Croatica Chemica Acta, Vol. 68 No. 1, 1995.
Original scientific paper
Time Localization Techniques for Wavelet Transforms
Mladen Victor Wickerhauser
; Department of Mathematics, Washington University St. Louis Missouri 63130 USA
Abstract
We consider the following pair of problems related to orthonormal compactly supported wavelet expansions: (1) Given a wavelet coefficient with its nominal scale and position indices, find the precise location of the transient signal feature which produced it; (2) Given two collections of wavelet coefficients, determine whether they arise from a periodic signal and its translate, and if so find the translation which maps one into the other. Both problems may be solved by traditional means after inverting the wavelet transform, but we propose two alternative algorithms which rely solely onthe wavelet coefficients themselves.
Keywords
Hrčak ID:
176541
URI
Publication date:
1.2.1995.
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