An Algebraic Approach to M-band Wavelets Construction.
Tony X. Lin, Qingyun Shi, Pengwei Hao · SIP · 2003
This paper presents an algebraic approach to construct Mband 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.