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Price-Based Power Control Algorithm in Cognitive Radio Networks Based on Monotone Optimization
Received date: 2014-03-17
Online published: 2020-10-09
Supported by
The National Natural Science Foundation of China (Nos.61172067 and 61371086);The National High Technology Research and Development Program (863) of China (No.2014AA01A701)
This paper considers a price-based power control problem in the cognitive radio networks (CRNs). The primary user (PU) can admit secondary users (SUs) to access if their interference powers are all under the interference power constraint. In order to access the spectrum, the SUs need to pay for their interference power. The PU first decides the price for each SU to maximize its revenue. Then, each SU controls its transmit power to maximize its revenue based on a non-cooperative game. The interaction between the PU and the SUs is modeled as a Stackelberg game. Using the backward induction, a revenue function of the PU is expressed as a non-convex function of the transmit power of the SUs. To find the optimal price for the PU, we rewrite the revenue maximization problem of the PU as a monotone optimization by variable substitution. Based on the monotone optimization, a novel price-based power control algorithm is proposed. Simulation results show the convergence and the effectiveness of the proposed algorithm compared to the non-uniform pricing algorithm.
Key words： laterally loaded piles; $m$-method; hydraulic head; land deformation; pumping-recovery; circular excavation; back analysis; horizontal displacement; outage performance; heterogeneous circumstance; magnetic resonance imaging (MRI); sparse representation; non-convex; generalized thresholding; amplify-and-forward (AF); beamforming; channel state information (CSI); power control; cognitive radio; monotone optimization; price; Stackelberg game; fairness; supply chain coordination; dictionary updating; alternating direction method; two-level Bregman method with dictionary updating (TBMDU); admission control scheme; heterogeneity; substitution; service parts; last stock; handover service; high-speed train communication; S-clay1 model; undrained compression test; functionally graded materials; cylindrical sandwich panel; low-velocity water entry; cylinder structure; rectangular sandwich plate; simply supported; free vibration; resting-state brain function network; supercavitating; ventilated; dynamic mesh; pitching; wall effect; model network; connection distance minimization; topological property; anatomical distance; underwater glider; nonlinear control; adaptive backstepping; Lyapunov function; cylinder radius; initial velocity; entry angle; soft soil; strain-dependent modulus; common neighbor; video capsule endoscopy (VCE); frame rate; working hours; in vivo experiment
Shu-hui LI , Li-na ZHANG , Ming-hui ZHANG , Xiao-yang HE , Shen-yuan DU , Hua WANG , Qie-gen* LIU , Guang-hua HAN , Yi-sheng ZHAO , Hao ZHANG , Xu-jin PU , Kai-yong HUANG , Bing-quan ZHU , Chen HE , Zhan-cheng PAN , Feng FENG , Qiu-shi CHEN , Guo-zheng YAN , Xiang-lian ZHOU , Hong JI , Geng-xi DAI , Chen HE , Chuan-jing LU , Yin-jie SU , Gang LIU , Ying CHEN , Jian-hua WANG , Jin-jian CHEN , Jian ZHANG , Wen-ming XU , Zhong-hui CHEN , Lin QUAN , Zheng-qiang WANG , Wen-hua CHU , Ling-ge JIANG , Hua-dong LI , Jian-hua WANG , Jun-liang CAO , Xi ZHU , Qi-cai LI , Ling-ge2 JIANG , Zhi-yuan MEI , Bao-heng YAO , Ying-jun ZHANG , Feng WU , Lian LIAN , Yan-li YANG , Jing-hai GONG , Hao GUO , Kun FU , Jun-jie CHEN , Hai-fang LI . Price-Based Power Control Algorithm in Cognitive Radio Networks Based on Monotone Optimization[J]. Journal of Shanghai Jiaotong University(Science), 2015 , 20(6) : 654 -659 . DOI: 10.1007/s12204-015-1673-0
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