Order of accuracy analysis for multiresolution time-domain using daubechies bases

Narayan Kovvali; Wenbin Lin; Lawrence Carin

doi:10.1002/mop.20798

Order of accuracy analysis for multiresolution time-domain using daubechies bases

Narayan Kovvali, Wenbin Lin, Lawrence Carin

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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 2N. 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.

Original language	English (US)
Pages (from-to)	290-293
Number of pages	4
Journal	Microwave and Optical Technology Letters
Volume	45
Issue number	4
DOIs	https://doi.org/10.1002/mop.20798
State	Published - May 20 2005
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2021-02-09

Access to Document

10.1002/mop.20798

Cite this

@article{cf37a24c13384aaf809a4fbd5291c2b8,

title = "Order of accuracy analysis for multiresolution time-domain using daubechies bases",

abstract = "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 2N. 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. {\textcopyright} 2005 Wiley Periodicals, Inc.",

author = "Narayan Kovvali and Wenbin Lin and Lawrence Carin",

note = "Generated from Scopus record by KAUST IRTS on 2021-02-09",

year = "2005",

month = may,

day = "20",

doi = "10.1002/mop.20798",

language = "English (US)",

volume = "45",

pages = "290--293",

journal = "Microwave and Optical Technology Letters",

issn = "0895-2477",

publisher = "John Wiley & Sons Inc.",

number = "4",

}

TY - JOUR

T1 - Order of accuracy analysis for multiresolution time-domain using daubechies bases

AU - Kovvali, Narayan

AU - Lin, Wenbin

AU - Carin, Lawrence

N1 - Generated from Scopus record by KAUST IRTS on 2021-02-09

PY - 2005/5/20

Y1 - 2005/5/20

N2 - 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 2N. 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.

AB - 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 2N. 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.

UR - http://doi.wiley.com/10.1002/mop.20798

UR - http://www.scopus.com/inward/record.url?scp=19944424517&partnerID=8YFLogxK

U2 - 10.1002/mop.20798

DO - 10.1002/mop.20798

M3 - Article

SN - 0895-2477

VL - 45

SP - 290

EP - 293

JO - Microwave and Optical Technology Letters

JF - Microwave and Optical Technology Letters

IS - 4

ER -

Order of accuracy analysis for multiresolution time-domain using daubechies bases

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this