平稳信号的非均匀采样与仿真

Analysis and Simulation of Stationary Signal

文中引入平稳随机过程点的知识,建立了广义平稳随机信号的非均匀采样序列模型,推导了其数字频谱的一般公式,揭示出了传统的谱分析没有考虑采样时间间隔的非均匀性对信号的统计特性的影响,误把采样所得随机强度序列的功率谱当作平稳随机过程非均匀采样信号的功率谱。文中分析了几种具有典型分布函数的随机采样情况,证明了均匀采样信号的数字频谱只是非均匀采样数字频谱的一种特例。

The knowledge of stationary stochastic point processes is described, the model of non-uniformly sampled signal of random processes established, the spectral representation deduced. The traditional spectrum analysis wouldn＇t consider the influence of non uniformity by sampled time interval on statistical characteristics of the signal, mistakes the power spectral density of sampled random intensity sequence as the power spectral density of non-uniformly sampled signal of non-uniformly sampled signal of stationary random processes. This paper discusses some stochastic sampling cases of typical distribution function, which indicate that the digital spectrum of uniformly sampled signal is a special case of the digital spectrum of non-uniformly sampled signal.