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Published in:
2002 | OriginalPaper | Chapter
Wavelet Orthonormal Expansions
Author : Pierre Brémaud
Published in: Mathematical Principles of Signal Processing
Publisher: Springer New York
Included in: Professional Book Archive
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The wavelet analysis of Chapter D2 is continuous, in that the original function of L2 is reconstructed as an integral, not as a sum. One would rather store the original function not as a function of two arguments, but as the doubly indexed sequence of coefficients of a decomposition along an orthonormal base of L2. Multiresolution analysis is one particular way of obtaining such orthonormal bases.