零自相关区相位编码波形设计

摘要

本文研究在设定区间具有极低自相关幅值的相位编码波形设计方法，可用于雷达、声呐和通信系统进行干扰抑制和信号同步等。提出了一种基于功率谱逼近的波形设计算法。根据自相关与功率谱的傅立叶变换对关系，将自相关设计指标转换为功率谱设计指标；利用时、频域交替变换投影方法，且在迭代过程中动态构造理想序列功率谱，使设计波形的功率谱逐步逼近理想波形的功率谱，最终实现所期望的波形。与通用的非线性规划相比，该算法无需计算导数，内存消耗小，且迭代过程可由FFT高效实现。%This paper discusses the design of phase coded waveforms with ultra-low autocorrelation sidelobes in desired inter-vals .These waveforms can be used as interference suppression and signal synchronization waveforms for radar ,sonar and communi-cation systems .An algorithm based on power spectral density (PSD ) approximation is proposed .According to the relationship be-tween aperiodic autocorrelation sequence and the waveform PSD ,the autocorrelation design object is translated into a PSD design object .The method transforms and projects the design waveform in the time and the frequency domain iteratively .Thus the PSD of the design waveform approximates the ideal PSD iteratively in order to generate the desired waveform .Compared with the general nonlinear programming methods ,this method is derivative-free ,thus requires less computer memory ,and the iteration can be imple-mented by FFT efficiently .