Flexible design of cognitive radio wireless systems

The goal of this article is to show how many challenging unsolved resource allocation problems in the emerging field of cognitive radio (CR) networks fit naturally either in the game theoretical paradigm or in the more general theory of VI. This provides us with all the mathematical tools necessary to analyze the proposed equilibrium problems for CR systems (e.g., existence and uniqueness of the solution) and to devise distributed algorithms along with their convergence properties.

[1]  P. Green,et al.  Communicrostic no. 45 , 1986 .

[2]  Wei Yu,et al.  Distributed multiuser power control for digital subscriber lines , 2002, IEEE J. Sel. Areas Commun..

[3]  Daniel Pérez Palomar,et al.  MIMO Cognitive Radio: A Game Theoretical Approach , 2008, IEEE Transactions on Signal Processing.

[4]  Francisco Facchinei,et al.  Generalized Nash Equilibrium Problems , 2010, Ann. Oper. Res..

[5]  V. Tarokh,et al.  Cognitive radio networks , 2008, IEEE Signal Processing Magazine.

[6]  E. Vandamme.  Stability and perfection of nash equilibria , 1987 .

[7]  Zhi-Quan Luo,et al.  Spectrum Management for Interference-Limited Multiuser Communication Systems , 2009, IEEE Transactions on Information Theory.

[8]  Daniel Pérez Palomar,et al.  Practical algorithms for a family of waterfilling solutions , 2005, IEEE Transactions on Signal Processing.

[9]  L. Shapley,et al.  REGULAR ARTICLEPotential Games , 1996 .

[10]  Joseph Mitola.  Cognitive Radio for Flexible Mobile Multimedia Communications , 2001, Mob. Networks Appl..

[11]  Altannar Chinchuluun,et al.  Game Theory Models and Their Applications in Inventory Management and Supply Chain , 2008 .

[12]  Sergio Barbarossa,et al.  Optimal Linear Precoding Strategies for Wideband Non-Cooperative Systems Based on Game Theory—Part II: Algorithms , 2007, IEEE Transactions on Signal Processing.

[13]  Sergio Barbarossa,et al.  IEEE TRANSACTIONS ON SIGNAL PROCESSING (ACCEPTED) 1 The MIMO Iterative Waterfilling Algorithm , 2022 .

[14]  F. Facchinei,et al.  Finite-Dimensional Variational Inequalities and Complementarity Problems , 2003 .

[15]  T. Başar,et al.  Dynamic Noncooperative Game Theory, 2nd Edition , 1998 .

[16]  Marc Moonen,et al.  Autonomous Spectrum Balancing for Digital Subscriber Lines , 2007, IEEE Transactions on Signal Processing.

[17]  Hüseyin Arslan,et al.  A survey of spectrum sensing algorithms for cognitive radio applications , 2009, IEEE Communications Surveys & Tutorials.

[18]  Shuguang Cui,et al.  Price-Based Spectrum Management in Cognitive Radio Networks , 2007, IEEE Journal of Selected Topics in Signal Processing.

[19]  Sergio Barbarossa,et al.  Competitive Design of Multiuser MIMO Systems Based on Game Theory: A Unified View , 2008, IEEE Journal on Selected Areas in Communications.

[20]  Ariel Rubinstein,et al.  A Course in Game Theory , 1995 .

[21]  Sergio Barbarossa,et al.  Optimal Linear Precoding Strategies for Wideband Noncooperative Systems Based on Game Theory—Part I: Nash Equilibria , 2007, IEEE Transactions on Signal Processing.

[22]  Abhay Parekh,et al.  Spectrum sharing for unlicensed bands , 2005, IEEE Journal on Selected Areas in Communications.

[23]  I. Konnov.  Equilibrium Models and Variational Inequalities , 2013 .

[24]  E. Larsson,et al.  Game theory and the flat-fading gaussian interference channel , 2009, IEEE Signal Processing Magazine.

[25]  V. Tarokh,et al.  Cognitive radio networks , 2008, IEEE Signal Processing Magazine.

[26]  E. Altman,et al.  Equilibrium, Games, and Pricing in Transportation and Telecommunication Networks , 2004 .

