Skip to content

Advertisement

EURASIP Journal on Wireless Communications and Networking
EURASIP Journal on Wireless Communications and Networking Cover Image
  • Research Article
  • Open Access

Routing and Power Allocation in Asynchronous Gaussian Multiple-Relay Channels

EURASIP Journal on Wireless Communications and Networking20062006:056914

https://doi.org/10.1155/WCN/2006/56914

©  Z. Yang and A. Høst-Madsen 2006

  • Received: 31 October 2005
  • Accepted: 2 May 2006
  • Published:

Abstract

We investigate the cooperation efficiency of the multiple-relay channel when carrier-level synchronization is not available and all nodes use a decode-forward scheme. We show that by using decode-forward relay signaling, the transmission is effectively interference-free even when all communications share one common physical medium. Furthermore, for any channel realization, we show that there always exist a sequential path and a corresponding simple power allocation policy, which are optimal. Although this does not naturally lead to a polynomial algorithm for the optimization problem, it greatly reduces the search space and makes finding heuristic algorithms easier. To illustrate the efficiency of cooperation and provide prototypes for practical implementation of relay-channel signaling, we propose two heuristic algorithms. The numerical results show that in the low-rate regime, the gain from cooperation is limited, while the gain is considerable in the high-rate regime.

Keywords

  • Information System
  • Search Space
  • System Application
  • Heuristic Algorithm
  • Power Allocation

[12345678910111213141516171819202122232425262728]

Authors’ Affiliations

(1)
Department of Electrical Engineering, University of Hawaii at Manoa, Honolulu, HI 96822, USA

