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Optical Engineering

Causal analytical wavelet transform
Author(s): Harold H. Szu; Brian A. Telfer; Adolf W. Lohmann
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Paper Abstract

The causal analytical wavelet transform employs exponentially decaying nonsinusoidal wideband transient bases of compact support. The basis set hab(t) = h[(t- b)/a]√a is called daughter wavelets, which are constructed from a causal analytical mother wavelet h(t) by means of the dilation parameter a and the translation parameter b. We show that a causal (i.e., zero valued before signal arrives) and analytical mother wavelet still guarantees completeness. This permits the selection of mother wavelets that better match causal analytical input signals. An optical architecture is described for real-time implementation.

Paper Details

Date Published: 1 September 1992
PDF: 5 pages
Opt. Eng. 31(9) doi: 10.1117/12.59911
Published in: Optical Engineering Volume 31, Issue 9
Show Author Affiliations
Harold H. Szu, Naval Surface Warfare Ctr. (United States)
Brian A. Telfer, Naval Surface Warfare Ctr. (United States)
Adolf W. Lohmann, Univ. Erlangen-Nuernberg (Germany)

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