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Zero-crossing characteristics of intrinsinc Mode Functions for fractional Gaussian noise

机译:分数高斯噪声本征模式函数的过零特性

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In this paper the statistical characteristics of zero-crossing intervals (ZCI) and zero-crossing amplitudes (ZCA) (the time interval and the absolute value of extrema between two successive zero-crossings) of Intrinsic Mode Functions (IMF) extracted by Empirical Mode Decomposition (EMD) of fractional Gaussian noise (fGn) are studied. The probability distribution functions of ZCIs and ZCAs are obtained via extensive simulations and the results are provided. An analytical approach to the distribution function of ZCA's are also discussed. It is shown that the ZCI and ZCA distributions of the signal provides usefull information about the type of the analyzed noise.
机译:本文通过经验模式提取了固有模式函数(IMF)的过零间隔(ZCI)和过零幅度(ZCA)(时间间隔和两个连续零交叉之间的极值的绝对值)的统计特性研究了分数高斯噪声(fGn)的分解(EMD)。通过广泛的仿真获得了ZCI和ZCA的概率分布函数,并提供了结果。还讨论了ZCA分布函数的解析方法。结果表明,信号的ZCI和ZCA分布提供了有关分析噪声类型的有用信息。

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