An Optimal Recovery Approach to Interpolation

IEEE Transactions on Signal Processing

Volumn 40, Issue 8, 1992, Pages 1987-1996

  Shenoy, Ram G ^a   Parks, Thomas W ^a  

^a Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INTERPOLATION; SPECTRUM ANALYSIS;

INTERPOLATION PROBLEM;

SIGNAL FILTERING AND PREDICTION;

EID: 0026910150     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.150000     Document Type: Article

References (12)

1. G. Oetken, T. W. Parks, and H. W. Schussler, “New results in the design of digital interpolators,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-23, pp. 301–309, June 1975.
2. D. Burnside and T. W. Parks, “Amplitude bound interpolation of sonic well-log data,” in Proc. ICASSP 90, Apr. 1990, pp. 1933–1936.
3. M. Golomb and H. F. Weinberger, “Optimal approximation and error bounds,” in On Numerical Approximation, R. E. Langer, Ed. Madison, WI: University of Wisconsin Press, 1959, 117–190.
4. D. Secrest, “Best integration formulas and best error bounds,” Math. Computat., vol. 19, 79–83, Jan. 1965.
5. D. Secrest, “Error bounds for interpolation and differentiation by the use of spline functions,” SIAM J. Numer. Anal., Ser. B., vol. 2, no. 3, pp. 440–447, 1965.
6. A. A. Melkman and C. A. Michelli, “Optimal estimation of linear operators in Hilbert space from inaccurate data,” SIAM J. Numer. Anal., vol. 16, 87–105, Feb. 1979.
7. W. Rudin, Real and Complex Analysis. New York: McGraw-Hill, 1987.
8. C. A. Michelli and T. J. Rivlin, “A survey of optimal recovery,” in Optimal Estimation in Approximation Theory, C. A. Michelli and T. J. Rivlin, Eds. New York: Plenum, 1976, pp. 1–54.
9. J. H. Ahlberg, E. N. Wilson, and J. L. Walsh, The Theory of Splines and Their Applications. New York: Academic, 1967.
10. R. B. Holmes, A Course on Optimization and Best Approximation. New York: Springer-Verlag, 1972.
11. S. R. McCaslin, T. W. Parks, and K. Steiglitz, “Finite-record filtering for band-limited signals,” in Proc. ICASSP 87, Mar. 1987, pp. 1577–1580.
12. T. W. Parks and D. P. Kolba, “Interpolation minimizing maximum normalized error for band-limited signals,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-26, pp. 381–384, Aug. 1978.