Distributed Energy Efficient Channel Allocation
2014, arXiv (Cornell University)
https://doi.org/10.48550/ARXIV.1401.1671Abstract
Design of energy efficient protocols for modern wireless systems has become an important area of research. In this paper, we propose a distributed optimization algorithm for the channel assignment problem for multiple interfering transceiver pairs that cannot communicate with each other. We first modify the auction algorithm for maximal energy efficiency and show that the problem can be solved without explicit message passing using the carrier sense multiple access (CSMA) protocol. We then develop a novel scheme by converting the channel assignment problem into perfect matchings on bipartite graphs. The proposed scheme improves the energy efficiency and does not require any explicit message passing or a shared memory between the users. We derive bounds on the convergence rate and show that the proposed algorithm converges faster than the distributed auction algorithm and achieves near-optimal performance under Rayleigh fading channels. We also present an asymptotic performance analysis of the fast matching algorithm for energy efficient resource allocation and prove the optimality for large enough number of users and number of channels. Finally, we provide numerical assessments that confirm the energy efficiency gains compared to the state of the art. Index Terms-Auction algorithm, bipartite graph, channel assignment, energy efficiency (EE), linear programming, distributed protocol, multi-access channel, Rayleigh fading channel, resource management, wireless networks. I. INTRODUCTION Communication networks have been designed to optimize conventional performance measures such as bit-error-rate, latency, and data-rate in the past few decades. In the last few years, the issue of energy-efficient network design has gained more importance [1], [2], [3], [4]. Information and communication technologies (ICT) represent about 2% of the entire world's energy consumption, and the situation is likely to reach a point where ICT equipment in large cities will require more energy than is actually available [5]. For data networks, contrary to the intuition, more energy is consumed in access networks than in core networks. This happens because the number of devices in access networks (i.e. mobile terminals, base stations, and data modems installed on customers' premises) is much larger than the number of communication devices (routers, multiplexers, etc.) in the core network. This has sparked research in the field of wireless networks with a focus on the problem of optimizing the energy Oshri Naparstek was a Ph.D. student with Faculty of Engineering,
References (44)
- H. Zhang, A. Gladisch, M. Pickavet, Z. Tao, and W. Mohr, "Special issue on energy efficiency in communications," IEEE Communications Magazine, vol. 48, no. 11, pp. 48-49, November 2010.
- G. Y. Li, S. Xu, A. Swami, N. Himayat, and G. Fettweis, "Special issue on energy-efficient wireless communications," IEEE Journal on Selected Areas in Communications, vol. 29, no. 8, pp. 1505-1507, September 2011.
- S. Buzzi, Chih-Lin I, T. Klein, H. V. Poor, C. Yang, and A. Zappone, "A survey of energy-efficient techniques for 5G networks and challenges ahead," IEEE Journal on Selected Areas in Communications, vol. 34, no. 4, pp. 697-709, April 2016.
- D. Feng, C. Jiang, G. Lim, L. J. Cimini, G. Feng, and G. Y. Li, "A survey of energy-efficient wireless communications," IEEE Communications Surveys Tutorials, vol. 15, no. 1, pp. 167-178, First 2013.
- M. Pickavet, W. Vereecken, S. Demeyer, P. Audenaert, B. Vermeulen, C. Develder, D. Colle, B. Dhoedt, and P. Demeester, "Worldwide energy needs for ict: The rise of power-aware networking," in 2008 2nd In- ternational Symposium on Advanced Networks and Telecommunication Systems, Dec 2008, pp. 1-3.
- D. Gale and L.Shapley, "College admissions and the stability of mar- riage," The American Mathematical Monthly, vol. 69, no. 1, pp. 9-15, 1962.
- Y. Yaffe, A. Leshem, and E. Zehavi, "Stable matching for channel access control in cognitive radio systems," in 2010 2nd International Workshop on Cognitive Information Processing, June 2010, pp. 470-475.
- A. Leshem, E. Zehavi, and Y. Yaffe, "Multichannel opportunistic carrier sensing for stable channel access control in cognitive radio systems," IEEE Journal on Selected Areas in Communications, vol. 30, no. 1, pp. 82-95, January 2012.
