Search results for: Deyao Song
chapter
In this paper, the notion of orthogonal nonseparable trivariate wavelet packets which is the generalization of orthogonal univariate wavelet packets, is introduced. A new procedure for constructing them is presented. Their orthogonality property is characterized by the filter bank theory and time-frequency analysis. Three orthogonality formulas concerning these wavelet packets are established.
article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear... > 2009 > 41 > 5 > 2226-2233
In this paper, we introduce a class of vector-valued wavelet packets of space L2(R2,Cκ), which are generalizations of multivariate wavelet packets. A procedure for constructing a class of biorthogonal vector-valued wavelet packets in higher dimensions is presented and their biorthogonality properties are characterized by virtue of matrix theory, time–frequency analysis method, and operator theory...
chapter
Wavelet analysis has been developing a widely used mathematical branch for twenty years. In this work, the notion of biorthogonal multiple vector-valued trivariate wavelet packets is introduced. A new feasible method for designing them is presented. Their properties are characterized by using time-frequency analysis method, matrix theory and finite group theory. Three orthogonality formulas are established.
chapter
2009 WRI Global Congress on Intelligent Systems > 2 > 557 - 560
In this paper, the notion of multiresolution analysis for bivariate function space is introduced. The concept of nonseparable biorthogonal bivariate wavelet packets is proposed, which is a generalization of uni-wavelet packets. A procedure for constructing them is presented by using separable variable method. Next, the biorthogonality property of biorthogonal bivariate wavelet packets is characterized...
