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Proceedings Paper

Discrete unitary transforms generated by moving waves
Author(s): Artyom M. Grigoryan; Merughan M. Grigoryan
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Paper Abstract

This paper describes a new class of discrete heap transforms which are unitary energy-preserving transforms and induced by input signals. These transforms have a simple form of composition and fast algorithms for any size of processed signals. We consider the heap transforms, defined by two-dimensional elementary rotations, as satisfying the given decision equations. The main feature of each heap transform is the corresponding system of basis functions, which represent themselves a family of interactive waves which are moving in the field generated by the input signal. Properties and examples of heap transforms, which we also call discrete signal-induced heap transforms, are described in detail.

Paper Details

Date Published: 20 September 2007
PDF: 12 pages
Proc. SPIE 6701, Wavelets XII, 670125 (20 September 2007); doi: 10.1117/12.728383
Show Author Affiliations
Artyom M. Grigoryan, The Univ. of Texas at San Antonio (United States)
Merughan M. Grigoryan, Yerevan State Univ. (Armenia)


Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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