Analysis of Error in Reconstruction of Two-Dimensional Signals from Irregularly Spaced Samples

IEEE Transactions on Acoustics, Speech, and Signal Processing

Volumn 35, Issue 2, 1987, Pages 173-180

  Chen, David Shi ^a   Allebach, Jan P ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - ERROR ANALYSIS;

2-D SIGNAL RECONSTRUCTION; RECONSTRUCTION ERROR ANALYSIS;

SIGNAL PROCESSING;

EID: 0023292388     PISSN: 00963518     EISSN: None     Source Type: Journal    
DOI: 10.1109/TASSP.1987.1165115     Document Type: Article

References (11)

1. A. J. Jerri, “The Shannon sampling theorem-Its various extensions and applications: A tutorial review,” Proc. IEEE, vol. 65, pp. 1565-1596, Nov. 1977.
2. J. L. Yen, “On nonuniform sampling of bandlimited signals,” IRE Trans. Circuit Theory, vol. CT-3, pp. 251-257, Dec. 1956.
3. L. Levi, “Fitting a bandlimited signal to given points,” IEEE Trans. Inform. Theory , vol. IT-11, pp. 372–376, July 1966.
4. K. Yao, “Applications of reproducing kernel Hilbert spaces—Bandlimited signal models,” Inform. Contr., vol. 11, pp. 429–444, 1967.
5. A. Papoulis, “Error analysis in sampling theory,” Proc. IEEE, vol. 54, pp.947-955, July 1966
6. J. J. Clark, M. R. Palmer, and P. D. Lawrence, “A transformation method for the reconstruction of functions from nonuniformly spaced samples,” IEEE Trans. Acoust., Speech Signal Processing, vol. ASSP-33, pp. 1151-1165, OCt. 1985.
7. F. J. Beutler, “Error-free recovery of signals from irregularly spaced samples,” SIAM Rev., vol. 8, pp. 328–335, July 1966.
8. J. R. Higgins, “A sampling theorem for irregularly spaced sample points,” IEEE Trans. Inform. Theory, vol. IT-21, pp. 621–622, Sept. 1976.
9. P. J. Davis, Interpolation and Approximation. Waltham, MA: Blaisdell, 1963, p. 178.
10. J.A. Bucklew and B. E. A. Saleh, “:Theorem for high-resolution high-contrast image synthesis,” J. Opr. SOC. Arne?., A, vol. 2, pp.1233-1236, Aug.1985
11. M. Marcus and H. Minc, A Survey of Matrix Theory and Matrix Inequalities. Boston, MA: Allyn and Bacon, 1964, pp. 146-167.