本文研究了模糊函数约束下的波形设计方法,针对所设计波形多普勒容忍性差的问题,构造了满足多普勒容忍性和低旁瓣的期望模糊函数,并利用对角加载技术使得相关矩阵保持正定性,将设计波形模糊函数与期望模糊函数的二维差异作为代价函数,使得波形设计问题转化为优化问题,通过循环算法求取恒模优化波形。仿真结果表明,基于本文算法设计的波形在零多普勒旁瓣损失较小的前提下,具有较好的多普勒容忍性和较低的二维旁瓣功率水平,并具有较快的收敛速度。
Waveform design algorithm based on ambiguity functions is researched in this paper. To solve the problem of poor Doppler tolerance,firstly construct the desired ambiguity function which satisfy delay-Doppler performance and low autocorrelation,secondly diagonal loading approach has been used to insure correlation matrix positive definite. The error between the designed ambiguity function and the desired one are used as criterion,the waveform design problem is transform into optimization problem,the unimodular sequences is got by Cyclic Algorithm. Simulation results shows that the proposed method get better delay-Doppler performance and lower two dimension sidelobe power level with weak loss in zeros Doppler sidelobe level,this method with rapid convergence rate.