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

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.

Citation Download Citation

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

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