Abstract
In this paper, to minimize the transmission power of cognitive users in underlay cognitive radio networks, a robust power control algorithm is proposed considering the uncertain channel gains. To deal with the uncertainty, we present an opportunistic power control strategy, i.e., the outage probability of all cognitive users and primary users should be reduced below their predefined thresholds. The strategy is the joint design of primary users’ communication protection and cognitive users’ optimal power allocation. A chance constraint robust optimization approach is applied, which can transform the uncertain problem into a deterministic problem. Then, a distributed probabilistic power algorithm is introduced, which ensures the optimization of cognitive users’ power allocation based on the standard interference function and restricts the interference at primary receivers by adjusting the maximum transmission power of cognitive users. Moreover, the admission control is introduced to exploit the network resources more effectively. Numerical results show the convergence and effectiveness of the proposed robust distributed power control algorithm.
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References
Akyildiz IF, Lee W-Y, Vuran MC, Mohanty S (2006) Next generation/dynamic spectrum access/cognitive radio wireless networks: a survey. Comput Netw 50(13):2127–2159
Cao X, Cheng P, Chen J, Ge S, Cheng Y, Sun Y (2014) Cognitive radio based state estimation in cyber-physical systems. IEEE J Sel Areas Commun 32(3):489–502
Sun S, Di J, Ni W (2010) Distributed power control based on convex optimization in cognitive radio networks, International Conference on Wireless Communications and Signal Processing
Ghasemi A, Sousa ES (2007) Fundamental limits of spectrum-sharing in fading environments. IEEE Trans Wirel Commun 6(2):649–658
Goldsmith A, Jafar SA, Maric I, Srinivasa S (2009) Breaking spectrum gridlock with cognitive radios: An information theoretic perspective. IEEE Proc 97(5):894–914
Kim D, Le LB, Hossain E (2008) Joint rate and power allocation for cognitive radios in dynamic spectrum access environment. IEEE Trans Wirel Commun 7(12):5517–5527
Cheng P, Deng R, Chen J (2012) Energy-efficient Cooperative Spectrum Sensing in Sensor-aided Cognitive Radio Networks. IEEE Wirel Commun Mag 19(6):100–105
Scutari G, Palomar DP, Pang J-S, Facchinei F (2009) Flexible design of cognitive radio wireless systems: From game theory to variational inequality theory. IEEE Signal Process Mag 26(5):107–123
Aharon B-T, Arkadi N (2002) Robust optimization-methodology and applications. Math Prog Ser B 92(3):453–480
Aharon B-T, Laurent EG, Arkadi N (2009) Robust Optimization, Princeton University Press
Zheng G, Wong K-K, Ottersten B (2009) Robust cognitive beamforming with bounded channel uncertainties. IEEE Trans Signal Process 57(12):4871–4881
Yang K, Wu Y, Huang J, Wang X, Verdu S (2008) Distributed robust optimization for communication networks. IEEE Proc Infocom:1157–1165
Sun S, Ni W, Zhu Y (2011) Robust power control in cognitive radio networks: a distributed way. IEEE Int Conf Commun:1–6
Tan CW, Palomar DP, Chiang M (2009) Energy-robustness tradeoff in cellular network power control. IEEE/ACM Trans Netw 17(3):912–925
Parsaeefard S, Sharafat AR, Rasti M (2012) Robust worst-Case interference control in underlay cognitive radio networks. IEEE Trans Vehiclar Technol 61(8):3731–3745
Parsaeefard S, Sharafat AR, Rasti M (2013) Robust distributed power control in cognitive radio networks. IEEE Trans Mobile Comput 12(4):609–620
Parsaeefard S, Sharafat AR, Rasti M (2010) Robust probabilistic distributed power allocation by chance constraint approach, In: 21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, pp 2162–2167
Nemirovski A, Shapiro A (2006) Convex approximations of chance constrained programs. SIAM J Optim 17(4):969–996
Aharon B-T, Arkadi N (2008) Selected topics in robust convex optimization. Math Program 112:125–158
Yates RD (1995) A framework for uplink power control in cellular radio systems. IEEE J Sel Areas Commun 17(7):1341–1347
Acknowledgments
The work was supported partly by the National Natural Science Foundation of China (61473247, 61104033,61203023,61172095,61203023), the National Basic Research Program of China (2012CB720000), the Natural Science Foundation of Hebei Province (F2012203109, F2012203126, F2013203092, E2014203122).
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Liu, Z., Wang, P., Xia, Y. et al. Chance-constraint optimization of power control in cognitive radio networks. Peer-to-Peer Netw. Appl. 9, 245–253 (2016). https://doi.org/10.1007/s12083-014-0325-8
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DOI: https://doi.org/10.1007/s12083-014-0325-8