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On the Sum Rate Capacity of MIMO Broadcast Channels in Cognitive Radio Networks with Interference Power Constraints

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Abstract

This paper investigates the sum rate capacity of MIMO broadcast channels (MIMO-BCs) in cognitive radio networks. A suboptimal user-selection algorithm is proposed to achieve a large sum rate capacity with reduced complexity. This algorithm consists of two steps. First, zero-forcing beamforming is utilized as a downlink precoding technique that precancels inter-user interference. Second, singular value decomposition is applied to the channel matrices of all the secondary users and only consider the singular vectors corresponding to the maximum singular values. The proposed user-selection algorithm chooses singular vectors which are nearly orthogonal to each other and nearly orthogonal to the vector of primary users. With this algorithm, the sum rate capacity of MIMO-BCs in CR networks with interference power constraints and transmit power constraints is derived. We formulate the sum rate capacity as a multi-constraint optimization problem and develop an algorithm to solve the problem in its equivalent form. Finally, numerical simulations are conducted to corroborate our theoretical results in flat Rayleigh fading environments. It is shown that the proposed algorithms are capable of achieving a large sum rate capacity with a very low complexity.

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Authors and Affiliations

  1. School of Information and Communication, Guilin University of Electronic Technology, Guilin, 541004, China

    Hai-Lin Xiao & Shan Ouyang

  2. Joint Research Institute for Signal and Image Processing, School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh, EH14 4AS, UK

    Cheng-Xiang Wang

Authors
  1. Hai-Lin Xiao
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  2. Shan Ouyang
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  3. Cheng-Xiang Wang
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Corresponding author

Correspondence to Hai-Lin Xiao.

Additional information

The work of H.-L. Xiao and S. Ouyang is supported by the National Basic Research Program of China “973” (Grant No.: 2008CB317109), Guangxi Natural Science Foundation (No.: 2011GXNSFD018028 and 0991241), NSFC (Grant No. 60972084). H.-L. Xiao and C.-X. Wang acknowledge the support from the Scottish Funding Council for the Joint Research Institute in Signal and Image Processing with the University of Edinburgh, as part of the Edinburgh Research Partnership in Engineering and Mathematics (ERPem), and the support from the RCUK for the UK-China Science Bridges: R\&D on (B) 4G Wireless Mobile Communications.

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Xiao, HL., Ouyang, S. & Wang, CX. On the Sum Rate Capacity of MIMO Broadcast Channels in Cognitive Radio Networks with Interference Power Constraints. Wireless Pers Commun 70, 1589–1601 (2013). https://doi.org/10.1007/s11277-012-0767-3

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  • DOI: https://doi.org/10.1007/s11277-012-0767-3

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