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Order of accuracy analysis for multiresolution time‐domain using Daubechies bases
Author(s) -
Kovvali Narayan,
Lin Wenbin,
Carin Lawrence
Publication year - 2005
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.20798
Subject(s) - biorthogonal system , orthonormal basis , scaling , basis function , order (exchange) , multiresolution analysis , mathematics , basis (linear algebra) , time domain , algorithm , mathematical analysis , computer science , wavelet , physics , geometry , artificial intelligence , wavelet transform , discrete wavelet transform , finance , quantum mechanics , economics , computer vision
In this paper, the spatial order of accuracy of multiresolution time‐domain methods using basis functions from the Daubechies family are studied. It is observed that MRTD methods using scaling functions from the Daubechies N ‐vanishing‐moment orthonormal family have a spatial order of accuracy equal to 2 N . For MRTD methods using scaling functions from the CDF (2, N 2 ) biorthogonal family, the spatial order of accuracy is 2 + N 2 . We also find that the order of accuracy is the same for both staggered and nonstaggered spatial grids. The simulation results are presented which confirm analytical predictions. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 45: 290–293, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20798