An Algorithm and Characteristics Concerning a Sort of Orthogonal Ternary Matrix-Valued Frame Wavelet Packs
In this work, the notion of matrix-valued multiresolution analysis of space L2(Rn, Cs×s) is introduced. A method for constructing orthogonal matrix-valued ternary wavelet packs is developed and their properties are discussed by means of time-frequency analysis method, matrix theory and functional analysis method. Three orthogonality formulas concerning these wavelet packets are provided. Finally, new orthonormal wavelet pack bases of space L2(Rn, Cs×s) are obtained by constructing a series of subspaces of orthogonal matrix-valued wavelet packets.
Helen Zhang, Gang Shen and David Jin
H. L. Guo and R. Q. Wang, "An Algorithm and Characteristics Concerning a Sort of Orthogonal Ternary Matrix-Valued Frame Wavelet Packs", Advanced Materials Research, Vols. 204-210, pp. 2225-2228, 2011