The degrees of freedom of compute-and-forward

IEEE International Symposium on Information Theory - Proceedings

Volumn , Issue , 2011, Pages 1081-1085

  Niesen, Urs ^a   Whiting, Phil ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC BEHAVIORS; HIGH SIGNAL-TO-NOISE RATIO; LATTICE CODING; MULTIPLE-INPUT MULTIPLE-OUTPUT CHANNELS; NUMBER OF DEGREES OF FREEDOM; RELAY NETWORK; UPPER BOUND;

FADING (RADIO); FILTER BANKS; INFORMATION THEORY; MIMO SYSTEMS; SIGNAL TO NOISE RATIO; TRANSMITTERS;

MECHANICS;

EID: 80054809382     PISSN: 21578104     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.2011.6033697     Document Type: Conference Paper

References (20)

1. T. M. Cover and A. A. El Gamal, "Capacity theorems for the relay channel", IEEE Trans. Inf. Theory, vol. 25, pp. 572-584, Sept. 1972.
2. J. N. Laneman, D. N. C. Tse, and G. W. Wornell, "Cooperative diversity in wireless networks: Efficient protocols and outage behaviour", IEEE Trans. Inf. Theory, vol. 50, pp. 3062-3080, Dec. 2004.
3. G. Kramer, M. Gastpar, and P. Gupta, "Cooperative strategies and capacity theorems for relay networks", IEEE Trans. Inf. Theory vol 51, B. 3037-3063, Sept. 2005.
4. M. Gastpar and M. Vetterli, "On the capacity of large Gaussian relay networks", IEEE Trans. Inf. Theory, vol. 51, pp. 765-779, Mar. 2005
5. U. Niesen and S. Diggavi "The approximate capacity of the Gaussian N-relay diamond network", arXiv 1008.3813 [cs. IT], Aug. 2010. Submitted to IEEE Trans. Inf. Theory.
6. Y.-H. Kim, "Capacity of a class of deterministic relay channels", IEEE Trans. Inf. Theory, vol. 54, pp. 1328-1329, Mar. 2008.
7. M. Aleksic, P. Razahgi, and W. Yu, "Capacity of a class of modulo-sum relay channels", IEEE Trans. Inf. Theory, vol. 55, pp. 921-930, Mar. 2009.
8. A. Sanderovich, O. Somekh, H. V. Poor, and S. Shamai, "Uplink macro diversity of limited backhaul cellular network", IEEE Trans Inf. Theory, vol. 55, pp. 3457-3478, Aug. 2009.
9. A. S. Avestimehr, S. N. Diggavi, and D. N. C. Tse, "Wireless network information flow: A deterministic approach", arXiv:0906.5394 [cs. IT], June 2009. Submitted to IEEE Trans Inf. Theory.
10. B. Nazer and M. Gastpar, "Compute-and-forward: Harnessing interference through structured codes", arXiv:0908.2119 [cs. IT], Aug. 2009. Submitted to IEEE Trans. Inf. Theory.
11. S. Zhang, S. C. Liew, and P. P. Lam, "Hot topic: Physical-layer network coding", in Proc. ACM MobiCom, pp. 358-365, Sept. 2006
12. S. Katti, S. Gollakota, and D. Katabi "Embracing wireless interference: Analog network coding", in Proc. ACM SIGCOMM, pp. 397-408, Oct. 2007.
13. H.-A. Loeliger, "Averaging bounds for lattices and linear codes", IEEE Trans. Inf. Theory, vol. 43 pp. 1767-1773, Nov. 1997.
14. U. Erez and R. Zamir, "Achieving 1/2 log (1 + SNR) on the AWGN channel with lattice encoding and decoding", IEEE Trans. Inf. Theory, vol. 50, pp. 2293-2314, Oct. 2004.
15. U. Niesen and P. Whiting, "The degrees of freedom of compute-andforward", arXiv:1101.2182 [cs. IT], Jan. 2011. Submitted to IEEE Trans. Inf. Theory.
16. A. Høst-Madsen and A. Nosratinia, "The multiplexing gain of wireless networks", in Proc. IEEE ISIT, pp. 2065-2069 Sept. 2005.
17. A. S. Motahari, S. O. Gharan, M. A. Maddah-Ali, and A. K. Khandani, "Real interference alignment: Exploiting the potential of single antenna systems", arXiv:09082282 [cs. IT], Aug. 2009. Submitted to IEEE Trans. Inf. Theory.
18. I. E. Telatar, "Capacity of multi-antenna Gaussian channels", Europ. Trans. Telecommun., vol. 10, pp. 585-595, November 1999.
19. V. Bernik, D. Kleinbock, and G. A. Margulis, "Khintchine-type theorems on manifolds: The convergence case for standard and multiplicative versions", Int. Math. Res. Notices, vol. 2001, no. 9, pp. 453-486, 2001.
20. V. Beresnevich, "A Groshev type theorem for convergence folds", Acta Math. Hungar., vol. 94, pp. 99-130, May 2002.