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On construction of multivariate Parseval wavelet frames. / Skopina, M.

In: Applied Mathematics and Computation, Vol. 301, 15.05.2017, p. 1-11.

Research output: Contribution to journal › Article › peer-review

Harvard

Skopina, M 2017, 'On construction of multivariate Parseval wavelet frames', Applied Mathematics and Computation, vol. 301, pp. 1-11. https://doi.org/10.1016/j.amc.2016.12.013

APA

Skopina, M. (2017). On construction of multivariate Parseval wavelet frames. Applied Mathematics and Computation, 301, 1-11. https://doi.org/10.1016/j.amc.2016.12.013

Vancouver

Skopina M. On construction of multivariate Parseval wavelet frames. Applied Mathematics and Computation. 2017 May 15;301:1-11. https://doi.org/10.1016/j.amc.2016.12.013

Author

Skopina, M. / On construction of multivariate Parseval wavelet frames. In: Applied Mathematics and Computation. 2017 ; Vol. 301. pp. 1-11.

BibTeX

@article{ed494e4609544e77817795c477a0039c,
title = "On construction of multivariate Parseval wavelet frames",
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 = "Approximation order, Matrix dilation, Vanishing moments, Wavelet frame",
author = "M. Skopina",
year = "2017",
month = may,
day = "15",
doi = "10.1016/j.amc.2016.12.013",
language = "English",
volume = "301",
pages = "1--11",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On construction of multivariate Parseval wavelet frames

AU - Skopina, M.

PY - 2017/5/15

Y1 - 2017/5/15

N2 - 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.

AB - 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.

KW - Approximation order

KW - Matrix dilation

KW - Vanishing moments

KW - Wavelet frame

UR - http://www.scopus.com/inward/record.url?scp=85007093259&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2016.12.013

DO - 10.1016/j.amc.2016.12.013

M3 - Article

AN - SCOPUS:85007093259

VL - 301

SP - 1

EP - 11

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

ER -

ID: 36025606