On the block error probability of finite-length codes in decentralized wireless networks

2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011

Volumn , Issue , 2011, Pages 1195-1201

  Galarza, Cecilia G ^a   Piantanida, Pablo ^b   Kountouris, Marios ^b  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^b SUPELEC   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC REGIMES; BLOCK ERROR PROBABILITY; CODE LENGTH; CODEBOOKS; ERROR PROBABILITIES; GAUSSIANS; NETWORK MODELS; OUTAGE PROBABILITY; PATH LOSS; POISSON POINT PROCESS; TRANSMITTED SIGNAL;

AD HOC NETWORKS; COMMUNICATION; MOBILE AD HOC NETWORKS; PROBABILITY; TRELLIS CODES;

NETWORK CODING;

EID: 84856094558     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/Allerton.2011.6120303     Document Type: Conference Paper

References (28)

1. P. Gupta and P. Kumar, "The capacity of wireless networks," Information Theory, IEEE Transactions on, vol. 46, no. 2, pp. 388 -404, Mar. 2000.
2. F. Baccelli, B. Blaszczyszyn, and P. Muhlethaler, "An aloha protocol for multihop mobile wireless networks," IEEE Transactions on Information Theory, vol. 52, no. 2, pp. 421-436, 2006. (Pubitemid 43174089)
3. -, "On the performance of time-space opportunistic routing in multihop mobile ad hoc networks," in Proc. 6th Int. Symp. Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks and Workshops WiOPT 2008, 2008, pp. 307-316.
4. S. Weber, J. G. Andrews, and N. Jindal, "An overview of the transmission capacity of wireless networks," Trans. Comm., vol. 58, pp. 3593-3604, December 2010. [Online]. Available: http://dx.doi.org/10.1109/TCOMM. 2010.093010.090478
5. R. G. Gallager, Information Theory and Reliable Communication. New York, NY, USA: John Wiley & Sons, Inc., 1968.
6. D. Baron, A. Khojastepour, and R. G. Baraniuk, "How quickly can we approach capacity for the gaussian channel?" in 38th Asilomar Conf. on Signals, Systems, and Computers, November 2004.
7. M. Hayashi, "Information spectrum approach to second-order coding rate in channel coding," Information Theory, IEEE Transactions on, vol. 55, no. 11, pp. 4947 -4966, nov. 2009.
8. T. S. Han and S. Verdu, "Approximation theory of output statistics," Information Theory, IEEE Transactions on, vol. 39, no. 3, pp. 752 -772, May 1993.
9. Y. Polyanskiy, H. V. Poor, and S. Verdu, "Channel coding rate in the finite blocklength regime," IEEE Transactions on Information Theory, vol. 56, no. 5, pp. 2307-2359, 2010.
10. A. Martinez and A. G. i Fabregas, "Saddlepoint approximation of random-coding bounds," in Information Theory and Applications Workshop (ITA), 2011, feb. 2011, pp. 1 -6.
11. J. Shi and R. D. Wesel, "A study on universal codes with finite block lengths," Information Theory, IEEE Transactions on, vol. 53, no. 9, pp. 3066 -3074, sept. 2007.
12. Z. Wang and J. Luo, "Achievable error exponent of channel coding in random access communication," in Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on, june 2010, pp. 270 -274.
13. J. Luo and A. Ephremides, "A channel coding approach for random access communication with bursty sources," in Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on, june 2010, pp. 1823-1827.
14. E. Yilmaz, R. Knopp, and D. Gesbert, "Error exponents for backhaul-constrained parallel relay networks," in PIMRC 2010, 21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, September 26-29, Istanbul, Turkey, 09 2010.
15. H. Q. Ngo, T. Quek, and H. Shin, "Amplify-and-forward two-way relay networks: Error exponents and resource allocation," Communications, IEEE Transactions on, vol. 58, no. 9, pp. 2653 -2666, september 2010.
16. F. Baccelli and B. Blaszczyszyn, Stochastic Geometry and Wireless Networks Volume 2: APPLICATIONS. Foundations and Trends in Networking, 2009, vol. 4, no. 1-2.
17. T. S. Han, Information Spectrum Methods in Information Theory. Springer, 2003.
18. T. Cover and J. Thomas, Elements of Information Theory, 2nd ed. John Wiley & Sons, 2006.
19. F. Baccelli and B. Blaszczyszyn, Stochastic Geometry and Wireless Networks Volume 1: THEORY. Foundations and Trends in Networking, 2009, vol. 3, no. 3-4.
20. R. Ash, Information Theory. New York: Interscience Publishers, 1965.
21. S. Verdu and T. S. Han, "A general formula for channel capacity," IEEE Transactions on Information Theory, vol. 40, no. 4, pp. 1147-1157, July 1994.
22. R. Durrett, Probability: Theory and Examples, C. U. Press, Ed. Cambridge University Press, 2010.
23. C. G. Galarza and P. Piantanida, "On the error probability of finite block length codes in large decentralized wireless networks," in under preparation, 2011.
24. S. Weber and J. G. Andrews, and N. Jindal, "The effect of fading, channel inversion, and threshold scheduling on ad hoc networks," IEEE Transactions on Information Theory, vol. 53, no. 11, pp. 4127-4149, November2007.
25. V. Anantharam, and F. Baccelli, "A Palm theory approach to error exponents," in ISIT 2008. IEEE International Symposium on Information Theory, July 2008.
26. S. Weber and X. Yang, and J. G. Andrews, and G. de Veciana," Transmission capacity of wireless ad hoc networks with outage constraints," IEEE Transactions on Information Theory, vol. 51 no. 12, pp. 4091-4101, December 2005.
27. D. Stoyan and W. Kendall and J. Mecke, Stochastic Geometry and Its Applications, John Wiley and Sons, Ed. 2nd, 1996.
28. A. Feinstein, "A new basic theorem of information theory," Information Theory, IRE Professional Group on, vol. 4 no. 4, pp. 2-22, September 1954.