CHARACTERIZATIONS OF A CLASS OF ORTHOGONAL MULTIPLE VECTOR-VALUED WAVELET PACKETS
Jincang Han, Qingjiang Chen · International Journal of Wavelets Multiresolution and Information Processing · 2008
The notion of multiple vector-valued wavelet packets is introduced. A procedure for constructing the multiple vector-valued wavelet packets is presented. Their characteristics are investigated by means of integral transformation and operator theory, and three orthogonality formulas concerning the multiple vector-valued wavelet packets. Finally, new orthogonal bases of L2(R, Cs × s) are constructed from these multiple vector-valued wavelet packets.