Quasi-nash equilibria for non-convex distributed power allocation games in cognitive radios

IEEE Transactions on Wireless Communications

Volumn 12, Issue 7, 2013, Pages 3326-3337

  Huang, Xiaoge ^a   Beferull Lozano, Baltasar ^a   Botella, Carmen ^a  

^a UNIVERSITY OF VALENCIA   (Spain)

Author keywords

Cognitive radio; non convex game; quasi Nash equilibrium; variational inequality theory

Indexed keywords

CONSTRAINT QUALIFICATION; DISTRIBUTED POWER-ALLOCATION; FIRST-ORDER OPTIMALITY CONDITION; INTERIOR POINT OPTIMIZATION ALGORITHMS; NON-CONVEX GAME; PERFORMANCE IMPROVEMENTS; VARIATIONAL INEQUALITIES; VARIATIONAL INEQUALITY PROBLEMS;

ALGORITHMS; COGNITIVE RADIO; OPTIMIZATION; RADIO SYSTEMS; TELECOMMUNICATION NETWORKS; VARIATIONAL TECHNIQUES;

GAME THEORY;

EID: 84881370057     PISSN: 15361276     EISSN: None     Source Type: Journal    
DOI: 10.1109/TWC.2013.060413.121158     Document Type: Article

References (46)

