Analytical calculation methods for eigenfunctions and eigenvalues of Karhunen-Loeve transformations

Y. A. Pokrovsky; E. A. Makaretsky; A. V. Polynkin

doi:10.1117/12.262582

27 December 1996 Analytical calculation methods for eigenfunctions and eigenvalues of Karhunen-Loeve transformations

Y. A. Pokrovsky, E. A. Makaretsky, A. V. Polynkin

Proceedings Volume 2969, Second International Conference on Optical Information Processing; (1996) https://doi.org/10.1117/12.262582
Event: Second International Conference on Optical Information Processing, 1996, St. Petersburg, Russian Federation

Abstract

The analytical calculation methods for Karhunen-Loeve transformation eigenfunctions and eigenvalues with various forms of covariance image or noise-disturbance functions are developed on the basis of physical and mathematical models of resonant angular filtering theory. Eigenfunctions and eigenvalues are designed for some instances. The comparative analysis of derived solutions and known ones is carried out, on the basis of which is judged about eigenfunctions mathematical model incorrectness comprised in certain works.

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Y. A. Pokrovsky, E. A. Makaretsky, and A. V. Polynkin "Analytical calculation methods for eigenfunctions and eigenvalues of Karhunen-Loeve transformations", Proc. SPIE 2969, Second International Conference on Optical Information Processing, (27 December 1996); https://doi.org/10.1117/12.262582

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