近年來,多天線(MIMO)和毫微微蜂窩式基地台(femtocell)已成為下一代行 動通訊中的重要技術,這兩項技術被應用在 3GPP 的長期演進技術(LTE)、全球 互通微波系統(WiMAX)及 IMT-Advanced。多天線造就了更高的頻寬,也造成 了離峰時段下高能源消耗問題。此研究提供了多天線毫微微蜂窩式基地台在節 能上的解決方案,該方案同時考量到服務的保證和自由的服務選取(selection)。 藉著演化賽局的運作,可以幫助每個獨立的基地台選擇對自己最有利的最佳策 略,並控制多天線的每個分支天線(branch)該採取的能源水準。本研究在模擬 中採用了 A 級和 B 級兩種不同的放大器元件。藉由此與暴力法來進行比較, 在 A 級放大器的例子中配置隨機位置的行動裝置後,大部分的求解表現都可達 到最佳解,而少部分的求解表現則是極接近最佳解。

Recently, MIMO and femtocell have become two key technologies in next-generation cellular communications such as 3GPP-LTE, WiMAX and IMT-Advanced. MIMO supports high throughput, but causes high pollution during off-peak time. I provide a solution to save power on MIMO-femtocell systems supporting a quality guarantee and free selection. By adopting evolutionary game theory, each base station can find a best response strategy to control the power on MIMO branches (sub-antennas in MIMO). In addition, I choose different antenna designs with different amplifiers, such as Class A and B. In the simulations with random mobile location inputs, most output solutions (total payoff) are found to be global optimal solutions and others are close to it.

[1] 3GPP TR 25.866-900, Specification Group Radio Access Network; 1.28 Mcps TDD Home Node B (HNB) study item (Release 9), Dec. 2009.
[2] 3GPP TS 36.300, Evolved Universal Terrestrial Radio Access (E-UTRA) and Evolved Universal Terrestrial Radio Access Network (E-UTRAN), Overall Description, Stage 2, Mar. 2012.
[3] Adrian Agustin, Josep Vidal, Olga Munoz-Medina, Javier R. Fonollosa, “Decentralized Weighted Sum Rate Maximization in MIMO-OFDMA Femtocell Networks,” IEEE Global Communications Conference, pp. 270-274, Dec. 2011.
[4] Alain Sibille, Claude Oestges, Alberto Zanella, MIMO from Theory to Implementation, Academic Press, Nov. 2010.
[5] An He, Srikathyayani Srikanteswara, Kyung Kyoon Bae, Timothy R. Newman, Jeffrey H. Reed, William H. Tranter, “Power Consumption Minimization for MIMO Systems – A Cognitive Radio Approach,” IEEE Journal on Selected Area in Communications, Vol. 29, No. 2, pp. 269-479, Feb. 2011.
[6] Beibei Wang, K. J. Ray Liu, T. Charles Clancy, “Evolutionary Cooperative Spectrum Sensing Game: How to Collaborate?” IEEE Transactions on Communications, Vol. 58, No. 3, pp. 890-899, Mar. 2010.
[7] Bruce A. Fette, Cognitive Radio Technology, 2nd ed., Academic Press.
[8] Christian Montet, Daniel Serra, Game Theory and Economics, Palagrave Macmillan, Dec. 2003.
[9] Dennis G. Zill, Michael R. Cullen, Advanced Engineering Mathematics, 4th ed., Jones and Bartlett Press, 2011.
[10] Donald A. Neamen, Microelectronics: Circuit Analysis and Design, 3rd ed., McGRAW.HILL Press.
[11]Dusit Niyato and Ekram Hossain, “Dynamics of Network Selection in Heterogeneous Wireless Networks: An evolutionary game approach,” IEEE Transactions on Vehicular Technology, Vol. 58, No. 4, pp. 2008-2017, May 2009.
[12] E. N. Barron, Game Theory: An Introduction, Wiley Press, 2007.
[13] Eunsung Oh, Bhaskar Krishnamachari, “Energy Savings Through Dynamic Base Station Switching in Cellular Wireless Access Network,” IEEE Global Telecommun. Conference, Dec. 2010.
[14]Fabio Dercole, Sergio Rinaldi, Analysis of Evolutionary Processes: The Adaptive Dynamics Approach and Its Applications, Princeton Press, 2008.
[15]Fernando Vega-Redondo, Economics and the Theory of Games, Cambridge University Press, 2003.
[16]Hamidou Timbine, Eitan Altman, Rachid ElAzouzi, William H. Sandholm, “Evolutionary Game Dynamics with Migration for Hybrid Power Control in Wireless Communications,” IEEE Conference on Decision and Control, Dec. 2008.
[17]Masaharu Hata,”Empirical Formula for Propagation Loss in Land Mobile Radio Services,” IEEE Transactions on Vehicular Technology, Vol. 29, No. 3, pp. 317–325, 1980.
[18] Hsin-Hsing Liao, Hao Jiang, Payman Shajani, Joseph King, Arya Behzad, “A Fully Integrated 2x2 Power Amplifier for Dual Band MIMO 802.11n WLAN Applications Using SiGe HBT Technology,” IEEE Journal of Solid-State Cricuit, Vol. 44, No. 5, May 2009.
