极化波形相关度较高而导致的目标极化参数估计误差大的问题，该文提出纯相位谱逼近算法(POSAA)来设计具有低相关水平的波形对。首先，以积分旁瓣电平准则构建目标函数；然后利用相关与谱的傅里叶变换对关系，基于谱逼近的思想，推导了目标函数的频域表示；最后获得目标函数的梯度和Hess矩阵，并采用信赖域方法优化求解目标函数以获得理想波形。仿真结果表明优化后的波形对具有极低的相关水平，且利用该优化波形获得的目标参数误差远小于当前常见波形。

Optimal Waveform Design for Instantaneous Polarization Radar via Spectral Approximation

To reduce estimation error caused by high correlation level of two transmitted waveforms, a novel method is proposed to design a couple of waveforms with low correlation level, named Phase Only Spectral Approximation Algorithm (POSAA). Firstly, the object function is constructed under the rule of minimizing the integrated sidelobe level. Secondly, the object function is derived in frequency domain based on spectral approximation, according to the relationship between correlation sequences and the power spectral density of waveforms. Finally, the object function is optimized by trust region algorithm using its gradient and Hessian matrix. The numerical simulations have demonstrated that the designed waveforms posses a good correlation level, and the error of received target polarization information using this waveform is much less than others.