基于二阶锥规划的跳频脉冲信号旁瓣抑制方法研究

摘要

针对准随机跳频脉冲信号旁瓣抑制问题,本文提出了一种基于二阶锥规划的最优旁瓣抑制滤波器设计方法.首先,在推导信噪比损失的基础上,根据实际应用特点给出最优失配处理准则,即信噪比损失给定上限条件下实现最大旁瓣最小.接着,将失配滤波器的设计问题转化为二阶锥规划的对偶问题.最后,通过原始-对偶内点算法实现二阶锥规划问题的求解,进而得到失配滤波器的系数,从而实现恒增益损失下的旁瓣抑制.%An optimal mismatched filter design method,based on the second order cone programming (SOCP), is proposed for the suppression of sidelobes of the quasi- step frequency waveform. On the basis of derivation of the SNR loss expression, practical application consideration is given to the optimal mismatched processing criteria. A conditioned Min-Max criterion is developed, I.e.,to minimize the maximum sidelobe level with an upper limitation of SNR loss.The optimal mismatched filter design problem is then converted to the dual problem in SOCP. The filter coefficients are obtained by using efficient primal-dual interior-point method for solving SOCP.Thus,sidelobes suppression with constant loss in process gain is implemented.