Discrete Orthonormal Wavelets

摘要

A clear relation exists between the theory of orthonormal wavelet bases and exactreconstruction subband filter banks in signal processing. A set of wavelets consists of functions that are dilated and shifted versions of a certain basic function. A considerable amount of theory has been developed on orthonormal and non-orthonormal wavelet bases for the space of continuous-time, square-integrable, functions. The report is concerned with the construction of discrete orthonormal wavelet bases, which are orthonormal wavelet bases for the space of discrete-time, square-summable, functions. (Copyright (c) 1991 by the Faculty of Technical Mathematics and Informatics, Delft, The Netherlands.)