Publications [#338932] of Lawrence Carin

Papers Published

1. Lin, W; Kovvali, N; Carin, L, Direct algorithm for computation of derivatives of the Daubechies basis functions, Applied Mathematics and Computation, vol. 170 no. 2 (November, 2005), pp. 1006-1013, Elsevier BV [038], [doi]
   (last updated on 2024/12/31)

   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.

   Keywords:
   Functions;Algorithms;Derivatives;Computer science;Information technology;Wavelet transforms;