Notice of RetractionThe character of orthogonal bivariate wavelet packets associated with an integer-valued dilation factor

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.

In this work, the notion of a class of vector-valued bivariate wavelet packets associated with an arbitrary integer-valued dilation matrix is developed. A new method for constructing vector-valued bivariate wavelet packets is proposed. Their characteristics is researched by means of operator theory, time-frequency analysis method and matrix theory. Three orthogonality formulas regarding the wavelet packets are provided. Orthogonality decomposition relation formulas of the space _L²_(R²₎^u are obtained by constructing a series of subspaces of the vector-valued wavelet packets. Furthermore, several orthonormal wavelet packet bases of space _L²_(R²₎^u are drawn from the wavelet packets.