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本文介绍一种在通用数字计算机上产生同时具有规定的振幅概率分布和功率谱的伪随机序列的方法,即FFT-CT方法。先用FFT方法得到有完全合乎要求的谱特性的伪随机序列作为参考序列,然后用相关传递法(CT法)使具有给定振幅分布的基础序列具有与参考序列相同的谱特性。本文分析了FFT-CT方法的性能与序列样点数的关系,还给出了几个模拟有一定振幅分布和谱特性的噪声过程的实例。
This article presents a method for generating a pseudo-random sequence with a specified probability distribution of amplitude and power spectrum at the same time on a general-purpose digital computer, namely the FFT-CT method. Firstly, a pseudo-random sequence with completely satisfactory spectral characteristics is obtained by using the FFT method as a reference sequence, and then the correlation transmission method (CT method) is used to make the basic sequence with a given amplitude distribution have the same spectral characteristics as the reference sequence. This paper analyzes the relationship between the performance of the FFT-CT method and the number of sequence samples, and gives examples of how to simulate a noise process with a certain amplitude distribution and spectral characteristics.