Wavelet Orthonormal Expansions

Pierre Brémaud ()
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Pierre Brémaud: École Polytechnique Fédérale de Lausanne

Chapter D3 in Mathematical Principles of Signal Processing, 2002, pp 195-215 from Springer

Abstract: Abstract The wavelet analysis of Chapter D2 is continuous, in that the original function of L 2 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 L 2. Multiresolution analysis is one particular way of obtaining such orthonormal bases.

Date: 2002
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DOI: 10.1007/978-1-4757-3669-4_14

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