High-rate analysis of symmetric L-channel multiple description coding

IEEE Transactions on Communications

Volumn 59, Issue 7, 2011, Pages 1846-1856

  Zhang, Guoqiang ^a   Østergaard, Jan ^b   Klejsa, Janusz ^a   Kleijn, W Bastiaan ^a,c  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b AALBORG UNIVERSITY   (Denmark)

^c VICTORIA UNIVERSITY OF WELLINGTON   (New Zealand)

Author keywords

high rate quantization; lattice quantizer; Multiple description coding

Indexed keywords

ASYMPTOTIC BEHAVIORS; DISTORTION PRODUCT; GAUSSIAN SOURCES; HIGH RATE; HIGH-RATE QUANTIZATION; LATTICE VECTORS; LOWER BOUNDS; MULTIPLE DESCRIPTION CODING; PERFORMANCE LOSS; QUANTIZERS; RATE-DISTORTION BOUNDS; SECOND MOMENTS; SECOND-LEVEL;

SPHERES;

EID: 79960559600     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCOMM.2011.051711.100254     Document Type: Article

References (21)

1. A. A. E. Gamal and T. M. Cover, "Achievable rates for multiple descriptions," IEEE Trans. Inf. Theory, vol. 28, no. 6, pp. 851-857, 1982.
2. L. Ozarow, "On a source-coding problem with two chnnels and three receivers," Bell System Tech. J., vol. 59, no. 10, pp. 1909-1921, 1980. (Pubitemid 11459046)
3. R. Zamir, "Gaussian codes and Shannon bounds for multiple descriptions," IEEE Trans. Inf. Theory, vol. 45, no. 7, pp. 2629-2636, 1999. (Pubitemid 129304740)
4. J. Østergaard, J. Jensen, and R. Heusdens, "n-channel entropy-constrained multiple-description lattice vector quantization," IEEE Trans. Inf. Theory, vol. 52, no. 5, pp. 1956-1973, 2006.
5. V. A. Vaishampayan and J.-C. Batllo, "Asymptotic analysis of multiple description quantizers," IEEE Trans. Inf. Theory, vol. 44, no. 1, pp. 278-284, 1998. (Pubitemid 128737896)
6. V. A. Vaishampayan, N. Sloane, and S. Servetto, "Multiple description vector quantization with lattice codebooks: Design and analysis," IEEE Trans. Inf. Theory, vol. 47, no. 5, pp. 1718-1734, 2001. (Pubitemid 32644691)
7. 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, 2003.
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, 2007. (Pubitemid 46852024)
9. -, "Vector Gaussian multiple description with two levels of receivers," IEEE Trans. Inf. Theory, vol. 55, no. 1, pp. 401-410, 2009.
10. X. Huang and X. Wu, "Optimal design of multiple description lattice vector quantizers," submitted to IEEE Trans. Inf. Theory, 2006.
11. J. Chen, C. Tian, T. Berger, and S. S. Hemami, "Mutiple description quantization via Gram-Schmidt orthogonalization," IEEE Trans. Inf. Theory, vol. 52, no. 12, pp. 5197-5217, 2006. (Pubitemid 46445369)
12. X. Zhang, J. Chen, S. B. Wicker, and T. Berger, "Successive coding in multiuser information theory," IEEE Trans. Inf. Theory, vol. 53, no. 6, pp. 2246-2254, 2007. (Pubitemid 46852031)
13. J. Østergaard and R. Zamir, "Multiple descriptions by dithered deltasigma quantization," IEEE Trans. Inf. Theory, vol. 55, no. 10, pp. 4661-4675, 2009.
14. G. Zhang, J. Klejsa, and W. B. Kleijn, "Analysis of k-channel multiple description quantization," in Proc. Data Compression Conf., 2009, pp. 53-62.
15. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge University Press, 1990.
16. T. Kailath, A. Sayed, and B. Hassibi, Linear Estimation, 1st edition. Prentice Hall, 2000.
17. V. A. Vaishampayan and J.-C. Batllo, "On reducing granular distortion in multiple description quantization," in Proc. IEEE Int. Symp. Inf. Thoery, 1998.
18. A. Gersho, "Asymptotically optimal block quantization," IEEE Trans. Inf. Theory, vol. 25, no. 4, pp. 373-380, 1979.
19. J. H. Conway and N. J. A. Sloane, Sphere Packing, Lattces and Groups, 3rd edition. Springer, 1998.
20. U. Erez, S. Litsyn, and R. Zamir, "Latttices which are good for (almost) everything," IEEE. Trans. Inf. Theory, vol. 51, no. 10, pp. 3401-3416, 2005. (Pubitemid 41448587)
21. F. Zhang, Matrix Theory: Basic Results and Techniques. Springer, 1999.