Optimum duration discrete-time wavelets

Joel M. Morris; Ravindra Peravali

doi:10.1117/1.601244

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.

Citation Download Citation

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

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