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On construction of multivariate Parseval wavelet frames

Author

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  • Skopina, M.

Abstract

A new method for the construction of compactly supported Parseval wavelet frames in L2(Rd) with any preassigned approximation order n for arbitrary matrix dilation M is proposed. The number of wavelet functions generating a frame constructed in this way is less or equal to (d+1)|detM|−d. The method is algorithmic, and the algorithm is simple to use. The number of generating wavelet functions can be reduced to |detM| for a large class of matrices M.

Suggested Citation

  • Skopina, M., 2017. "On construction of multivariate Parseval wavelet frames," Applied Mathematics and Computation, Elsevier, vol. 301(C), pages 1-11.
    • Handle: RePEc:eee:apmaco:v:301:y:2017:i:c:p:1-11
    DOI: 10.1016/j.amc.2016.12.013
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    Cited by:

    1. San Antolín, A. & Zalik, R.A., 2018. "Compactly supported Parseval framelets with symmetry associated to Ed(2)(Z) matrices," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 179-190.

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