Fast nondyadic shift-invariant Gabor wavelets

David P. Casasent; Rajesh Shenoy

doi:10.1117/12.205403

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6 April 1995 Fast nondyadic shift-invariant Gabor wavelets

David P. Casasent, Rajesh Shenoy

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Proceedings Volume 2491, Wavelet Applications II; (1995) https://doi.org/10.1117/12.205403
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

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).

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David P. Casasent and Rajesh Shenoy "Fast nondyadic shift-invariant Gabor wavelets", Proc. SPIE 2491, Wavelet Applications II, (6 April 1995); https://doi.org/10.1117/12.205403

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