Notice of RetractionThe description of higher-dimensional matrix wavelet packet bases with respect to a dilation matrix

Notice of Retraction

After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.

The notion of higher-dimensional matrix wavelet packets is proposed. An approach for constructing orthogonal matrix-valued higher-dimensional wavelet packets is developed and their properties are discussed by means of time-frequency analysis method, algebra theory and functional analysis method.Three orthogonality formulas concerning these wavelet packets are established. Finally, one new basis of L²(R^d,C^r×r) is drawn by constructing a series of subspaces of the matrix wavelet packets. one new Riesz basis is obtained as well.