Wavelets, their autocorrelation functions, and multiresolution representations of signals
Gregory Beylkin, Naoki Saito · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1992
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.