## 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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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.2004.12.038Lin, 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