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Optical Engineering

Optimum duration discrete-time wavelets
Author(s): Joel M. Morris; Ravindra Peravali
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Paper Abstract

We present a class of discrete-time orthonormal wavelets that are optimized with respect to time duration. The global optimization is achieved via an adaptive simulated annealing (ASA) approach, and the objective function is the average time duration over all scales of the wavelet as defined by the levels of the corresponding binary, treestructured, filter bank structure. We present and discuss the algorithm for generating these optimum wavelets; present the defining filter coefficients {g(n)} for filter lengths of N= 8, 10, 12, 14, 16, 18, 24, and 32; and provide comparisons with Daubechies’ discrete wavelets and other discrete and discrete-time wavelets optimized to other measures based on duration and bandwidth.

Paper Details

Date Published: 1 April 1997
PDF: 8 pages
Opt. Eng. 36(4) doi: 10.1117/1.601244
Published in: Optical Engineering Volume 36, Issue 4
Show Author Affiliations
Joel M. Morris, Univ. of Maryland/Baltimore County (United States)
Ravindra Peravali, Univ. of Maryland/Baltimore (United States)

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