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Achieving energy efficient equilibrium in power diversity-enabled collision channels

Published: 26 October 2011 Publication History

Abstract

We consider the uplink case of a cellular system where a finite number of users communicate with a central receiver. Each user selects a desired throughput and seeks to fulfill it by accessing the channel following an aloha-like protocol. Then, the users participate in a non cooperative game wherein they adjust their transmit rate to attain their desired throughput. In order to enlarge the rate feasible region, we introduce a power diversity scheme coupled with a Signal to Interference plus Noise Ratio-based capture. We extend many known results found for single power case. For instance, we have shown existence of two Nash equilibria where one is strictly better for all the users. Next, we propose two distributed algorithms where we discuss the available information versus the convergence speed. Extensive simulations are provided to validate our results.

References

[1]
N. Abramson. The aloha system - another alternative for computer communications. In Proc. AFIPS Conf., 1970.
[2]
E. Altman, R. El-Azouzi, and T. Jimenez. Slotted aloha as a game with partial information. Comnet, 45(6), 2004.
[3]
R. El-Azouzi, E. Sabir, T. Jiménez, and E. H. Bouyakhf, "Modeling Slotted Aloha as a Stochastic Game with Random Discrete Power Selection Algorithms", JCSNC. 2009.
[4]
Y. Jin and G. Kesidis. Equilibria of a noncooperative game for heterogeneous users of an aloha network. IEEE Communication Letters, 6(7), pages 282--284, 2002.
[5]
B. MacKenzie and S. B. Wicker. Stability of slotted aloha with multipacket reception and selfish users. In Proceedings of IEEE INFOCOM, 2003.
[6]
I. Menashe and N. Shimkin. Rate-Based Equilibria in Collision Channels with Fading. IEEE Journal on Selected Area in Communications, Vol. 26, No. 7, September 2008.
[7]
L. G. Roberts. Aloha packet system with and without slots and capture. In Stanford Res. Inst., Advanced Research Projects Agency, Network Information Center, Stanford, Tech. Rep. ASS Note 8, 1972.
[8]
E. Sabir, R. El-Azouzi, V. Kavitha, Y. Hayel, and E. H. Bouyakhf. "Stochastic learning solution for constrained Nash Equilibrium throughput in non saturated wireless collision channels". In Proceedings of ValueTools, 2009.

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ISABEL '11: Proceedings of the 4th International Symposium on Applied Sciences in Biomedical and Communication Technologies
October 2011
949 pages
ISBN:9781450309134
DOI:10.1145/2093698
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Sponsors

  • Universitat Pompeu Fabra
  • IEEE
  • Technical University of Catalonia Spain: Technical University of Catalonia (UPC), Spain
  • River Publishers: River Publishers
  • CTTC: Technological Center for Telecommunications of Catalonia
  • CTIF: Kyranova Ltd, Center for TeleInFrastruktur

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 26 October 2011

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Author Tags

  1. slotted aloha
  2. stochastic learning
  3. throughput demand

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ISABEL '11
Sponsor:
  • Technical University of Catalonia Spain
  • River Publishers
  • CTTC
  • CTIF

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