Distributed optimal beamformers for cognitive radios robust to channel uncertainties

IEEE Transactions on Signal Processing

Volumn 60, Issue 12, 2012, Pages 6495-6508

  Zhang, Yu ^a   Dallanese, Emiliano ^a   Giannakis, Georgios B ^a  

^a University of Minnesota   (United States)

Author keywords

Beamforming; channel uncertainty; cognitive radios; distributed algorithms; MIMO wireless networks; robust optimization

Indexed keywords

BEAMFORMERS; CHANNEL UNCERTAINTIES; CONVEX APPROXIMATION; COORDINATE ASCENT; DATA STREAM; DISTRIBUTED IMPLEMENTATION; MULTI-INPUT MULTI-OUTPUT; NUMERICAL TESTS; OPTIMAL BEAMFORMING; OPTIMIZATION PROBLEMS; PEER NODES; PU SYSTEMS; ROBUST OPTIMIZATION; SPATIAL MULTIPLEXING; STATIONARY POINTS; TRANSMISSION RATES;

APPROXIMATION ALGORITHMS; COGNITIVE RADIO; MIMO SYSTEMS; OPTIMIZATION; PARALLEL ALGORITHMS; RADIO SYSTEMS;

BEAMFORMING;

EID: 84867605894     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2012.2218240     Document Type: Article

References (42)

