Multiple description coding for stationary Gaussian sources

IEEE Transactions on Information Theory

Volumn 55, Issue 6, 2009, Pages 2868-2881

  Chen, Jun ^a   Tian, Chao ^b,c   Diggavi, Suhas ^b  

^a MCMASTER UNIVERSITY   (Canada)

^b EPFL   (Switzerland)

^c AT AND T LABS RESEARCH   (United States)

Author keywords

Gaussian source; Lattice quantization; Multiple description coding; Power spectrum

Indexed keywords

A-TRANSFORM; FREQUENCY-DEPENDENT; GAUSSIAN SOURCE; GAUSSIAN SOURCES; LATTICE QUANTIZATION; MULTIPLE DESCRIPTION CODING; OPTIMAL CODING; SINGLE DESCRIPTIONS; SPECTRAL DOMAINS; SQUARED ERROR DISTORTION; WATERFILLING;

BLOCK CODES; POWER SPECTRUM; SPECTRUM ANALYSIS; WATER LEVELS;

IMAGE CODING;

EID: 66949132930     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2009.2018178     Document Type: Article

References (21)

1. A. A. El Gamal and T. M. Cover, "Achievable rates for multiple descriptions," IEEE Trans. Inf. Theory, vol. IT-28, no. 6, pp. 851-857, Nov. 1982.
2. R. Ahlswede, "The rate-distortion region for multiple descriptions without excess rate," IEEE Trans. Inf. Theory, vol. IT-31, no. 6, pp. 721-726, Nov. 1985.
3. Z. Zhang and T. Berger, "New results in binary multiple descriptions," IEEE Trans. Inf. Theory, vol. IT-33, no. 4, pp. 502-521, July 1987.
4. L. Ozarow, "On a source coding problem with two channels and three receivers," Bell Syst. Tech. J., vol. 59, no. 10, pp. 1909-1921, Dec. 1980.
5. R. Venkataramani, G. Kramer, and V. K. Goyal, "Multiple description coding with many channels," IEEE Trans. Inf. Theory, vol. 49, no. 9, pp. 2106-2114, Sep. 2003.
6. S. S. Pradhan, R. Puri, and K. Ramchandran, "n-channel symmetric multiple descriptions - Part I: (n, k) source-channel erasure codes," IEEE Trans. Inf. Theory, vol. 50, no. 1, pp. 47-61, Jan. 2004.
7. R. Puri, S. S. Pradhan, and K. Ramchandran, "n-channel symmetric multiple descriptions - Part II: An achievable rate-distortion region," IEEE Trans. Inf. Theory, vol. 51, no. 4, pp. 1377-1392, Apr. 2005.
8. H. Wang and P. Viswanath, "Vector gaussian multiple description with individual and central receivers," IEEE Trans. Inf. Theory, vol. 53, no. 6, pp. 2133-2153, Jun. 2007.
9. X. Yang and K. Ramchandran, "Optimal subband filter banks for multiple description coding," IEEE Trans. Inf. Theory, vol. 46, no. 7, pp. 2477-2490, Nov. 2000.
10. R. Zamir, "Shannon-type bounds for multiple descriptions of a stationary source," J. Comb., Inf. Syst. Sci., pp. 1-15, Dec. 2000.
11. P. L. Dragotti, S. D. Servetto, and M. Vetterli, "Optimal filter banks for multiple description coding: Analysis and synthesis," IEEE Trans. Inf. Theory, vol. 48, no. 7, pp. 2036-2052, Jul. 2002.
12. M. Fleming and M. Effros, "The rate distortion region for the multiple description problem," in Proc. IEEE Int. Symp. Information Theory Sorrento, Italy, Jun. 2000, p. 208.
13. J. C. Taylor, An Introduction to Measure and Probability. New York: Springer, 1997.
14. G. Maruyama, "The harmonic analysis of stationary stochastic processes," Memoirs of the Faculty of Science, Series A, Mathematics vol. 4, no. 1, pp. 45-106, 1949.
15. V. Sethuraman and B. Hajek, "Capacity per unit energy of fading channels with a peak constraint," IEEE Trans. Inf. Theory, vol. 51, no. 9, pp. 3102-3120, Sep. 2005.
16. K. Hoffman, Banach Spaces of Analytic Functions. New York: Prentice-Hall, 1962.
17. S. N. Diggavi and T. M. Cover, "The worst additive noise under a covariance constraint," IEEE Trans. Inf. Theory, vol. 47, no. 7, pp. 3072-3081, Nov. 2001.
18. J. Chen, C. Tian, T. Berger, and S. S. Hemami, "Multiple description quantization via Gram-Schmidt orthogonalization," IEEE Trans. Inf. Theory, vol. 52, no. 12, pp. 5197-5217, Dec. 2006.
19. Y. Frank-Dayan and R. Zamir, "Dithered lattice-based quantizers for multiple descriptions," IEEE Trans. Inf. Theory, vol. 48, no. 1, pp. 192-204, Jan. 2002.
20. U. Grenander and G. Szegö, Toeplitz Forms and Their Applications Providence, RI: AMS Chelsea, 1958.
21. R. M. Gray, "Toeplitz and circulant matrices: A review," Foundations and Trends in Communications and Information Theory, vol. 2, pp. 155-239, 2006.