Publications [#338932] of Lawrence Carin
Papers Published
- Lin, W; Kovvali, N; Carin, L. "Direct algorithm for computation of derivatives of the Daubechies basis functions." Applied Mathematics and Computation 170.2 (November, 2005): 1006-1013. [038], [doi]
(last updated on 2024/03/28)Abstract:
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.