1. X. Huang and B. Beferull-Lozano, "Non-cooperative power allocation game with imperfect sensing information for cognitive radio 2012 IEEE International Conf. on Commun.
2. S. Haykin, "Fundamental issues in cognitive radio Available: http://bul.ece.ubc.ca/Simon Haykin Cognitive Radio2007.pdf/.
3. Q. Zhao and A. Swami, "A decision-theoretic framework for opportunistic spectrum access IEEE Trans. Wireless Commun., vol. 14, no. 4, pp. 14-20, Aug. 2007. (Pubitemid 47397728)
4. A. Ghasemi and E. S. Sousa, "Fundamental limits of spectrum sharing in fading environments IEEE Trans. Wireless Commun., vol. 6, no. 2, pp. 649-658, Feb. 2007.
5. X. Kang, Y.-C. Liang, H. Garg, and L. Zhang, "Sensing-based spectrum sharing in cognitive radio networks IEEE Trans. Veh. Technol., vol. 58, no. 8, pp. 4649-4654, Oct. 2009.
6. S. Haykin and P. Setoodeh, "Robust transmit power control for cognitive radio Proc. IEEE, vol. 97, no. 5, pp. 915-939, May 2009.
7. X. Kang, Y.-C. Liang, A. Nallanathan, H. Garg, and R. Zhang, "Optimal power allocation for fading channels in cognitive radio networks: ergodic capacity and outage capacity IEEE Trans. Wireless Commun., vol. 8, no. 2, pp. 940-950, Feb. 2009.
8. G. Scutari, D. Palomar, and S. Barbarossa, "Asynchronous iterative water-filling for gaussian frequency-selective interference channels IEEE Trans. Inf. Theory, vol. 54, no. 7, pp. 2868-2878, July 2008.
9. Y.-C. Liang, Y. Zeng, E. Peh, and A. T. Hoang, "Sensing-throughput tradeoff for cognitive radio networks IEEE Trans. Wireless Commun., vol. 7, no. 4, pp. 1326-1337, Apr. 2008.
10. R. Zhang, X. Kang, and Y.-C. Liang, "Protecting primary users in cognitive radio networks: peak or average interference power constraint?" in Proc. 2009 ICC, pp. 1-5.
11. S. Stotas and A. Nallanathan, "Optimal sensing time and power allocation in multiband cognitive radio networks IEEE Trans. Commun., vol. 59, no. 1, pp. 226-235, Jan. 2011.
12. -, "On the outage capacity of sensing-enhanced spectrum sharing cognitive radio systems in fading channels IEEE Trans. Commun., vol. 59, no. 99, pp. 1-12, 2011.
13. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge University Press, 2003.
14. Z.-Q. Luo and J.-S. Pang, "Analysis of iterative waterfilling algorithm for multiuser power control in digital subscriber lines EURASIP J. Appl. Signal Process., no. 3, pp. 1-10, May 2006.
15. J.-S. Pang, G. Scutari, F. Facchinei, and C. Wang, "Distributed power allocation with rate constraints in Gaussian parallel interference channels IEEE Trans. Inf. Theory, vol. 54, no. 8, pp. 3471-3489, Aug. 2008.
16. G. Scutari, D. Palomar, and S. Barbarossa, "Optimal linear precoding strategies for wideband noncooperative systems based on game theory-part 1: Nash equilibria IEEE Trans. Signal Process., vol. 56, no. 3, pp. 1230-1249, Mar. 2008. (Pubitemid 351386281)
17. -, "Optimal linear precoding strategies for wideband non-cooperative systems based on game theory-part II: algorithms IEEE Trans. Signal Process., vol. 56, no. 3, pp. 1250-1267, Mar. 2008. (Pubitemid 351386282)
18. -, "Asynchronous iterative water-filling for Gaussian frequencyselective interference channels IEEE Trans. Inf. Theory, vol. 54, no. 7, pp. 2868-2878, July 2008.
19. H. Yu, L. Gao, Z. Li, X. Wang, and E. Hossain, "Pricing for uplink power control in cognitive radio networks IEEE Trans. Veh. Technol., vol. 59, no. 4, pp. 1769-1778, May 2010.
20. Z. Ji and K. Liu, "Cognitive radios for dynamic spectrum access-dynamic spectrum sharing: a game theoretical overview IEEE Commun. Mag., vol. 45, no. 5, pp. 88-94, May 2007. (Pubitemid 46796032)
21. G. Scutari, D. Palomar, J.-S. Pang, and F. Facchinei, "Flexible design of cognitive radio wireless systems IEEE Signal Process. Mag., vol. 26, no. 5, pp. 107-123, Sept. 2009.
22. G. Scutari and D. Palomar, "MIMO cognitive radio: a game theoretical approach IEEE Trans. Signal Process., vol. 58, no. 2, pp. 761-780, Feb. 2010.
23. G. Scutari, D. Palomar, F. Facchinei, and J.-S. Pang, "Convex optimization, game theory, and variational inequality theory IEEE Signal Process. Mag., vol. 27, no. 3, pp. 35-49, May 2010.
24. J. Wang, G. Scutari, and D. Palomar, "Robust cognitive radio via game theory in Proc. 2010 IEEE International Symposium on Inf. Theory, pp. 2073-2077.
25. J.-S. Pang, G. Scutari, D. Palomar, and F. Facchinei, "Design of cognitive radio systems under temperature-interference constraints: a variational inequality approach IEEE Trans. Signal Process., vol. 58, no. 6, pp. 3251-3271, Jun. 2010.
26. F. Facchinei and J.-S. Pang, Finite Dimensional Variational Inequalities and Complementarity Problems. Springer-Verlag, 2003.
27. G. Scutari and J.-S. Pang, "Joint sensing and power allocation in nonconvex cognitive radio games: quasi-Nash equilibria in Proc. 2011 International Conference on Digital Signal Processing, pp. 1-8.
28. J. Pang and G. Scutari, "Joint sensing and power allocation in nonconvex cognitive radio games: quasi-Nash equilibria IEEE Trans. Signal Process., no. 99, 2013.
29. G. Scutari and J. Pang, "Joint sensing and power allocation in nonconvex cognitive radio games: Nash equilibria and distributed algorithms IEEE Trans. Inf. Theory, no. 99, 2013.
30. J.-S. Pang and G. Scutari, "Nonconvex games with side constraints Society for Industrial and Applied Mathematics, vol. 21, no. 4, pp. 1491-1522, Dec. 2011.
31. Z. Quan, S. Cui, A. Sayed, and H. Poor, "Optimal multiband joint detection for spectrum sensing in cognitive radio networks IEEE Trans. Signal Process., vol. 57, no. 3, pp. 1128-1140, Mar. 2009.
32. R. Olfati-Saber, J. Fax, and R. Murray, "Consensus and cooperation in networked multi-agent systems Proc. IEEE, vol. 95, no. 1, pp. 215-233, Jan. 2007.
33. H. Urkowitz, "Energy detection of unknown deterministic signals Proc. IEEE, vol. 55, no. 4, pp. 523-531, 1967.
34. D. P. Bertsekas, Convex Analysis and Optimization. Athena Scientific, 2003.
35. J. Abadie, Finite Dimensional Variational Inequalities and Complementarity Problems. North-Holland, 1967.
36. S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, "Distributed optimization and statistical learning via the alternating direction method of multipliers working draft, Jan. 2011.
37. R. A. Waltz, J. L. Morales, J. Noceda, and D. Orban, "An interior algorithm for nonlinear optimization that combines line search and trust region steps Mathematical Programming, vol. 107, no. 3, pp. 391-408, Sept. 2004.
38. R. H. Byrd, M. E. Hribar, and J. Nocedal, "An interior point algorithm for large scale nonlinear programming SIAM J. Optimization, vol. 9, no. 4, pp. 877-900, Dec. 1998.
39. J. Nocedal and S. J. Wright, Numerical Optimization. Springer, 1999.
40. J. Renegar, "A polynomial-time algorithm, based on Newtons method, for linear programming Mathematical Programming, no. 40, pp. 59-93, 1988. (Pubitemid 18561562)
41. K. Anstreicher and J. Vial, "On the convergence of an infeasible primaldual interior point method for convex programming Optimization Methods and Software., pp. 273-283, 1994.
42. P. Boggs and J. Tolle, Sequential Quadratic Programming. Cambridge University Press, 1995.
43. J. T. Betts and J. M. Gablonsky, "A comparison of interior point and SQP methods on optimal control problems Phantom Works Mathematics and Computing Technology, Mar. 2002.
44. Y. Lu and Y. X. Yuan, "An interior-point trust region algorithm for general symmetric cone programming SIAM J. Optimization, vol. 18, no. 1, pp. 65-86, 2007. (Pubitemid 351271321)
45. E. T. S. Institute, "LTE: evolved universal terrestrial radio access (EUTRA), radio frequency (RF) system scenarios, 3GPP TR 36.942 version 10.2.0 release 10 May 2011.
46. J. Hirshleifer, A. Glazer, and D. Hirshleifer, Price Theory and Applications Decisions, Markets, and Information. Cambridge University Press, 2005.