Multidimensional Orthonormal Two-direction Wavelet Packet with Dilation Matrix
Mao Yi-bo · Chongqing Shifan Daxue xuebao. Ziran kexue ban · 2013
The main purpose of this paper is to generalize orthonormal two-direction wavelet packet to multidimensional case φan+λ(t)=∑k∈Zdp+k,λφn(At-k)+p-k,λφn(k-At),with matrix dilation factor A.By means of orthogonality of wavelet packet basis functions,this paper investigates properties,decomposition and reconsruction algorithm and frequency domain representation ∏∞ j=1Pλjω ajΦ0(0) of multidimensional orthonormal two-direction wavelet packet {φan+λ(t),λ=0,1,…,a-1}n∈Z+with dilation matrix A in time and frequency domain.