The Orthogonality Character of Matrix Univariate Wavelet Packets Concerning an Integer Factor
The notion of matrix-valued multiresolution analysis. A procedure for designing orthogonal matrix-valued univariate wavelet packets is presented and their orthogonality properties are discussed by means of time-frequency analysis method, matrix theory and functional analysis method. Three orthogonality formulas concerning these wavelet packets are obtained. Finally, one new orthonormal basis of are obtained by constructing a series of subspaces of orthogonal matrix-valued wavelet packets.
J. C. Han and Y. Li, "The Orthogonality Character of Matrix Univariate Wavelet Packets Concerning an Integer Factor ", Key Engineering Materials, Vols. 439-440, pp. 1147-1152, 2010