naa a22 4500 510796907 CHVBK 20180411083340.0 cr unu---uuuuu 180411e20131201xx s 000 0 eng 10.1007/s11277-013-1210-0 doi (NATIONALLICENCE)springer-10.1007/s11277-013-1210-0 Joint Beamforming and Power Allocation for Cognitive MIMO Systems Under Imperfect CSI Based on Game Theory [Elektronische Daten] [Feng Zhao, Bin Li, Hongbin Chen, Xuezhi Lv] The problem of joint beamforming and power allocation for cognitive multi-input multi-output systems is studied via game theory. The objective is to maximize the sum utility of secondary users (SUs) subject to the primary user (PU) interference constraint, the transmission power constraint of SUs, and the signal-to-interference-plus-noise ratio (SINR) constraint of each SU. In our earlier work, the problem was formulated as a non-cooperative game under the assumption of perfect channel state information (CSI). Nash equilibrium (NE) is considered as the solution of this game. A distributed algorithm is proposed which can converge to the NE. Due to the limited cooperation between the secondary base station (SBS) and the PU, imperfect CSI between the SBS and the PU is further considered in this work. The problem is formulated as a robust game. As it is difficult to solve the optimization problem in this case, existence of the NE cannot be analyzed. Therefore, convergence property of the sum utility of SUs will be illustrated numerically. Simulation results show that under perfect CSI the proposed algorithm can converge to a locally optimal pair of transmission power vector and beamforming vector, while under imperfect CSI the sum utility of SUs converges with the increase of the transmission power constraint of SUs. Springer Science+Business Media New York, 2013 Cognitive radio nationallicence Multi-input multi-output nationallicence Power allocation nationallicence Beamforming nationallicence Imperfect channel state information nationallicence Game theory nationallicence Zhao Feng Key Laboratory of Cognitive Radio and Information Processing, Ministry of Education, Guilin University of Electronic Technology, 541004, Guilin, China aut Li Bin Key Laboratory of Cognitive Radio and Information Processing, Ministry of Education, Guilin University of Electronic Technology, 541004, Guilin, China aut Chen Hongbin Key Laboratory of Cognitive Radio and Information Processing, Ministry of Education, Guilin University of Electronic Technology, 541004, Guilin, China aut Lv Xuezhi Key Laboratory of Cognitive Radio and Information Processing, Ministry of Education, Guilin University of Electronic Technology, 541004, Guilin, China aut Wireless Personal Communications Springer US; http://www.springer-ny.com 73/3(2013-12-01), 679-694 0929-6212 73:3<679 2013 73 11277 https://doi.org/10.1007/s11277-013-1210-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11277-013-1210-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhao Feng Key Laboratory of Cognitive Radio and Information Processing, Ministry of Education, Guilin University of Electronic Technology, 541004, Guilin, China aut NATIONALLICENCE 700 1- Li Bin Key Laboratory of Cognitive Radio and Information Processing, Ministry of Education, Guilin University of Electronic Technology, 541004, Guilin, China aut NATIONALLICENCE 700 1- Chen Hongbin Key Laboratory of Cognitive Radio and Information Processing, Ministry of Education, Guilin University of Electronic Technology, 541004, Guilin, China aut NATIONALLICENCE 700 1- Lv Xuezhi Key Laboratory of Cognitive Radio and Information Processing, Ministry of Education, Guilin University of Electronic Technology, 541004, Guilin, China aut NATIONALLICENCE 773 0- Wireless Personal Communications Springer US; http://www.springer-ny.com 73/3(2013-12-01), 679-694 0929-6212 73:3<679 2013 73 11277 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer