Mean level signal crossing rate for an arbitrary stochastic process

Publication: Research - peer-reviewJournal article – Annual report year: 2010

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The issue of the mean signal level crossing rate for various probability density functions with primary relevance for optics is discussed based on a new analytical method. This method relies on a unique transformation that transforms the probability distribution under investigation into a normal probability distribution, for which the distribution of mean level crossings is known. In general, the analytical results for the mean level crossing rate are supported and confirmed by numerical simulations. In particular, we illustrate the present method by presenting analytic expressions for the mean level crossing rate for various probability distributions, including ones that previously were unavailable, such as the uniform, the so-called gamma-gamma, and the Rice–Nakagami distribution. However, in a limited number of cases the present results differ somewhat from the result reported in the literature. At present, this discrepancy remains unexplained and is laid open for future discussion.
Original languageEnglish
JournalOptical Society of America. Journal A: Optics, Image Science, and Vision
Publication date2010
Volume27
Issue4
Pages797-807
ISSN1084-7529
DOIs
StatePublished

Bibliographical note

This paper was published in Optical Society of America. Journal A and is made available as an electronic reprint with the permission of OSA. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

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