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SAMPLING EXPANSIONS OF BANDLIMITED FUNCTIONS WITH ALTERNATE DERIVATIVE SAMPLING VALUES

신창언|김윤식
장전수학회 (Jangjeon Mathematical Society)|2015.10|Advanced Studies in Contemporary Mathematics|제25권 제4호|pp. 473-485

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참고문헌

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초록

For a bandlimited function f ∈ L2(R) with bandwidth π and a positive integer k we derive a sampling series expansion of f with samples f(kn), f′(kn + α1), ..., f(k−1)(kn + αk−1), n ∈ Z for some constants α1, ..., αk−1.

Abstract

For a bandlimited function f ∈ L2(R) with bandwidth π and a positive integer k we derive a sampling series expansion of f with samples f(kn), f′(kn + α1), ..., f(k−1)(kn + αk−1), n ∈ Z for some constants α1, ..., αk−1.

참고문헌 (10)

  1. P. J. Davis, "Interpolation and Approximation" (1963), Blaisdell Publishing Company
  2. J. R. Higgins, "Sampling Theory in Fourier and Function Analysis: Foundations" (1996), Oxford Science
  3. V. A. Kotel'nikov, "On the transmission capacity of ether and write in electrocommunications", Material for the First All-Union Conference on Questions of Communication (1933)
  4. M. M. Milosavljevic, "On Generalized Stable Nonuniform Sampling Expansions Involving Derivatives", IEEE Trans. Inform. Theory, 43, pp.1714~1716 (1997)
  5. M. D. Rawn, "A Stable Nonuniform Sampling Expansion Involving Derivatives", IEEE Trans. Inform. Theory, 35, pp.1223~1227 (1989)
  6. C. E. Shannon, "Communication in the Presence of Noise", Proc. IRE, 37, pp.10~21 (1949)
  7. C. E. Shin, "General Sampling Theorem Using Contour Integral", J. Math. Anal. Appl., 291, pp.50~65 (2004)
  8. C. E. Shin, "Nonuniform Sampling of Bandlimited Functions", IEEE Trans. Inform. Theory, 54, pp.3814~3819 (2008)
  9. E. T. Whittaker, "On the functions which are represened by the expansions of the interpolation theory", Proc. Roy. Soc. Edinburgh, 35, pp.181~194 (1915)
  10. A. I. Zayed, "Advances in Shannon's Sampling Theory" (1993), CRC Press

관련 논문AI추천

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