Construction of bi-orthogonal multiwavelet packets with multi-scale
Lei Zhu · Harbin Gongcheng Daxue Xuebao/Journal of Harbin Engineering University · 2006
A method for construction of biorthogonal multiwavelet packets with multi-scale was presented and some good properties of multiwavelet packets,which were parallel to the properties of traditional wavelet packets,were proved in this paper.By introducing the concept of wavelet packets into biorthogonal mltiwavelet packets,the multiscaling biorthogonal multiwavelet packets were constructed.And the Fourier transform of functions was obtained;the biorthogonal relation of two families of functions in biorthogonal multiwavelet packets was pcovided.By constructing biorthogonal multiwavelet packets,two bases of L~2(R) which satisfies biorthogonal relation as well.The method presented is greatly valuable in application.