[19] IEEE 802.11 Task Group, IEEE Standard for Information Technology –
Telecommunications and Information Exchange between Systems – Local
and Metropolitan Area Networks – Specific Requirements – Part 11:
Wireless LAN Medium Access Control (MAC) and Physical Layer (PHY) Specifications, IEEE, Jan. 2007.
[20] IEEE 802.16e Task Group, IEEE Standard for Local and Metropolitan Area
Networks – Part 16: Air Interface for Fixed and Mobile Broadband Wireless
Access Systems – Amendment 2: Physical and Medium Access Control
Layers for Combined Fixed and Mobile Operation in Licensed Bands and Corrigendum 1, IEEE P802.16e/D12, Feb. 2006.
[21] IEEE 802.16m-09/0034r3, IEEE 802.16m System Description Document, May 2010.
[22] J. Cullen, Radioframe Presentation, Femtocell Europe 2008, London, Uk, Jan. 2008.
[23] James R. Brannan, William E. Boyce, Differential Equations: An Introduction to Modern Methods and Applications, Wiley, 2007.
[24] Jian-Jia Chen, Tei-Wei Kuo, and Hsueh-I Lu, “Power-Saving Scheduling for Weakly Dynamic Voltage Scaling Devices,” Workshop on Algorithms and Data Structures, No. 3608 in LNCS, pp. 338–349, 2005.
[25] Jie Zhang, Guillaume de la Roche, Femtocells: Technologies and Deployment, Wiley Press, 2010.
[26]Jorgen W. Weibull, Evolutionary Game Theory, the MIT Press, Cambridge, Massachusetts, London, England.
[27]Josef Hofbauer and Karl Sigmund, Evolutionary Games and Population Dynamics, Cambridge University Press, United Kingdom, 2002.
[28] Kun Zhu, Dusit Niyato, and Ping Wang, ” Network Selection in Heterogeneous Wireless Networks: Evolution with Incomplete Information,” IEEE Wireless Communications and Networking Conference, Apr. 2010.
[29]Martin A. Nowak, Evolutionary Dynamics: Exploring the Equations of Life, The Belknap Press of Havard University Press, Cambridge, Massachusetts, and London, England, 2006.
[30] Martin J. Osborne, An Introduction to Game Theory, Oxford University Press, 2009.
[31]Michael R. Caputo, Foundations of Dynamic Economic Analysis: Optimal Control Theory and Applications, Cambridge University Press, United Kingdom, 2005.
[32] Mischa Dohler, Yonghui Li, Cooperative Communications Hardware, Channel and PHY, Wiley, Apr. 2010.
[33] O. Munoz-Medina, J. Vidal, A. Agustin, A.Pascual-Iserte and S. Barbarossa, “Coordinated MIMO Precoding for Power Minimization in Femtocell Systems,” IEEE Global Communications Conference, pp. 264-269, Dec. 2011.
[34] Paul H. Young, Electronic Communication Techniques, 5th ed., Prentice Hall, Aug. 2003.
[35] Peter V. O’Neil, Advanced Engineering Mathematics, Thomson Press, 2007.
[36]Richard Smalley, Richard Smalley on Energy, McMurtry Auditorium, Rice
University, Jan. 2003.
http://www.media.rice.edu/media/NewsBot.asp?MODE=VIEW&ID=2089&SnI D=943109423
[37] Robert Boylestad, Louis Nashelsky, Electronic Devices and Circuit Theory, 4th ed., Prentice-Hall Press.
[38] Robert L. Borrelli, Courtney S. Coleman, Differential Equations: A Modeling Perspective, 2nd ed., Wiley Press, 2004.
[39] Sassan Ahmadi, Mobile WiMAX: A Systems Approach to Understanding IEEE 802.16m Radio Access Technology, Academic Press.
[40] Sheng Zhou, Jie Gong, Zexi Yang, Zhisheng Niu and Peng Yang, “Green Mobile Access Network with Dynamic Base Station Energy Saving,” ACM MobiCom' 09 poster, Sept. 2009.
[41]Syed Ahson, Mohammad Ilyas, WiMAX: Standard and Security, CRC Press Taylor & Francis Group.
[42]Syed Faraz Hasan, Nazmul Haq Siddique and Shyam Chakraborty, “Femtocell versus WiFi – A Survey and Comparison of Architecture and Performance,” IEEE Wireless VITAE, pp. 916-920, 2009.
[43]T. Alpcan and T. Basar, “A Hybrid Noncooperative Game Model for Wireless Communications”, Annals of the International Society of Dynamic Games, Vol. 9, pp. 411-429, 2007.
[44]Fernando Vega-Redondo, Evolution in Games: Theory and Economic Applications, Oxford University Press, 1995.
[45] Vikram Chandrasekhar and Jeffrey G. Andrews, “Femtocell Networks: A Survey,” IEEE communications Magazine, Vol. 46, Issue 9, Sept. 2008.
[46] William E. Boyce, Richard C. DiPrima, Elementary Differential Equations and Boundary Value Problems, 5th ed., John Wiley and Sons, Inc, 1992.
[47]Yong Soo Cho, Jaekwon Kim, Won Young Yang, Chung G. Kang, MIMO-OFDM Wireless Communications with MATLAB, Wiley-IEEE Press, Nov. 2010.