The matrix extension for the construction of biorthogonal trivariate wavelets
Peng Jia-long · Basic Sciences Journal of Textile Universities · 2009
The matrix extension method for the construction of filter banks of multiwavelets is generalized.An explicit formula for constructing filter banks of a class of biorthogonal trivariate wavelets is presented by virtue of interpolatory functions,lifting scheme and polyphase matrix decomposition.The properties regarding these wavelet packets are characterized,and two biorthogonality formulas concerning the wavelet packets are obtained.