Wavelets and Multiscale Signal Processing

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Focusing on the theory and application of wavelets and multiscale methods, this book delves into their significance in mathematical analysis, numerical analysis, and signal processing. It explores the relationship between filter banks and wavelet decompositions, emphasizing multiresolution analysis with rigorous proofs. Key topics include the properties of orthogonal and biorthogonal filter banks, the importance of wavelet regularity for algorithms, and multiscale decomposition in stochastic processing, particularly in signal and image processing.