High-pass filters give histograms with positive kurtosis

Research output: Contribution to journalArticle

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

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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