The Description for Properties of Biorthogonal Vector-Valued Wavelet Packets with Six-Scale Factor
In this work, we introduce a class of vector-valued wavelet packets with six-scale dilation factor for vector-valued higher dimensional function space. The definition of biorthogonal vector-valued mul dimensional wavelet packets is proposed and their biorthogonality properties are investigated by vi...
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| Format: | Tagungsbericht |
| Sprache: | eng |
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| Zusammenfassung: | In this work, we introduce a class of vector-valued wavelet packets with six-scale dilation factor for vector-valued higher dimensional function space. The definition of biorthogonal vector-valued mul dimensional wavelet packets is proposed and their biorthogonality properties are investigated by virtue of matrix theory, time-frequency analysis method, and operator theory. Three biorthogonality formulas regarding these wavelet packets are established. Moreover, it is shown how to gain new Riesz bases of space L 2 (R u , C v ) from these wavelet packets. |
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| DOI: | 10.1109/IC4E.2010.142 |