The conjugate-gradient nonuniform fast Fourier transform (CG-NUFFT) method for one- and two-dimensional media
A novel method combining the conjugate‐gradient and nonuniform fast Fourier transform (CG–NUFFT) algorithms for solving integral equations in electromagnetics is presented. The CG–NUFFT method has been applied to one‐ and two‐dimensional inhomogeneous media. Numerical results show the advantages of...
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| Vydáno v: | Microwave and optical technology letters Ročník 24; číslo 6; s. 385 - 389 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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New York
John Wiley & Sons, Inc
20.03.2000
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| ISSN: | 0895-2477, 1098-2760 |
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| Abstract | A novel method combining the conjugate‐gradient and nonuniform fast Fourier transform (CG–NUFFT) algorithms for solving integral equations in electromagnetics is presented. The CG–NUFFT method has been applied to one‐ and two‐dimensional inhomogeneous media. Numerical results show the advantages of the CG–NUFFT method over the CG–FFT method for problems with both electrically large and small regions. © 2000 John Wiley & Sons, Inc. Microwave Opt Technol Lett 24: 385–389, 2000. |
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| AbstractList | A novel method combining the conjugate-gradient and nonuniform fast Fourier transform (CG-NUFFT) algorithms for solving integral equations in electromagnetics is presented. The CG-NUFFT method has been applied to one- and two-dimensional inhomogeneous media. Numerical results show the advantages of the CG-NUFFT method over the CG-FFT method for problems with both electrically large and small regions. A novel method combining the conjugate‐gradient and nonuniform fast Fourier transform (CG–NUFFT) algorithms for solving integral equations in electromagnetics is presented. The CG–NUFFT method has been applied to one‐ and two‐dimensional inhomogeneous media. Numerical results show the advantages of the CG–NUFFT method over the CG–FFT method for problems with both electrically large and small regions. © 2000 John Wiley & Sons, Inc. Microwave Opt Technol Lett 24: 385–389, 2000. |
| Author | Xu, Xue Min Liu, Qing Huo |
| Author_xml | – sequence: 1 givenname: Xue Min surname: Xu fullname: Xu, Xue Min organization: Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708 – sequence: 2 givenname: Qing Huo surname: Liu fullname: Liu, Qing Huo organization: Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708 |
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| Cites_doi | 10.1006/acha.1995.1026 10.1049/el:19981372 10.1137/0914081 10.1109/75.650975 |
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| References | G. Beylkin, On the fast Fourier transform of functions with singularities, Appl Computat Harmonic Anal 2 ( 1995), 363-382. A. Dutt and V. Rokhlin, Fast Fourier transforms for nonequispaced data, SIAM J Sci Comput 14 ( 1993), 1368-1393. T.K. Sarkar, Application of conjugate gradient method to electromagnetics and signal analysis, PIER 5, Progress in electromagnetics research, Elsevier, New York, 1991. Q.H. Liu and X.Y. Tang, Iterative algorithm for nonuniform inverse fast Fourier transform (NU-IFFT), Electron Lett 34 ( 1998), 1913-1914. M.F. Catedra, R.P. Torees, J. Basterrechea, and E. Gago, The CG-FFT method: Application of signal processing techniques to electromagnetics, Artech House, Boston, MA, 1995. Q.H. Liu and N. Nguyen, An accurate algorithm for nonuniform fast Fourier transforms, IEEE Microwave Guided Wave Lett 8 ( 1998), 18-20. 