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Optimal channel switching in multiuser systems under average capacity constraints
Affiliation:1. School of Mathematics and Information, Ludong University, Yantai, Shandong 264025, PR China;2. School of Mathematical Science, Huaiyin Normal University, Huai’an, Jiangsu 223300, PR China;3. School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, PR China;4. School of Energy and Power Engineering, Dalian University of Technology, Dalian, Liaoning 116024, PR China;1. Department of Industrial System Engineering and Design, Universitat Jaume I, Castellón, Spain;2. Faculty of Electrical Engineering and Information Technology (EIM-E), Paderborn University, Paderborn, Germany;3. Department of Electrical and Electronic Engineering, University of Melbourne, Parkville, Vic. 3010, Australia;1. State Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, 310027, P. R. China;2. School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, SA 5005, Australia;3. College of Engineering and Science, Victoria University, Melbourne, Vic. 8001, Australia;4. Institute of Information and Control, Hangzhou Dianzi University, Hangzhou, 310018, P. R. China
Abstract:In this paper, the optimal channel switching problem is studied for average capacity maximization in the presence of multiple receivers in the communication system. First, the optimal channel switching problem is proposed for average capacity maximization of the communication between the transmitter and the secondary receiver while fulfilling the minimum average capacity requirement of the primary receiver and considering the average and peak power constraints. Then, an alternative equivalent optimization problem is provided and it is shown that the solution of this optimization problem satisfies the constraints with equality. Based on the alternative optimization problem, it is obtained that the optimal channel switching strategy employs at most three communication links in the presence of multiple available channels in the system. In addition, the optimal strategies are specified in terms of the number of channels employed by the transmitter to communicate with the primary and secondary receivers. Finally, numerical examples are provided in order to verify the theoretical investigations.
Keywords:Channel switching  Capacity  Multiuser  Time sharing  Power allocation
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