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
APA
Chicago
ICMJE
MLA
NLM
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.
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