1995; 2 1993; 14 1995 1998; 34 1991 1998; 8 Liu (10.1002/(SICI)1098-2760(20000320)24:6<385::AID-MOP8>3.0.CO;2-W-BIB5) 1998; 8 Liu (10.1002/(SICI)1098-2760(20000320)24:6<385::AID-MOP8>3.0.CO;2-W-BIB6) 1998; 34 Sarkar (10.1002/(SICI)1098-2760(20000320)24:6<385::AID-MOP8>3.0.CO;2-W-BIB1) 1991 Dutt (10.1002/(SICI)1098-2760(20000320)24:6<385::AID-MOP8>3.0.CO;2-W-BIB3) 1993; 14 Catedra (10.1002/(SICI)1098-2760(20000320)24:6<385::AID-MOP8>3.0.CO;2-W-BIB2) 1995 Beylkin (10.1002/(SICI)1098-2760(20000320)24:6<385::AID-MOP8>3.0.CO;2-W-BIB4) 1995; 2 |
| References_xml | – reference: A. Dutt and V. Rokhlin, Fast Fourier transforms for nonequispaced data, SIAM J Sci Comput 14 ( 1993), 1368-1393. – reference: Q.H. Liu and X.Y. Tang, Iterative algorithm for nonuniform inverse fast Fourier transform (NU-IFFT), Electron Lett 34 ( 1998), 1913-1914. – reference: G. Beylkin, On the fast Fourier transform of functions with singularities, Appl Computat Harmonic Anal 2 ( 1995), 363-382. – reference: Q.H. Liu and N. Nguyen, An accurate algorithm for nonuniform fast Fourier transforms, IEEE Microwave Guided Wave Lett 8 ( 1998), 18-20. – reference: M.F. Catedra, R.P. Torees, J. Basterrechea, and E. Gago, The CG-FFT method: Application of signal processing techniques to electromagnetics, Artech House, Boston, MA, 1995. – reference: T.K. Sarkar, Application of conjugate gradient method to electromagnetics and signal analysis, PIER 5, Progress in electromagnetics research, Elsevier, New York, 1991. – year: 1991 – year: 1995 – volume: 2 start-page: 363 year: 1995 end-page: 382 article-title: On the fast Fourier transform of functions with singularities publication-title: Appl Computat Harmonic Anal – volume: 8 start-page: 18 year: 1998 end-page: 20 article-title: An accurate algorithm for nonuniform fast Fourier transforms publication-title: IEEE Microwave Guided Wave Lett – volume: 34 start-page: 1913 year: 1998 end-page: 1914 article-title: Iterative algorithm for nonuniform inverse fast Fourier transform (NU–IFFT) publication-title: Electron Lett – volume: 14 start-page: 1368 year: 1993 end-page: 1393 article-title: Fast Fourier transforms for nonequispaced data publication-title: SIAM J Sci Comput – volume: 2 start-page: 363 year: 1995 ident: 10.1002/(SICI)1098-2760(20000320)24:6<385::AID-MOP8>3.0.CO;2-W-BIB4 publication-title: Appl Computat Harmonic Anal doi: 10.1006/acha.1995.1026 – volume-title: Application of conjugate gradient method to electromagnetics and signal analysis, PIER 5 year: 1991 ident: 10.1002/(SICI)1098-2760(20000320)24:6<385::AID-MOP8>3.0.CO;2-W-BIB1 – volume-title: The CG-FFT method: Application of signal processing techniques to electromagnetics year: 1995 ident: 10.1002/(SICI)1098-2760(20000320)24:6<385::AID-MOP8>3.0.CO;2-W-BIB2 – volume: 34 start-page: 1913 year: 1998 ident: 10.1002/(SICI)1098-2760(20000320)24:6<385::AID-MOP8>3.0.CO;2-W-BIB6 publication-title: Electron Lett doi: 10.1049/el:19981372 – volume: 14 start-page: 1368 year: 1993 ident: 10.1002/(SICI)1098-2760(20000320)24:6<385::AID-MOP8>3.0.CO;2-W-BIB3 publication-title: SIAM J Sci Comput doi: 10.1137/0914081 – volume: 8 start-page: 18 year: 1998 ident: 10.1002/(SICI)1098-2760(20000320)24:6<385::AID-MOP8>3.0.CO;2-W-BIB5 publication-title: IEEE Microwave Guided Wave Lett doi: 10.1109/75.650975 |
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| Title | The conjugate-gradient nonuniform fast Fourier transform (CG-NUFFT) method for one- and two-dimensional media |
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