1. 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. (Pubitemid 46840190)
2. S.-J. Kim, E. Dall'Anese, and G. B. Giannakis, "Cooperative spectrum sensing for cognitive radios using Kriged Kalman filtering," IEEE J. Sel. Topics Signal Process., vol. 5, no. 1, pp. 24-36, Feb. 2011.
3. J. Font-Segura and X. Wang, "GLRT-based spectrum sensing for cognitive radio with prior information," IEEE Trans. Commun., vol. 58, no. 7, pp. 2137-2146, Jul. 2010.
4. S. S. Christensen, R. Agarwal, E. D. Carvalho, and J. M. Cioffi, "Weighted sum-rate maximization using weighted MMSE for MIMO-BC beamforming design," IEEE Trans. Wireless Commun., vol. 7, no. 12, pp. 4792-4799, Dec. 2008.
5. M. Razaviyayn, M. Sanjabi, and Z.-Q. Luo, "Linear transceiver design for interference alignment: Complexity and computation," IEEE Trans. Inf. Theory, vol. 58, no. 5, pp. 2896-2910, May 2012.
6. M. Ding and S. D. Blostein, "MIMO minimum total MSE transceiver design with imperfect CSI at both ends," IEEE Trans. Signal Process., vol. 57, no. 3, pp. 1141-1150, Mar. 2009.
7. N. Vucic, H. Boche, and S. Shi, "Robust transceiver optimization in downlinkmultiuserMIMOsystems," IEEE Trans. Signal Process., vol. 57, no. 9, pp. 3576-3587, Sep. 2009.
8. R. Zhang and Y.-C. Liang, "Exploiting multi-antennas for opportunistic spectrum sharing in cognitive radio networks," IEEE J. Sel. Topics Signal Process., vol. 2, no. 1, pp. 88-102, Feb. 2008. (Pubitemid 351392290)
9. L. Zhang, Y.-C. Liang, and Y. Xin, "Joint beamforming and power allocation for multiple access channels in cognitive radio networks," IEEE J. Sel. Areas Commun., vol. 26, no. 1, pp. 38-51, Jan. 2008.
10. S.-J.Kim and G. B.Giannakis, "Optimal resource allocation forMIMO ad hoc cognitive radio networks," IEEE Trans. Inf. Theory, vol. 57, no. 5, pp. 3117-3131, May 2011.
11. G. Scutari and D. P. Palomar, "MIMO cognitive radio: A game-theoretical approach," IEEE Trans. Signal Process., vol. 58, no. 2, pp. 761-780, Feb. 2010.
12. E. Dall'Anese, S.-J. Kim, G. B. Giannakis, and S. Pupolin, "Power control for cognitive radio networks under channel uncertainty," IEEE Trans. Wireless Commun., vol. 10, no. 10, pp. 3541-3551, Oct. 2011.
13. E. A. Gharavol, Y.-C. Liang, and K. Mouthaan, "Robust downlink beamforming in multiuser MISO cognitive radio networks with imperfect channel-state information," IEEE Trans. Veh. Technol., vol. 59, no. 6, pp. 2852-2860, Jul. 2010.
14. G. Zheng, K.-K. Wong, and B. Ottersten, "Robust cognitive beamforming with bounded channel uncertainties," IEEE Trans. Signal Process., vol. 57, no. 12, pp. 4871-4881, Dec. 2009.
15. E. A. Gharavol, Y.-C. Liang, and K. Mouthaan, "Robust linear transceiver design in MIMO ad hoc cognitive radio networks with imperfect channel state information," IEEE Trans. Wireless Commun., vol. 10, no. 5, pp. 1448-1457, May 2011.
16. T. Al-Khasib, M. Shenouda, and L. Lampee, "Dynamic spectrum management for multiple-antenna cognitive radio systems: Designs with imperfect CSI," IEEE Trans. Wireless Commun., vol. 10, no. 9, pp. 2850-2859, Sep. 2011.
17. J. Wang, G. Scutari, and D. P. Palomar, "Robust MIMO cognitive radio via game theory," IEEE Trans. Signal Process., vol. 59, no. 3, pp. 1183-1201, Mar. 2011.
18. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.
19. D. P. Bertsekas and J. N. Tsitsiklis, Parallel and Distributed Computation: Numerical Methods. Belmont, MA: Athena Scientific, 1997.
20. J. P. Kermoal, L. Schumacher, K. I. Pedersen, P. E. Mogensen, and F. Frederiksen, "A stochastic MIMO radio channel model with experimental validation," IEEE J. Sel. Areas Commun., vol. 20, no. 6, pp. 1211-1226, Aug. 2002. (Pubitemid 34959742)
21. R. T. Rockafellar, "Augmented Lagrangians and applications of the proximal point algorithms in convex programming," Math. Oper. Res., vol. 1, pp. 97-116, 1976.
22. D. P. Palomar, J. M. Cioffi, and M. A. Lagunas, "Joint Tx-Rx beamforming design for multicarrier MIMO channels: A unified framework for convex optimization," IEEE Trans. Signal Process., vol. 51, no. 9, pp. 2381-2401, Sep. 2003.
23. C.W. Tan, M. Chiang, and R. Srikant, "Maximizing sum rate and minimizing MSE on multiuser downlink: Optimality, fast algorithms and equivalence via max-min SINR," IEEE Trans. Signal Process., vol. 59, no. 12, pp. 6127-6143, Dec. 2011.
24. L. Zhang, Y.-C. Liang, Y. Xin, and H. V. Poor, "Robust cognitive beamforming with partial channel state information," IEEE Trans. Wireless Commun., vol. 8, no. 8, pp. 4143-4153, Aug. 2009.
25. M. Biguesh and A. B. Gershman, "Training-based MIMO channel estimation: A study of estimator tradeoffs and optimal training signals," IEEE Trans. Signal Process., vol. 54, no. 3, pp. 884-893, Mar. 2006. (Pubitemid 43280567)
26. M. Shenouda and T. N. Davidson, "On the design of linear transceivers for multiuser systems with channel uncertainty," IEEE J. Sel. Areas Commun., vol. 26, no. 6, pp. 1015-1024, Aug. 2008.
27. A. L. Yuille and A. Rangarajan, "The concave-convex procedure," Neural Comput., vol. 15, no. 4, pp. 915-936, Apr. 2003. (Pubitemid 37049812)
28. D. R. Hunter and K. Lange, "A tutorial on MM algorithms," Amer. Stat., vol. 58, no. 1, pp. 30-37, Feb. 2004. (Pubitemid 38260327)
29. D. P. Bertsekas, Nonlinear Programming, 2nd ed. Belmont, MA: Athena Scientific, 1999.
30. E. Dall'Anese, S.-J. Kim, and G. B. Giannakis, "Channel gain map tracking via distributed Kriging," IEEE Trans. Veh. Technol., vol. 60, no. 3, pp. 1205-1211, Mar. 2011.
31. E. Serpedin and K. Qaraqe, "A new approach for time synchronization in wireless sensor networks: Pairwise broadcast synchronization," IEEE Trans. Wireless Commun., vol. 7, no. 9, pp. 3318-3322, Sep. 2008.
32. D. Zennaro, E. Dall'Anese, T. Erseghe, and L. Vangelista, "Fast clock synchronization in wireless sensor networks via ADMM-based consensus," in Proc. Int. Symp.Mod.Opt. inMobile, Ad Hoc and Wireless Netw., Princeton, NJ, May 2011, pp. 148-153.
33. C. H. Rentel and T. Kunz, "A mutual network synchronization method for wireless ad hoc and sensor networks," IEEE Trans. Mobile Comput., vol. 7, no. 5, pp. 633-646, 2008.
34. D. P. Bertsekas, Convex Optimization Theory. Belmont,MA: Athena Scientific, 2009.
35. L. Grippo and M. Sciandrone, "On the convergence of the block nonlinear Gauss-Seidel method under convex constraints," Oper. Res. Lett., vol. 26, no. 3, pp. 127-136, Apr. 2000. (Pubitemid 30564332)
36. D. P. Palomar, "Convex primal decomposition for multicarrier linear MIMO transceivers," IEEE Trans. Signal Process., vol. 53, no. 12, pp. 4661-4674, Dec. 2005. (Pubitemid 41800402)
37. M. Grant and S. Boyd, CVX: Matlab Software for Disciplined Convex Programming. ver. 1.21, Apr. 2011 [Online]. Available: http://cvxr. com/cvx/
38. J. F. Sturm, "Using SeDuMi 1.02, A MATLAB toolbox for optimization over symmetric cones," Optim. Meth. Softw., vol. 11-12, pp. 625-653, Aug. 1999.
39. J. R. Magnus and H. Neudecker, Matrix Differential Calculus With Applications in Statistics and Economics, 2nd ed. New York: Wiley, 1999.
40. E. H. Lieb, "Convex trace functions and the Wigner-Yanase-Dyson conjecture," Adv. Math., vol. 11, no. 3, pp. 267-288, Dec. 1973.
41. L. Mirsky, "On the trace of matrix products," Mathematische Nachrichten, vol. 20, no. 3-6, pp. 171-174, 1959.
42. C. Davis, "All convex invariant functions of Hermitian matrices," Arch. Math., vol. 8, no. 4, pp. 276-278, Feb. 1957.