References

  1. van der Meulen EC: Three- terminal communication channels. Advances in Applied Probability 1971,3(1):120-154. 10.2307/1426331MathSciNetView ArticleMATHGoogle Scholar
  2. van der Meulen EC: Transmission of information in a T-terminal discrete memoryless channel, M.S. thesis. Department of Statistics, University of California, Berkeley, Calif, USA; 1968.Google Scholar
  3. Cover TM, El Gamal AA: Capacity theorems for the relay channel. IEEE Transactions on Information Theory 1979,25(5):572-584. 10.1109/TIT.1979.1056084MathSciNetView ArticleMATHGoogle Scholar
  4. Laneman JN, Tse DNC, Wornell GW: Cooperative diversity in wireless networks: efficient protocols and outage behavior. IEEE Transactions on Information Theory 2004,50(12):3062-3080. 10.1109/TIT.2004.838089MathSciNetView ArticleMATHGoogle Scholar
  5. Gupta P, Kumar PR: Towards an information theory of large networks: an achievable rate region. IEEE Transactions on Information Theory 2003,49(8):1877-1894. 10.1109/TIT.2003.814480MathSciNetView ArticleMATHGoogle Scholar
  6. Kramer G, Gastpar M, Gupta P: Cooperative strategies and capacity theorems for relay networks. IEEE Transactions on Information Theory 2005,51(9):3037-3063. 10.1109/TIT.2005.853304MathSciNetView ArticleMATHGoogle Scholar
  7. Høst-Madsen A, Zhang J: Capacity bounds and power allocation for the wireless relay channel. IEEE Transactions on Information Theory 2005,51(6):2020-2040. 10.1109/TIT.2005.847703View ArticleMATHGoogle Scholar
  8. Høst-Madsen A: Capacity bounds for cooperative diversity. IEEE Transactions on Information Theory 2006,52(4):1522-1544.View ArticleMathSciNetMATHGoogle Scholar
  9. Schein B, Gallager R: The Gaussian parallel relay network. Proceedings of IEEE International Symposium on Information Theory, June 2000, Sorrento, Italy 22.Google Scholar
  10. Karagiannidis GK, Tsiftsis TA, Mallik RK: Bounds for multihop relayed communications in Nakagami-m fading. IEEE Transactions on Communications 2006,54(1):18-22.View ArticleGoogle Scholar
  11. Karagiannidis GK: Performance bounds of multihop wireless communications with blind relays over generalized fading channels. IEEE Transactions on Wireless Communications 2006,5(2):498-503. 10.1109/TWC.2006.1603962View ArticleGoogle Scholar
  12. Azarian K, El Gamal H, Schniter P: On the achievable diversity-multiplexing tradeoff in half-duplex cooperative channels. IEEE Transactions on Information Theory 2005,51(12):4152-4172. 10.1109/TIT.2005.858920MathSciNetView ArticleMATHGoogle Scholar
  13. Bletsas A, Khisti A, Reed DP, Lippman A: A simple cooperative diversity method based on network path selection. IEEE Journal on Selected Areas in Communications 2006,24(3):659-672. special issue on 4GView ArticleGoogle Scholar
  14. Perevalov E, Blum RS: Delay limited capacity of ad hoc networks: asymptotically optimal transmission and relaying strategy. IEEE Transactions on Communications 2004,52(11):1957-1968. 10.1109/TCOMM.2004.836587View ArticleGoogle Scholar
  15. Cheng S, Xiong Z: Successive refinement for the Wyner-Ziv problem and layered code design. Proceedings of Data Compression Conference (DCC '04), March 2004, Snowbird, Utah, USA 531.Google Scholar
  16. Xie L-L, Kumar PR: A network information theory for wireless communication: scaling laws and optimal operation. IEEE Transactions on Information Theory 2004,50(5):748-767. 10.1109/TIT.2004.826631MathSciNetView ArticleMATHGoogle Scholar
  17. Reznik A, Kulkarni SR, Verdú S: Degraded Gaussian multirelay channel: capacity and optimal power allocation. IEEE Transactions on Information Theory 2004,50(12):3037-3046. 10.1109/TIT.2004.838373View ArticleMathSciNetMATHGoogle Scholar
  18. Wieselthier JE, Nguyen GD, Ephremides A: On the construction of energy-efficient broadcast and multicast trees in wireless networks. Proceedings of 19th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM '00), March 2000, Tel Aviv, Israel 2: 585-594.Google Scholar
  19. Srinivas A, Modiano E: Minimum energy disjoint path routing in wireless ad hoc networks. Proceedings of the Annual International Conference on Mobile Computing and Networking (MOBICOM '03), September 2003, San Diego, Calif, USA 122-133.View ArticleGoogle Scholar
  20. Khandani A, Abounadi J, Modiano E, Zheng L: Cooperative routing in wireless networks. Proceedings of 41st Annual Allerton Conference on Communications, Control and Computing, October 2003, Monticello, Ill, USA 1270-1279.Google Scholar
  21. Maric I, Yates RD: Bandwidth and power allocation for cooperative strategies in Gaussian relay networks. Proceedings of Asilomar Conference on Signals, Systems and Computers, November 2004, Monterey, Calif, USA 2: 1907-1911.Google Scholar
  22. Maric I, Yates R: Forwarding strategies for parallel-relay networks. Proceedings of Information Sciences and Systems (CISS '04), March 2004, Princeton, NJ, USAGoogle Scholar
  23. Chen S, Beach MA, McGeehan JP: Division-free duplex for wireless applications. Electronics Letters 1998,34(2):147-148. 10.1049/el:19980022View ArticleGoogle Scholar
  24. Carleial AB: Multiple-access channels with different generalized feedback signals. IEEE Transactions on Information Theory 1982,28(6):841-850. 10.1109/TIT.1982.1056587View ArticleMATHGoogle Scholar
  25. Valenti MC, Zhao B: Capacity approaching distributed turbo codes for the relay channel. Proceedings of the 57th IEEE Semiannual Vehicular Technology Conference, April 2003, Jeju, KoreaGoogle Scholar
  26. Bertsekas D, Gallager R: Data Networks. Prentice-Hall, Englewood Cliffs, NJ, USA; 1987.MATHGoogle Scholar
  27. Xue F, Xie L-L, Kumar PR: The transport capacity of wireless networks over fading channels. IEEE Transactions on Information Theory 2005,51(3):834-847. 10.1109/TIT.2004.842628MathSciNetView ArticleMATHGoogle Scholar
  28. Chakrabarti A, Sabharwal A, Aazhang B: Multi-hop communication is order-optimal for homogeneous sensor networks. Proceedings of the 3rd International Symposium on Information Processing in Sensor Networks (IPSN '04), April 2004, Berkeley, Calif, USA 178-185.Google Scholar

Copyright

© Z. Yang and A. Høst-Madsen 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advertisement