[27]  Zhi-Quan Luo,et al.  Analysis of Iterative Waterfilling Algorithm for Multiuser Power Control in Digital Subscriber Lines , 2006, EURASIP J. Adv. Signal Process..

[28]  Daniel Pérez Palomar,et al.  Alternative Distributed Algorithms for Network Utility Maximization: Framework and Applications , 2007, IEEE Transactions on Automatic Control.

[29]  Eitan Altman,et al.  A survey on networking games in telecommunications , 2006, Comput. Oper. Res..

[30]  Erik G. Larsson,et al.  Competition Versus Cooperation on the MISO Interference Channel , 2008, IEEE Journal on Selected Areas in Communications.

[31]  Wei Yu,et al.  Dual methods for nonconvex spectrum optimization of multicarrier systems , 2006, IEEE Transactions on Communications.

[32]  Brian M. Sadler,et al.  A Survey of Dynamic Spectrum Access , 2007, IEEE Signal Processing Magazine.

[33]  Stephen B. Wicker,et al.  Game theory and the design of self-configuring, adaptive wireless networks , 2001, IEEE Commun. Mag..

[34]  Francisco Facchinei,et al.  Design of Cognitive Radio Systems Under Temperature-Interference Constraints: A Variational Inequality Approach , 2010, IEEE Transactions on Signal Processing.

[35]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[36]  J. Nash.  Equilibrium Points in N-Person Games. , 1950, Proceedings of the National Academy of Sciences of the United States of America.

[37]  Michael L. Honig,et al.  Distributed interference compensation for wireless networks , 2006, IEEE Journal on Selected Areas in Communications.

[38]  Zhu Han,et al.  Coalitional game theory for communication networks , 2009, IEEE Signal Processing Magazine.

[39]  Shuguang Cui,et al.  Collaborative wideband sensing for cognitive radios , 2008, IEEE Signal Processing Magazine.

[40]  T. Başar,et al.  Dynamic Noncooperative Game Theory , 1982 .

[41]  Simon Haykin,et al.  Cognitive radio: brain-empowered wireless communications , 2005, IEEE Journal on Selected Areas in Communications.

[42]  Francisco Facchinei,et al.  Distributed Power Allocation With Rate Constraints in Gaussian Parallel Interference Channels , 2007, IEEE Transactions on Information Theory.

[43]  Yang Song,et al.  Equilibrium Efficiency Improvement in MIMO Interference Systems: A Decentralized Stream Control Approach , 2007, IEEE Transactions on Wireless Communications.

[44]  Zhi-Quan Luo,et al.  Dynamic Spectrum Management: Complexity and Duality , 2008, IEEE Journal of Selected Topics in Signal Processing.

[45]  Zhongding Lei,et al.  IEEE 802.22: The first cognitive radio wireless regional area network standard , 2009, IEEE Communications Magazine.

[46]  Andrea J. Goldsmith,et al.  Breaking Spectrum Gridlock With Cognitive Radios: An Information Theoretic Perspective , 2009, Proceedings of the IEEE.

[47]  J. Mitola,et al.  Cognitive radio for flexible mobile multimedia communications , 1999, 1999 IEEE International Workshop on Mobile Multimedia Communications (MoMuC'99) (Cat. No.99EX384).

[48]  John N. Tsitsiklis,et al.  Parallel and distributed computation , 1989 .

[49]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[50]  D. M. Topkis.  Supermodularity and Complementarity , 1998 .

[51]  K. Ramchandran,et al.  Detecting primary receivers for cognitive radio applications , 2005, First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005..

[52]  L. Shapley,et al.  Potential Games , 1994 .

[53]  Sergio Barbarossa,et al.  Simultaneous Iterative Water-Filling for Gaussian Frequency-Selective Interference Channels , 2006, 2006 IEEE International Symposium on Information Theory.

[54]  S. Barbarossa,et al.  Asynchronous Iterative Waterfilling for Gaussian Frequency-Selective Interference Channels: A Unified Framework , 2007, 2007 Information Theory and Applications Workshop.

[55]  A. Leshem,et al.  Game theory and the frequency selective interference channel , 2009, IEEE Signal Processing Magazine.

[56]  Patrick Mitran,et al.  Limits on communications in a cognitive radio channel , 2006, IEEE Communications Magazine.