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Direct algorithm for computation of derivatives of the Daubechies basis functions

Publication ,  Journal Article
Lin, W; Kovvali, N; Carin, L
Published in: Applied Mathematics and Computation
November 15, 2005

We extend the direct algorithm for computing the derivatives of the compactly supported Daubechies N-vanishing-moment basis functions. The method yields exact values at dyadic rationals for the nth derivative (0 ≤ n ≤ N - 1) of the basis functions, when it exists. Example results are shown for the first derivatives of the basis functions from the Daubechies N-vanishing-moment extremal phase orthonormal family (for N = 3, 4, and 5), and the CDF(2, N) spline-based biorthogonal family (for N = 6, 8, and 10). © 2005 Elsevier Inc. All rights reserved.

Duke Scholars

Published In

Applied Mathematics and Computation

DOI

ISSN

0096-3003

Publication Date

November 15, 2005

Volume

170

Issue

2

Start / End Page

1006 / 1013

Related Subject Headings

  • Numerical & Computational Mathematics
  • 4903 Numerical and computational mathematics
  • 4901 Applied mathematics
  • 0802 Computation Theory and Mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
 

Citation

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Lin, W., Kovvali, N., & Carin, L. (2005). Direct algorithm for computation of derivatives of the Daubechies basis functions. Applied Mathematics and Computation, 170(2), 1006–1013. https://doi.org/10.1016/j.amc.2004.12.038
Lin, W., N. Kovvali, and L. Carin. “Direct algorithm for computation of derivatives of the Daubechies basis functions.” Applied Mathematics and Computation 170, no. 2 (November 15, 2005): 1006–13. https://doi.org/10.1016/j.amc.2004.12.038.
Lin W, Kovvali N, Carin L. Direct algorithm for computation of derivatives of the Daubechies basis functions. Applied Mathematics and Computation. 2005 Nov 15;170(2):1006–13.
Lin, W., et al. “Direct algorithm for computation of derivatives of the Daubechies basis functions.” Applied Mathematics and Computation, vol. 170, no. 2, Nov. 2005, pp. 1006–13. Scopus, doi:10.1016/j.amc.2004.12.038.
Lin W, Kovvali N, Carin L. Direct algorithm for computation of derivatives of the Daubechies basis functions. Applied Mathematics and Computation. 2005 Nov 15;170(2):1006–1013.
Journal cover image

Published In

Applied Mathematics and Computation

DOI

ISSN

0096-3003

Publication Date

November 15, 2005

Volume

170

Issue

2

Start / End Page

1006 / 1013

Related Subject Headings

  • Numerical & Computational Mathematics
  • 4903 Numerical and computational mathematics
  • 4901 Applied mathematics
  • 0802 Computation Theory and Mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics