一种相位编码信号和失配滤波器联合优化方法

针对相位编码信号和失配滤波器分开优化输出的距离旁瓣电平仍然过高的问题，提出了一种恒定主瓣宽度的相位编码信号和失配滤波器联合优化方法．首先，在给定发射信号持续时间和需要的距离分辨率的条件下，给出了恒定主瓣宽度的相位编码信号和失配滤波器联合优化准则；然后，基于罚函数法和p范数理论，将带约束并且非光滑的优化问题进行转化；最后，使用最小p范数算法进行求解．仿真实验表明，在给定发射信号持续时间和需要的距离分辨率的条件下，与分开优化方法相比，该联合优化方法输出的峰值旁瓣电平分别可以降低10.72dB和4.77dB．

Joint optimization of the phase coded waveform and mismatched filter

For the high range sidelobes of the output of separately optimizing the phase coded waveform and mismatched filter, a joint optimization method for the phase coded waveform with the constant mainlobe width (PCW-CMW) and mismatched filter is proposed. First, given the duration time of the transmit waveform and a needed range resolution, a criterion of jointly optimizing the PCW-CMW and mismatched filter is proposed. Then, based on a penalty method and the theory of p-norm, we reformulate the constraint and non-smooth optimization problem as an unconstraint and smooth optimization one. Finally, we use a least-pth algorithm to address it. Numerical results indicate that under the given duration time of the transmit waveform and keeping a constant range resolution, the peak sidelobe level of the joint optimization method can be decreased by 10.72dB and 4.77dB, respectively, compared with the separate design methods of the PCW and mismatched filter.