1 September 1992 Causal analytical wavelet transform
Author Affiliations +
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.
Harold H. Szu, Harold H. Szu, Brian A. Telfer, Brian A. Telfer, Adolf W. Lohmann, Adolf W. Lohmann, } "Causal analytical wavelet transform," Optical Engineering 31(9), (1 September 1992). https://doi.org/10.1117/12.59911 . Submission:
JOURNAL ARTICLE
5 PAGES


SHARE
RELATED CONTENT

Modified wavelets that accommodate causality
Proceedings of SPIE (September 30 1992)
Harmogram feature sets for 1D and 2D data
Proceedings of SPIE (July 16 1998)
Wigner higher-order moment spectra: a review
Proceedings of SPIE (November 29 1992)
Development of a linear time-scale coherence spectrum
Proceedings of SPIE (October 22 1996)

Back to Top