High-pass filters give histograms with positive kurtosis

Eric Clarkson; Harrison H. Barrett

doi:10.1364/OL.26.001253

High-pass filters give histograms with positive kurtosis

Eric Clarkson, Harrison H. Barrett

Research output: Contribution to journal › Article

2 Scopus citations

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 language	English (US)
Pages (from-to)	1253-1255
Number of pages	3
Journal	Optics letters
Volume	26
Issue number	16
DOIs	https://doi.org/10.1364/OL.26.001253
State	Published - Aug 15 2001
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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Clarkson, E., & Barrett, H. H. (2001). High-pass filters give histograms with positive kurtosis. Optics letters, 26(16), 1253-1255. https://doi.org/10.1364/OL.26.001253

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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.",

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