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Proceedings Paper

Composite fractional power wavelets
Author(s): Jason M. Kinser
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Paper Abstract

Wavelets have a tremendous ability to extract signals from noisy environments. However, the use of wavelets can be computationally expensive. The number of computations increases with the size of the wavelet family. Here a wavelet family is combined into a single complex-valued signal that can then be used to extract information form an input signal. The advantage is that the expense of computation is that of a single correlation rather than the several correlations required by the wavelet family. This new filter is constructed using a phase-encoded fractional power filter and offers the user the option of manipulating the trade-off generalization and discrimination that is inherent in first-order filtering. The result is a computationally cheaper method of using wavelets to detect signals embedded in noise.

Paper Details

Date Published: 5 April 2000
PDF: 7 pages
Proc. SPIE 4056, Wavelet Applications VII, (5 April 2000); doi: 10.1117/12.381703
Show Author Affiliations
Jason M. Kinser, George Mason Univ. (United States)

Published in SPIE Proceedings Vol. 4056:
Wavelet Applications VII
Harold H. Szu; Martin Vetterli; William J. Campbell; James R. Buss, Editor(s)

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