Time localization techniques for wavelet transforms

Mladen Victor Wickerhauser

doi:10.1117/12.191886

25 October 1994 Time localization techniques for wavelet transforms

Mladen Victor Wickerhauser

Proceedings Volume 2277, Automatic Systems for the Identification and Inspection of Humans; (1994) https://doi.org/10.1117/12.191886
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

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 on the wavelet coefficients themselves.

Citation Download Citation

Mladen Victor Wickerhauser "Time localization techniques for wavelet transforms", Proc. SPIE 2277, Automatic Systems for the Identification and Inspection of Humans, (25 October 1994); https://doi.org/10.1117/12.191886

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