An Algebraic Approach to M-band Wavelets Construction

T. Lin, Q. Shi, and P. Hao (PRC)


Wavelet transforms, M-band wavelets, algebraic approach, vanishing moments


This paper presents an algebraic approach to construct M band orthogonal wavelet bases. A system of constraint equations is obtained for M-band orthonormal filters, and then a solution based on SVD (Singular Value Decomposition) is developed to enable us to produce innumerable wavelet bases of given length. Also the property of 2 vanishing moments is integrated into our wavelet construction process, which provides another way to compute 2-regular M-band filter banks.

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