Optimum duration discrete-time wavelets

Joel M. Morris; Ravindra Peravali

doi:10.1117/1.601244

1 April 1997 Optimum duration discrete-time wavelets

Joel M. Morris, Ravindra Peravali

Optical Engineering, Vol. 36, Issue 4, (April 1997). https://doi.org/10.1117/1.601244

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.

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Joel M. Morris and Ravindra Peravali "Optimum duration discrete-time wavelets," Optical Engineering 36(4), (1 April 1997). https://doi.org/10.1117/1.601244

Published: 1 April 1997

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