- O. Naparstek and A. Leshem, "Bounds on the expected optimal channel assignment in rayleigh channels," in 2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), June 2012, pp. 294-298.
- C. Isheden and G. P. Fettweis, "Energy-efficient multi-carrier link adaptation with sum rate-dependent circuit power," in 2010 IEEE Global Telecommunications Conference GLOBECOM 2010, Dec 2010, pp. 1-6.
- Z. Chong and E. Jorswieck, "Energy-efficient power control for mimo time-varying channels," in 2011 IEEE Online Conference on Green Communications, Sept 2011, pp. 92-97.
- D. Goodman and N. Mandayam, "Power control for wireless data," IEEE Personal Communications, vol. 7, no. 2, pp. 48-54, Apr 2000.
- C. U. Saraydar, N. B. Mandayam, and D. J. Goodman, "Pricing and power control in a multicell wireless data network," IEEE Journal on Selected Areas in Communications, vol. 19, no. 10, pp. 1883-1892, Oct 2001.
- F. Meshkati, H. V. Poor, S. C. Schwartz, and N. B. Mandayam, "An energy-efficient approach to power control and receiver design in wireless data networks," IEEE Transactions on Communications, vol. 53, no. 11, pp. 1885-1894, Nov 2005.
- S. Lasaulce, Y. Hayel, R. E. Azouzi, and M. Debbah, "Introducing hierarchy in energy games," IEEE Transactions on Wireless Commu- nications, vol. 8, no. 7, pp. 3833-3843, July 2009.
- M. L. Treust and S. Lasaulce, "A repeated game formulation of energy- efficient decentralized power control," IEEE Transactions on Wireless Communications, vol. 9, no. 9, pp. 2860-2869, September 2010.
- S. Buzzi, H. V. Poor, and A. Zappone, "Transmitter waveform and widely linear receiver design: Noncooperative games for wireless multiple-access networks," IEEE Transactions on Information Theory, vol. 56, no. 10, pp. 4874-4892, Oct 2010.
- S. Buzzi, G. Colavolpe, D. Saturnino, and A. Zappone, "Potential games for energy-efficient power control and subcarrier allocation in uplink multicell ofdma systems," IEEE Journal of Selected Topics in Signal Processing, vol. 6, no. 2, pp. 89-103, April 2012.
- E. V. Belmega and S. Lasaulce, "Energy-efficient precoding for multiple- antenna terminals," IEEE Transactions on Signal Processing, vol. 59, no. 1, pp. 329-340, Jan 2011.
- G. Miao, N. Himayat, G. Y. Li, and S. Talwar, "Distributed interference- aware energy-efficient power optimization," IEEE Transactions on Wire- less Communications, vol. 10, no. 4, pp. 1323-1333, April 2011.
- M. M. Butt and E. A. Jorswieck, "Maximizing system energy efficiency by exploiting multiuser diversity and loss tolerance of the applications," IEEE Transactions on Wireless Communications, vol. 12, no. 9, pp. 4392-4401, September 2013.
- A. Zappone, Z. Chong, E. A. Jorswieck, and S. Buzzi, "Energy- aware competitive power control in relay-assisted interference wireless networks," IEEE Transactions on Wireless Communications, vol. 12, no. 4, pp. 1860-1871, April 2013.
- A. Leshem and E. Zehavi, "Smart carrier sensing for distributed com- putation of the generalized nash bargaining solution," in 2011 17th International Conference on Digital Signal Processing (DSP), July 2011, pp. 1-5.
- E. Zehavi and A. Leshem, "Bargaining solution for partial orthogonal transmission over frequency selective interference channel," in 2011 IEEE International Symposium on Information Theory Proceedings, July 2011, pp. 2701-2705.
- Z. Han, Z. Ji, and K. J. R. Liu, "Fair multiuser channel allocation for ofdma networks using nash bargaining solutions and coalitions," IEEE Transactions on Communications, vol. 53, no. 8, pp. 1366-1376, Aug 2005.
