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Generalized orthogonal multiwavelet packets

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  • Sun, Lei
  • Li, Gang

Abstract

In this paper, the definition, construction and properties of generalized orthogonal multiwavelet packets are given based on orthogonal multiwavelet packets. By the choices of multifilter banks satisfying perfect reconstruction conditions, we can construct a lot of generalized orthogonal multiwavelet packets and generalize the known results.

Suggested Citation

  • Sun, Lei & Li, Gang, 2009. "Generalized orthogonal multiwavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2420-2424.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:4:p:2420-2424
    DOI: 10.1016/j.chaos.2009.03.111
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    References listed on IDEAS

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    1. El Naschie, M.S., 2006. "Hilbert, Fock and Cantorian spaces in the quantum two-slit gedanken experiment," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 39-42.
    2. Han, Jincang & Cheng, Zhengxing & Chen, Qingjiang, 2009. "A study of biorthogonal multiple vector-valued wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1574-1587.
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    4. El Naschie, M.S., 2005. "A guide to the mathematics of E-infinity Cantorian spacetime theory," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 955-964.
    5. Chen, Qingjiang & Shi, Zhi, 2008. "Biorthogonal multiple vector-valued multivariate wavelet packets associated with a dilation matrix," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 323-332.
    6. Chen, Qingjiang & Shi, Zhi, 2008. "Construction and properties of orthogonal matrix-valued wavelets and wavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 75-86.
    Full references (including those not matched with items on IDEAS)

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