Biorthogonal Vector-valued Multivariable Multiwavelet Packets with an Integer-valued Dilation Factor
Zhengxing Cheng · Journal of Zhengzhou University · 2012
The definition of the biorthogonal vector-valued multivariate multiwavelet packets was given and vector-valued multiresolution analysis was introduced.A procedure for construction was presented.The properties for the biorthogonal multiple vector-valued multivariate wavelet packets were investigated by virtue of iterative algorithms and operator theory.Biorthogonality formulas concerning these wavelet packets were formulated.Finally,a new basis of L2(Rs,Cn)was constructed by using the biorthogonal multiple vector-valued multivariate wavelet packets.