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Proceedings Paper

Fast nondyadic shift-invariant Gabor wavelets
Author(s): David P. Casasent; Rajesh Shenoy
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Paper Abstract

We consider several new applications of wavelet transforms: general time-frequency analysis, detection and range-Doppler processing. These differ from the standard data compression and encoding applications generally considered. We note problems with standard and dyadic wavelet transforms concerning shift-invariance, frequency resolution, detection in noise at high frequencies where the bandwidth of the wavelet subband is large, and in range-Doppler processing. We consider Gabor wavelets and advance a new shift-invariant continuous wavelet filter with only O(N) processing required; we also advance new non-dyadic wavelet filters and an optical implementation for the general use (especially for range-Doppler processing).

Paper Details

Date Published: 6 April 1995
PDF: 12 pages
Proc. SPIE 2491, Wavelet Applications II, (6 April 1995); doi: 10.1117/12.205403
Show Author Affiliations
David P. Casasent, Carnegie Mellon Univ. (United States)
Rajesh Shenoy, Carnegie Mellon Univ. (United States)


Published in SPIE Proceedings Vol. 2491:
Wavelet Applications II
Harold H. Szu, Editor(s)

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