High-pass filters give histograms with positive kurtosis

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

If we filter an ensemble of natural images with a high-pass filter, the output is a random variable. The probability density for this variable will, under fairly general assumptions, be a Gaussian scale mixture. The kurtosis for this type of distribution is always positive.

Original languageEnglish (US)
Pages (from-to)1253-1255
Number of pages3
JournalOptics Letters
Volume26
Issue number16
StatePublished - Aug 15 2001
Externally publishedYes

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high pass filters
kurtosis
random variables
histograms
filters
output

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

High-pass filters give histograms with positive kurtosis. / Clarkson, Eric W; Barrett, Harrison H.

In: Optics Letters, Vol. 26, No. 16, 15.08.2001, p. 1253-1255.

Research output: Contribution to journalArticle

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