Level dependence of the variance of the number of level-crossing points of a stationary Gaussian process (Corresp.)

The distribution density of the level-crossing interval lengths is experimentally studied for a Gaussian random process having Gaussian power spectrum density. The multi-peak property of the density does not appear for a Gaussian-lowpass spectrum, although it does for a Gaussian-bandpass spectrum. This situation is different from the cases of Butterworth spectra, in which the multi-peak property always appears both for lowpass and bandpass processes. In addition to the disappearance of the multi-peak property, the result of the fluctuation of the number of the crossings leads to a conclusion that a Gaussian process having Gaussian-lowpass spectrum is highly random.

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Level dependence of the variance of the number of level-crossing points of a stationary Gaussian process (Corresp.)

Cited by 4 publications

References 6 publications

Gaussian stochastic processes

Gaussian stochastic processes

A study on the multi-peak properties of the level-crossing intervals of a random process

Level-Crossing Problem of a Gaussian Process Having Gaussian Power Spectrum Density

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