Construction of filter banks of biorthogonal multivariate wavelets
Zhi Shi · Journal of Hubei University · 2009
The matrix extension problem of filters of biorthogonal multivariate wavelets is investigated.When one of a pair of biorthogonal multivariate sealing functions given is an interpolatory one,explicit formulas for constructing filter of the corresponding biorthogonal multivariate wavelets are presented by virtue of the lifting scheme and polyphase matrix decomposition.Their properties of biorthogonal multivariate wavelet packets are characterized,and two biorthogonality formula concerning the wavelet packets are obtained.