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Volumn 42, Issue 6 PART 2, 1996, Pages 2238-2241

Bounds on the aliasing error in multidimensional shannon sampling

Author keywords

Aliasing error; Error energy; Multiband; Multidimensional; Poisson summation; Shannon sampling

Indexed keywords


EID: 0842270530     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.556614     Document Type: Article
Times cited : (5)

References (14)
  • 1
    • 0001069518 scopus 로고
    • Sampling and reconstruction of wave-number-limited functions in N-dimensional Euclidean spaces
    • D. P. Petersen and D. Middleton, "Sampling and reconstruction of wave-number-limited functions in N-dimensional Euclidean spaces," Inform. Contr., vol. 5, pp. 279-323, 1962.
    • (1962) Inform. Contr. , vol.5 , pp. 279-323
    • Petersen, D.P.1    Middleton, D.2
  • 2
    • 0017558676 scopus 로고
    • The Shannon sampling theorem - Its various extensions and applications: A tutorial review
    • Nov.
    • A. J. Jerry, "The Shannon sampling theorem - Its various extensions and applications: A tutorial review," Proc. IEEE, vol. 65, no. 11, pp. 1565-1596, Nov. 1977.
    • (1977) Proc. IEEE , vol.65 , Issue.11 , pp. 1565-1596
    • Jerry, A.J.1
  • 3
    • 84968515233 scopus 로고
    • Five short stories about the cardinal series
    • J. R. Higgins, "Five short stories about the cardinal series," Bull. Amer. Math. Soc., vol. 12, no. 1, pp. 45-89, 1985.
    • (1985) Bull. Amer. Math. Soc. , vol.12 , Issue.1 , pp. 45-89
    • Higgins, J.R.1
  • 4
    • 33744625744 scopus 로고
    • An estimate of the error arising from misapplication of the sampling theorem
    • 10.351, Abstract 601-54
    • P. Weiss, "An estimate of the error arising from misapplication of the sampling theorem," Amer. Math. Soc. Notices, no. 10.351, Abstract 601-54, 1963.
    • (1963) Amer. Math. Soc. Notices
    • Weiss, P.1
  • 5
    • 0002900223 scopus 로고
    • On the error in reconstructing a nonbandlimited function by means of the bandpass sampling theorem
    • Erratum," ibid, vol. 21, p. 699, 1968.
    • J. L. Brown, Jr., "On the error in reconstructing a nonbandlimited function by means of the bandpass sampling theorem," J. Math. Anal. Appl., vol. 18, pp. 75-84, 1967; " Erratum," ibid, vol. 21, p. 699, 1968.
    • (1967) J. Math. Anal. Appl. , vol.18 , pp. 75-84
    • Brown Jr., J.L.1
  • 6
    • 0026838009 scopus 로고
    • Sampling theory for not necessarily bandlimited functions: A historical overview
    • Mar.
    • P. L. Butzer and R. L. Stens, "Sampling theory for not necessarily bandlimited functions: A historical overview," SIAM Rev., vol. 34, no. 1, pp. 40-53, Mar. 1992.
    • (1992) SIAM Rev. , vol.34 , Issue.1 , pp. 40-53
    • Butzer, P.L.1    Stens, R.L.2
  • 7
    • 0010599916 scopus 로고
    • Aliasing and Poisson summation in the sampling theory of Paley-Wiener spaces
    • M. G. Beaty and J. R. Higgins, "Aliasing and Poisson summation in the sampling theory of Paley-Wiener spaces," Fourier Analysis and Appl., vol. 1, no. 1, pp. 67-85, 1994.
    • (1994) Fourier Analysis and Appl. , vol.1 , Issue.1 , pp. 67-85
    • Beaty, M.G.1    Higgins, J.R.2
  • 8
    • 21244480110 scopus 로고
    • A multidimensional sampling theorem
    • R. T. Prosser, "A multidimensional sampling theorem," J. Math. Anal. Appl., vol. 16, pp. 574-584, 1966.
    • (1966) J. Math. Anal. Appl. , vol.16 , pp. 574-584
    • Prosser, R.T.1
  • 9
    • 0020180443 scopus 로고
    • Sampling approximation of continuous functions with multidimensional domain
    • Sept.
    • W. Splettstösser, "Sampling approximation of continuous functions with multidimensional domain," IEEE Trans. Inform. Theory, vol. IT-28, no. 5, pp. 809-814, Sept. 1982.
    • (1982) IEEE Trans. Inform. Theory , vol.IT-28 , Issue.5 , pp. 809-814
    • Splettstösser, W.1
  • 10
    • 33747338169 scopus 로고
    • Sampling of functions bandlimited to thin spherical shells
    • J. R. Higgins, "Sampling of functions bandlimited to thin spherical shells," Func. Analysis Appl., 1991.
    • (1991) Func. Analysis Appl.
    • Higgins, J.R.1
  • 12
    • 0017512527 scopus 로고
    • Progress is the Soviet Union on the theory and applications of bandlimited functions
    • July
    • Y. I. Khurgin and V. P. Yakovlev, "Progress is the Soviet Union on the theory and applications of bandlimited functions," Proc. IEEE, vol. 65, no. 7, pp. 1005-1029, July 1977.
    • (1977) Proc. IEEE , vol.65 , Issue.7 , pp. 1005-1029
    • Khurgin, Y.I.1    Yakovlev, V.P.2
  • 13
    • 0002850312 scopus 로고
    • Sampling theorem in abstract harmonic analysis
    • I. Kluvánek, "Sampling theorem in abstract harmonic analysis," Mat.-Fyz. Časopis Sloven. Akad. Vied, vol. 15, pp. 43-48, 1965.
    • (1965) Mat.-Fyz. Časopis Sloven. Akad. Vied , vol.15 , pp. 43-48
    • Kluvánek, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.