- K. Cohen, A. Leshem, and E. Zehavi, "Game theoretic aspects of the multi-channel aloha protocol in cognitive radio networks," IEEE Journal on Selected Areas in Communications, vol. 31, no. 11, pp. 2276-2288, November 2013.
- K. Cohen and A. Leshem, "Distributed throughput maximization for multi-channel aloha networks," in 2013 5th IEEE International Work- shop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), Dec 2013, pp. 456-459.
- H. W. Kuhn and B. Yaw, "The hungarian method for the assignment problem," Naval Res. Logist. Quart, pp. 83-97, 1955.
- O. Naparstek and A. Leshem, "Fully distributed auction algorithm for spectrum sharing in unlicensed bands," in 2011 4th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Pro- cessing (CAMSAP), Dec 2011, pp. 233-236.
- --, "Fully distributed optimal channel assignment for open spectrum access," IEEE Transactions on Signal Processing, vol. 62, no. 2, pp. 283-294, Jan 2014.
- D. P. Bertsekas, "The auction algorithm: A distributed relaxation method for the assignment problem," Annals of Operations Research, vol. 14, no. 1, pp. 105-123, Dec 1988. [Online]. Available: https://doi.org/10.1007/BF02186476
- A. Zappone, E. Jorswieck, and A. Leshem, "Distributed resource allo- cation for energy efficiency in mimo ofdma wireless networks," IEEE Journal on Selected Areas in Communications, vol. 34, no. 12, pp. 3451- 3465, Dec 2016.
- S. M. Betz and H. V. Poor, "Energy efficient communications in cdma networks: A game theoretic analysis considering operating costs," IEEE Transactions on Signal Processing, vol. 56, no. 10, pp. 5181-5190, Oct 2008.
- C. Isheden, Z. Chong, E. Jorswieck, and G. Fettweis, "Framework for link-level energy efficiency optimization with informed transmitter," IEEE Transactions on Wireless Communications, vol. 11, no. 8, pp. 2946-2957, August 2012.
- Q. Zhao and B. M. Sadler, "A survey of dynamic spectrum access," IEEE Signal Processing Magazine, vol. 24, no. 3, pp. 79-89, May 2007.
- O. Landsiedel, K. Wehrle, and S. Gotz, "Accurate prediction of power consumption in sensor networks," in The Second IEEE Workshop on Embedded Networked Sensors, 2005. EmNetS-II., May 2005, pp. 37- 44.
- P. Erdős and A. Rényi, "On random matrices II," Studia Sci. Math. Hungar, pp. 459-464, 1968.
- R. Motwani, "Average-case analysis of algorithms for matchings and related problems," J. ACM, vol. 41, no. 6, pp. 1329-1356, Nov. 1994. [Online]. Available: http://doi.acm.org/10.1145/195613.195663
- O. Naparstek and A. Leshem, "Expected time complexity of the push- relabel algorithm for maximal bipartite matching on random graphs," Random Structures & Algorithms, vol. 48, no. 2, pp. 384-395, March 2016.
- T. Cover and J. Thomas, Elements of information theory. Wiley Online Library, 1991.
- B. Arnold, N. Balakrishnan, and H. Nagaraja, A First Course in Order Statistics. SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104: Classics in Applied Mathematics, Society for Industrial and Applied Mathematics, 1992.
- Q. Zhao and L. Tong, "Opportunistic carrier sensing for energy-efficient information retrieval in sensor networks," EURASIP Journal on Wireless Communications and Networking, vol. 2005, no. 2, p. 125040, Apr 2005. [Online]. Available: https://doi.org/10.1155/WCN.2005.231
- C. Berge, "Two theorems in graph theory," Proceedings of the National Academy of Sciences of the United States of America, vol. 43, no. 9, pp. 842-844, 1957.
- M. Falk, "A note on uniform asymptotic normality of intermediate order statistics," Annals of the Institute of Statistical Mathematics, vol. 41, no. 1, pp. 19-29, Mar 1989.