More results on orthogonal wavelets with optimum time-frequency resolution

Joel M. Morris; Vinod Akunuri; Hui Xie

doi:10.1117/12.205426

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6 April 1995 More results on orthogonal wavelets with optimum time-frequency resolution

Joel M. Morris; Vinod Akunuri; Hui Xie

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Proceedings Volume 2491, Wavelet Applications II; (1995) https://doi.org/10.1117/12.205426
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

Abstract

Signal decomposition techniques are an important tool for analyzing nonstationary signals. The proper selection of time-frequency basis functions for the decomposition is essential to a variety of signal processing applications. The discrete wavelet transform (DWT) is increasingly being used for signal analysis, but not until recently has attention been paid to the time-frequency resolution property of wavelets. This paper describes additional results on our procedure to design wavelets with better time-frequency resolution. In particular, our optimal duration-bandwidth product wavelets (ODBW) have better duration-bandwidth product, as a function of wavelet-defining filter length N, than Daubechies' minimum phase and least- asymmetric wavelets, and Dorize and Villemoes' optimum wavelets over the range N equals 8 to 64. Some examples and comparisons with these traditional wavelets are presented.

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Joel M. Morris, Vinod Akunuri, and Hui Xie "More results on orthogonal wavelets with optimum time-frequency resolution", Proc. SPIE 2491, Wavelet Applications II, (6 April 1995); https://doi.org/10.1117/12.205426