Extrapolating a Band-Limited Function from its Samples Taken in a Finite Interval

IEEE Transactions on Information Theory

Volumn 32, Issue 4, 1986, Pages 464-470

  Landau, Henry J ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC MEASUREMENTS; MATHEMATICAL TECHNIQUES - APPROXIMATION THEORY;

BAND-LIMITED SIGNALS EXTRAPOLATION; MEASUREMENT ERRORS; NYQUIST RATE; SIGNALS OUTSIDE SAMPLING INTERVAL;

SIGNAL PROCESSING;

EID: 0022755079     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/TIT.1986.1057205     Document Type: Article

References (9)

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3. J. H. Knab, “System error bounds for Lagrange polynomial estimation of bandlimited functions,” IEEE Trans. Inform. Theory, vol. IT-21, pp. 474–476, 1975.
4. H. Kritikos, “Measurement accuracies in bandlimited extrapolation,” J. Franklin Inst., vol. 319, pp. 381–390, 1985.
5. D. M. Klamer and E. Masry, “Polynomial interpolation of randomly sampled bandlimited functions and processes,” SIAM J. Appl. Math., vol. 42, pp. 1004–1019, 1982.
6. A. A. Melkman, “N-widths and optimal interpolation of time- and band-limited functions II,” SIAM J. Appl. Math., vol. 16, pp. 803–813, 1985.
7. C. A. Micchelli and T. J. Rivlin, “A survey of optimal recovery,” in Optimal Estimation in Approximation Theory, C. A. Micchelli and T. J. Rivlin, Eds. New York: Plenum, 1977, pp. 1–53.
8. T. W. Parks and D. P. Kolba, “Time domain considerations in optimal estimation for bandlimited signals,” Applied Time Series Analysis II, D. F. Findley, Ed. New York: Academic, 1981, pp. 271–299.
9. W. Splettstosser, “On the prediction of bandlimited signals from past samples,” Inform. Sci., vol. 28, pp. 115–130, 1982.