Stability issues in error control coding in the complex field, interpolation, and frame bounds

IEEE Signal Processing Letters

Volumn 7, Issue 3, 2000, Pages 57-59

  Ferreira, Paulo J S G ^a  

^a UNIVERSITY OF AVEIRO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; EIGENVALUES AND EIGENFUNCTIONS; ERROR CORRECTION; ERROR DETECTION; INTERPOLATION; MATRIX ALGEBRA; SPECTRUM ANALYSIS;

CONDITION NUMBER; ERROR CONTROL CODING; FRAME BOUNDS; REAL CODES;

SIGNAL ENCODING;

EID: 0034159209     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/97.823525     Document Type: Article

References (11)

1. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, MA: Cambridge Univ. Press, 1990.
2. P. J. S. G. Ferreira, "Noniterative and faster iterative methods for interpolation and extrapolation," IEEE Trans. Signal Processing, vol. 42, pp. 3278-3282, Nov. 1994.
3. D. Slepian, "Prolate spheroidal wave functions, Fourier analysis and uncertainty - V: The discrete case," Bell Syst. Tech. J., vol. 57, pp. 1371-1429, May 1978.
4. U. Grenander and G. Szegö, Toeplitz Forms and Their Applications. Los Angeles, CA: Chelsea, 1958.
5. J. M. Varah, "The prolate matrix," Linear Algebra Applicat., vol. 187, pp. 269-278, 1993.
6. P. J. S. G. Ferreira, "The eigenvalues of matrices which occur in certain interpolation problems," IEEE Trans. Signal Processing, vol. 45, pp. 2115-2120, Aug. 1997.
7. _, "The stability of a procedure for the recovery of lost samples in band-limited signals," Signal Process., vol. 40, pp. 195-205, Dec. 1994.
8. _, "Interpolation in the time and frequency domains," IEEE Signal Processing Lett., vol. 3, pp. 176-178, June 1996.
9. J. M. N. Vieira and P. J. S. G. Ferreira, "Interpolation, spectrum analysis, error-control coding, and fault-tolerant computing," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing, ICASSP'97, vol. III, Munich, Germany, Apr. 1997, pp. 1831-1834.
10. T. G. Marshall, Jr., "Coding of real-number sequences for error correction: A digital signal processing problem," IEEE J. Select. Areas Commun., vol. SAC-2, pp. 381-391, Mar. 1984.
11. N. Rožić, "Image/video communications: Joint source/channel coding," Int. J. Commun. Syst., vol. 12, pp. 23-47, 1999.