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Optical Engineering

Karhunen-Loeve expansion of stationary random signals with exponentially oscillating covariance function
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Paper Abstract

The Karhunen-Loeve expansion based on the calculation of the eigenvalues and eigenfunctions of the Karhunen-Loeve integral equation is known to have certain properties that make it optimal for many signal detection and filtering applications. We propose an analytical solution of the equation for a practical case when the covariance function of a stationary process is exponentially oscillating. Computer simulation results using a real aerial image are provided and discussed.

Paper Details

Date Published: 1 April 2003
PDF: 6 pages
Opt. Eng. 42(4) doi: 10.1117/1.1558089
Published in: Optical Engineering Volume 42, Issue 4
Show Author Affiliations
Vitaly Kober, CICESE (United States)
Josue Alvarez-Borrego, CICESE (United States)

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