On construction of multivariate Parseval wavelet frames

M. Skopina

Applied Mathematics and Computation, 2017, vol. 301, issue C, 1-11

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.

Keywords: Wavelet frame; Matrix dilation; Approximation order; Vanishing moments (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:301:y:2017:i:c:p:1-11

DOI: 10.1016/j.amc.2016.12.013

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