TY - JOUR
T1 - Direct algorithm for computation of derivatives of the Daubechies basis functions
AU - Lin, Wenbin
AU - Kovvali, Narayan
AU - Carin, Lawrence
N1 - Generated from Scopus record by KAUST IRTS on 2021-02-09
PY - 2005/11/15
Y1 - 2005/11/15
N2 - 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.
AB - 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.
UR - https://linkinghub.elsevier.com/retrieve/pii/S0096300305000421
UR - http://www.scopus.com/inward/record.url?scp=27144547194&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2004.12.038
DO - 10.1016/j.amc.2004.12.038
M3 - Article
SN - 0096-3003
VL - 170
SP - 1006
EP - 1013
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 2
ER -