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Proceedings Paper

Intrinsic wavelet and frame applications
Author(s): John J. Benedetto; Travis D. Andrews
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Paper Abstract

There are intrinsic wavelet applications, by which we mean mathematical modeling of a physical phenomenon in which wavelet theory is the most natural quantitative means of explaining the phenomenon. This is not the same as the invaluable use of dyadic wavelets, say, as a tool with which to zoom-in or -out with regard to multi-scale phenomena. An example of an intrinsic wavelet application is wavelet auditory modeling (WAM). WAM is analyzed herein, and a natural excursion, one of many possibilities, is taken from WAM to applications of finite frames. This path includes the role of the Discrete Fourier Transform (DFT) in WAM, the emergence of DFT frames, and their use in analyzing Σ▵ quantization, which itself is a staple in audio engineering as well as in a host of other applications.

Paper Details

Date Published: 12 May 2011
PDF: 13 pages
Proc. SPIE 8058, Independent Component Analyses, Wavelets, Neural Networks, Biosystems, and Nanoengineering IX, 805802 (12 May 2011); doi: 10.1117/12.889119
Show Author Affiliations
John J. Benedetto, Univ. of Maryland, College Park (United States)
Travis D. Andrews, Univ. of Maryland, College Park (United States)


Published in SPIE Proceedings Vol. 8058:
Independent Component Analyses, Wavelets, Neural Networks, Biosystems, and Nanoengineering IX
Harold Szu, Editor(s)

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