Wavelets and adaptive signal processing

Howard L. Resnikoff

doi:10.1117/12.49792

1 December 1991 Wavelets and adaptive signal processing

Howard L. Resnikoff

Proceedings Volume 1565, Adaptive Signal Processing; (1991) https://doi.org/10.1117/12.49792
Event: San Diego, '91, 1991, San Diego, CA, United States

Abstract

Compactly supported wavelet bases are sets of compactly supported functions that are orthonormal bases for a wide variety of function spaces, including signals that have finite energy or finite power. This article places the theory of compactly supported wavelets in its historical context. Wavelet matrices and wavelet functions of one and two variables are defined. The continuous, discrete, and finite wavelet transforms are contrasted with the corresponding Fourier transforms. A multirate digital filter interpretation is provided and adaptive trees of wavelet filters are described.

Citation Download Citation

Howard L. Resnikoff "Wavelets and adaptive signal processing", Proc. SPIE 1565, Adaptive Signal Processing, (1 December 1991); https://doi.org/10.1117/12.49792

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