Optimal Utilization of a Cognitive Shared Channel with a Rechargeable Primary Source Node

  • Pappas, Nikolaos (Computer Science Department, University of Crete Greece and the Institute of Computer Science, Foundation for Research and Technology-Hellas (FORTH)) ;
  • Jeon, Jeong-Ho (Department of Electrical and Computer Engineering and the Institute for Systems Research, University of Maryland) ;
  • Ephremides, Anthony (Department of Electrical and Computer Engineering and the Institute for Systems Research, University of Maryland) ;
  • Traganitis, Apostolos (Computer Science Department, University of Crete Greece and the Institute of Computer Science, Foundation for Research and Technology-Hellas (FORTH))
  • Received : 2011.07.30
  • Published : 2012.04.30

Abstract

This paper considers the scenario in which a set of nodes share a common channel. Some nodes have a rechargeable battery and the others are plugged to a reliable power supply and, thus, have no energy limitations. We consider two source-destination pairs and apply the concept of cognitive radio communication in sharing the common channel. Specifically, we give high-priority to the energy-constrained source-destination pair, i.e., primary pair, and low-priority to the pair which is free from such constraint, i.e., secondary pair. In contrast to the traditional notion of cognitive radio, in which the secondary transmitter is required to relinquish the channel as soon as the primary is detected, the secondary transmitter not only utilizes the idle slots of primary pair but also transmits along with the primary transmitter with probability p. This is possible because we consider the general multi-packet reception model. Given the requirement on the primary pair's throughput, the probability p is chosen to maximize the secondary pair's throughput. To this end, we obtain two-dimensional maximum stable throughput region which describes the theoretical limit on rates that we can push into the network while maintaining the queues in the network to be stable. The result is obtained for both cases in which the capacity of the battery at the primary node is infinite and also finite.

Keywords

References

  1. N. Pappas, J. Jeon, A. Ephremides, and A. Traganitis, "Optimal utilization of a cognitive shared channel with a rechargeable primary source node," in Proc. IEEE Information Theory Workshop (ITW), Oct. 2011, pp. 598-602.
  2. Q. Zhao and B. M. Sadler, "A survey of dynamic spectrum access," IEEE Signal Process. Mag., vol. 24, no. 3, pp. 79-89, May 2007. https://doi.org/10.1109/MSP.2007.361604
  3. S. Ghez and S. Verdu, "Stability property of slotted aloha with multipacket reception capability," IEEE Trans. Autom. Control, vol. 33, no. 7, pp. 640-649, July 1988. https://doi.org/10.1109/9.1272
  4. Q. Z. L. Tong and G. Mergen, "Multipacket reception in random access wireless networks: From signal processing to optimal medium access control," IEEE Commun. Mag., vol. 39, no. 11, pp. 108-112, Nov. 2001. https://doi.org/10.1109/35.965367
  5. V. Naware, G. Mergen, and L. Tong, "Stability and delay of finite-user slotted aloha with multipacket reception," IEEE Trans. Inf. Theory, vol. 51, no. 7, pp. 2636-2656, July 2005. https://doi.org/10.1109/TIT.2005.850060
  6. B. Rong and A. Ephremides, "On opportunistic cooperation for improving the stability region with multipacket reception," in Proc. NET-COOP, LNCS, vol. 5894, 2009, pp. 45-59.
  7. S. Kompella, G. D. Nguyen, J. E.Wieselthier, and A. Ephremides, "Stable throughput tradeoffs in cognitive shared channels with cooperative relaying," in Proc. IEEE INFOCOM, 2011.
  8. O. Ozel and S. Ulukus, "Information-theoretic analysis of an energy harvesting communication system," in Proc. IEEE PIMRC, Sept. 2010.
  9. J. Jeon and A. Ephremides, "The stability region of random multiple access under stochastic energy harvesting," in Proc. IEEE ISIT, 2011, pp. 1796-1800 .
  10. B. S. Tsybakov and V. A. Mikhailov, "Ergodicity of a slotted aloha system," Problems of Information Transmission, vol. 15, no. 4, pp. 301-312, 1979.
  11. R. Rao and A. Ephremides, "On the stability of interacting queues in a multi-access system," IEEE Trans. Inf. Theory, vol. 34, no. 5, pp. 918-930, Sept. 1988. https://doi.org/10.1109/18.21216
  12. W. Szpankowski, "Stability conditions for some distributed systems: Buffered random access systems," Advances in Applied Probability, vol. 26, no. 2, pp. 498-515, June 1994. https://doi.org/10.2307/1427448
  13. W. Luo and A. Ephremides, "Stability of N interacting queues in randomaccess systems," IEEE Trans. Inf. Theory, vol. 45, no. 5, pp. 1579-1587, July 1999. https://doi.org/10.1109/18.771161
  14. R. M. Loynes, "The stability of a queue with non-independent inter-arrival and service times," Mathematical Proceedings of the Cambridge Philosophical Society, vol. 58, no. 3, pp. 497-520, 1962. https://doi.org/10.1017/S0305004100036781
  15. V. Sharma, U. Mukherji, and V. Joseph, "Efficient energy management policies for networks with energy harvesting sensor nodes," in Proc. Allerton Conf. Commun., Control, Comput., Sept. 2008, pp. 375-383.
  16. L. Kleinrock, Queueing Theory, Volume I: Theory. Wiley, New York: US, 1975.