Design Linear-Phase Perfect Reconstruction Multidimensional Filter Bank Using Groebner Basis
Qinghe Wu · Microelectronics & Computer · 2007
To design linear-phase perfect reconstruction two-dimensional filter bank,according to its condition for linear phase and condition for perfect reconstruction,the Polyphase matrix of analysis and synthesis 2D filter banks are designed by using the Groebner basis algorithm of algebra,and the parameterization of filter banks is obtained. By application wavelets theory,a symmetry 2D wavelets is constructed. The results show that this Groebner basis method is valid,and it is more easy than others.