Efficient computation of densely sampled wavelet transforms

Douglas L. Jones; Richard G. Baraniuk

doi:10.1117/12.49822

1 December 1991 Efficient computation of densely sampled wavelet transforms

Douglas L. Jones, Richard G. Baraniuk

Proceedings Volume 1566, Advanced Signal Processing Algorithms, Architectures, and Implementations II; (1991) https://doi.org/10.1117/12.49822
Event: San Diego, '91, 1991, San Diego, CA, United States

Abstract

An efficient algorithm is presented for computing the continuous wavelet transform and the wideband ambiguity function on a sample grid with uniform time spacing but arbitrary sampling in scale. The method is based on the chirp z-transform and requires the same order of computation as constant-bandwidth analysis techniques, such as the short-time Fourier transform and the narrowband ambiguity function. An alternative spline approximation method which is more efficient when the number of scale samples is large is also described.

Citation Download Citation

Douglas L. Jones and Richard G. Baraniuk "Efficient computation of densely sampled wavelet transforms", Proc. SPIE 1566, Advanced Signal Processing Algorithms, Architectures, and Implementations II, (1 December 1991); https://doi.org/10.1117/12.49822

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