Explicit solution of the eigenvalue integral with exponentially oscillating covariance function

Vitaly Kober; Josué Alvarez-Borrego

doi:10.1117/12.452374

21 November 2002 Explicit solution of the eigenvalue integral with exponentially oscillating covariance function

Proceedings Volume 4790, Applications of Digital Image Processing XXV; (2002) https://doi.org/10.1117/12.452374
Event: International Symposium on Optical Science and Technology, 2002, Seattle, WA, United States

Abstract

The Karhunen-Loeve transform based on calculation of the eigenvalues and eigenfunctions of the Karhunen-Loeve integral equation is known to have certain properties which 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.

Citation Download Citation

Vitaly Kober and Josué Alvarez-Borrego "Explicit solution of the eigenvalue integral with exponentially oscillating covariance function", Proc. SPIE 4790, Applications of Digital Image Processing XXV, (21 November 2002); https://doi.org/10.1117/12.452374

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