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Proceedings Paper

Modified wavelets that accommodate causality
Author(s): Harold H. Szu; Brian A. Telfer; Adolf W. Lohmann
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Paper Abstract

The Wavelet Transform (WT) employs nonsinusoidal bases of compact support. The basis sets gab(t) equals g((t-b)/a)(root)a are called daughter wavelets, which are constructed from a mother wavelet g(t) by means of the dilation operation with parameters a and the translation operation with parameter b. Normally, the mother wavelet g(t) is required to be an even function with (integral) 0INFdfG(f)2/f<(infinity) , to guarantee that the basis set is complete. We show that the mother wavelet can be causal instead of even and still guarantee completeness. This allows mother wavelets to be selected that better match causal input signals. A parallel optical WT architecture is sketched.

Paper Details

Date Published: 1 October 1992
PDF: 7 pages
Proc. SPIE 1705, Visual Information Processing, (1 October 1992); doi: 10.1117/12.138463
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)


Published in SPIE Proceedings Vol. 1705:
Visual Information Processing
Friedrich O. Huck; Richard D. Juday, Editor(s)

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