Additive algebra for signal and image processing

V. S. Vykhovanets

doi:10.1117/12.612058

21 February 2005 Additive algebra for signal and image processing

V. S. Vykhovanets

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Proceedings Volume 5822, Information Technologies 2004; (2005) https://doi.org/10.1117/12.612058
Event: Information Technologies 2004, 2004, Chisinau, Moldova

Abstract

A signal (image) processing and wavelet transform based on a representation over additive algebra is discussed. This system can be used for syntheses various spectral representations of digital readouts of a signal. Theorem of spectral decomposition is formulated. The given theorem allows constructing spectral functions for various implementations. Examples of the digital signal processing and wavelet transform are given.

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V. S. Vykhovanets, V. S. Vykhovanets, } "Additive algebra for signal and image processing", Proc. SPIE 5822, Information Technologies 2004, (21 February 2005); doi: 10.1117/12.612058; https://doi.org/10.1117/12.612058

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