非高斯随机过程、信号和噪声的矩量和累积量描述分析

V. M. Artyushenko, V. I. Volovach
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引用次数: 3

摘要

回顾和分析了与非高斯随机过程的矩量和累积量描述有关的问题。证明了如果非高斯随机过程由矩量函数和累积量函数给出,则假定该过程是完全给定的。研究了非高斯随机过程的谱特性。结果表明,较高的谱密度只存在于非高斯随机过程中。
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Analysis of Moment and Cumulant Description of non-Gaussian Random Processes, Signals and Noise
Reviewed and analyzed the issues linked with the moment and cumulant description of non-Gaussian random processes. It is shown that if non-Gaussian random processes are given by both moment and cumulant functions, it is assumed that such processes are completely given. The spectral characteristics of non-Gaussian random processes are considered. It is shown that higher spectral densities exist only for non-Gaussian random processes.
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