Wavelets, their autocorrelation functions, and multiresolution representations of signals, (with G. Beylkin), Intelligent Robots and Computer Vision XI: Biological, Neural Net, and 3-D Methods (D. P. Casasent, ed.), Proc. SPIE 1826, pp. 39-50, Nov. 1992, Boston, MA

Abstract

We summarize the properties of the auto-correlation functions of compactly supported wavelets, their connection to iterative interpolation schemes, and the use of these functions for multiresolution analysis of signals. We briefly describe properties of representations using dilations and translations of these autocorrelation functions (the auto-correlation shell) which permit multiresolution analysis of signals.

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