1 April 2003 Karhunen-Loeve expansion of stationary random signals with exponentially oscillating covariance function
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Optical Engineering, 42(4), (2003). doi:10.1117/1.1558089
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.
Vitaly Kober, Josue Alvarez-Borrego, "Karhunen-Loeve expansion of stationary random signals with exponentially oscillating covariance function," Optical Engineering 42(4), (1 April 2003). http://dx.doi.org/10.1117/1.1558089
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KEYWORDS
Image processing

Optical engineering

Computer simulations

Differential equations

Electronic filtering

Signal detection

Signal processing

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