Karhunen-Loeve basis synthesis for great-capacity signal performance in optical processors

Alexandr G. Chumakov; Vitalij N. Kurashov

doi:10.1117/12.165404

10 December 1993 Karhunen-Loeve basis synthesis for great-capacity signal performance in optical processors

Alexandr G. Chumakov, Vitalij N. Kurashov

Proceedings Volume 2108, International Conference on Holography, Correlation Optics, and Recording Materials; (1993) https://doi.org/10.1117/12.165404
Event: Holography, Correlation Optics, and Recording Materials, 1993, Chernivsti, Ukraine

Abstract

This paper describes in detail the effective procedure for Karhunen-Loeve basis synthesis, offered by the authors for statistical ensembles, permitting a limited size teaching set. Unlike the classical Karhunen-Loeve procedure, the main factor, restricting its application and determining the number of required calculations for basis formation, is not the dimension of the encoding signal itself but the number of elements in the input basic set. This allows us to apply this procedure to the objects of grate capacity (up to 10⁶ - 10⁸ counts), that is usual for optical processed signals. Examples of effective real signal coding are given.

Citation Download Citation

Alexandr G. Chumakov and Vitalij N. Kurashov "Karhunen-Loeve basis synthesis for great-capacity signal performance in optical processors", Proc. SPIE 2108, International Conference on Holography, Correlation Optics, and Recording Materials, (10 December 1993); https://doi.org/10.1117/12.165404

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