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The dyadic multi-resolution analysis (MRA) has a drawback, that is, there is frequency distortion in the high frequency subband, and frequency distortion is happened more serious in the process of decomposition of the dyadic wavelet packet transform. This paper presents a contribution to the 3/2 wavelet packet transform. The new algorithm includes: the method of decimation; the structure of signal...
In this article, the notion of orthogonal nonseparable four-dimensional wavelet packets, which is the generalization of orthogonal univariate wavelet packets, is introduced. A new approach for constructing them is presented by iteration method. The orthogonality properties of four-dimensional wavelet packets are discussed. Three orthogonality formulas concerning these wavelet packets are established.
In this paper, by virtue of the methods which comes from intersecting and combining differential geometry with wavelet theory, and this method belong to us. We extend the two-direction multiresolution and the two-direction Mallat Algorithm to the theory on the special differential manifold - compact Lie group, our work lay a foundation for the further study wavelet theory on compact Lie group.
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