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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。
In this paper, the knowledge of stationary stochastic process points is introduced, a non-uniform sampling sequence model of generalized stationary random signal is established and a general formula of its digital spectrum is deduced. It is revealed that the traditional spectral analysis does not consider the influence of nonuniformity of sampling time interval on signal Statistical characteristics of the error, mistakenly sampled random intensity sequence of the power spectrum as a smooth random process of non-uniform sampling signal power spectrum. In this paper, we analyzed several random sampling cases with typical distribution function and proved that the digital spectrum of uniformly sampled signal is only a special case of non-uniformly sampled digital spectrum.