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Wavelets and Filter Banks Gilbert Strang, Truong Nguyen
Publisher: Wellesley College

Short filters with vanishing-moment properties, useful for the construction of self-inverting rational wavelet frames, can be constructed by solving a polynomial-matrix spectral factorization11 problem. Application to sub band coding - Wavelet transform and filter bank implementation of wavelet expansion of signals. This block uses a series of highpass and lowpass FIR filters to repeatedly divide the input frequency range. The fPCG signal is decomposed to the 3 levels of newly developed 'fetal' wavelet with the analysis filter bank. TOTAL: 45 PERIODS REFERENCES: 1. Название: Wavelets and filter banks Автор: Strang G. In summary, we can construct overcomplete discrete WTs based on rational dilation factors that are efficiently implemented with FIR digital filter banks, easily invertible, designed according to vanishing-moment and regularity conditions, and approximately shift invariant. Издательство Wellesley-Cambridge Press Дата выпуска: 1995 Страниц: 440 Формат: djvu Размер: 7.6 Mb Язык: английский Описани. Finally, the text discusses Fourier transform and wavelet theory on the real line. Almost all practically useful discrete wavelet transforms use discrete-time filterbanks. It is the first book to cover the topics of digital filter banks, multidimensional multirate systems, and wavelet representations under one cover. These filter banks are called the wavelet and scaling coefficients in wavelets nomenclature.