Design symmetric orthogonal multi-band multi-dimensional filter bank using Grbner basis
WU Qing-he · Jisuanji yingyong yanjiu · 2009
This paper studied the problem of design multi-band multi-dimensioal filter banks.Using the concept of Grbner basis and the algorithms of syzygy module in computing algebra,presented the symmetry-orthogonality approach for the polyphase matrix of multi-band multi-dimensional filter banks.Moreover,achieved the expression of multi-scale function,which was used to construct multi-wavelets by multidimensional filter banks.Constructed the 4-band two-dimensional wavelets using 4-band two-dimensional filter banks.