Skip to main content
SpringerLink
Log in

Cognitive Radio MIMO Gaussian Broadcast Channels with the Power Constraint

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

The cognitive radio multiple-input multiple-output Gaussian broadcast channels are studied where multiple antennas are available for both primary users and secondary users in a spectrum sharing environment, and the sum-rate capacity is also obtained under both the SUs’ transmit power constraint and interference power constraint at the primary receivers. The paper principally consists of two steps. First, a duality technique and dirty paper coding are adopted to simplify the channels. Second, we propose an iterative power allocation algorithm to obtain the maximum sum-rate capacity and examine the effects of the constraint parameters on the concerned quantities. Finally, numerical simulation results are presented to validate the proposed theoretical analysis.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Hong X., Chen Z., Wang C. X., Vorobroy S., Thompson J. S. (2009) Cognitive radio networks: Interference cancellation and management techniques. IEEE Vehicular Technology Magazine 4: 76–84

    Article  Google Scholar 

  2. Choi K. W. (2010) Adaptive sensing technique to maximize spectrum utilization in cognitive radio. IEEE Transactions on Vehicular Technology 59: 992–998

    Article  Google Scholar 

  3. Wang C. X., Hong X., Ge X., Cheng X., Zhang G., Thompson J. S. (2010) Cooperative MIMO channel models: A survey. IEEE Communications Magazine 48: 80–87

    Article  Google Scholar 

  4. Xiao H. -L., Ouyang S., Nie Z. P. (2010) Design and performance analysis of compact planar inverted-L diversity antenna for handheld terminals. Wireless Personal Communications 52: 709–718

    Article  Google Scholar 

  5. Diaz J., Simeone O., Bar-Ness Y. (2008) Asymptotic analysis of reduced-feedback strategies for MIMO gaussian broadcast channels. IEEE Transactions on Information Theory 54: 1308–1316

    Article  MathSciNet  Google Scholar 

  6. Al-Naffouri T. Y., Sharif M., Hassibi B. (2009) How much does transmit correlation affect the sum-rate scaling of MIMO Gaussian broadcast channels?. IEEE Transactions on Communications 56: 562–572

    Article  Google Scholar 

  7. Wang C., Hong X., Chen H. H., Thompson J. (2009) On capacity of cognitive radio networks with average interference power constraints. IEEE Transactions on Wireless Communications 8: 1620–1625

    Article  Google Scholar 

  8. Lee S. H., Thompson J. (2010) Trade-off multiplexing streams in MIMO broadcast channels. IEEE Communications Letters 14: 115–117

    Article  Google Scholar 

  9. Gao F., Zhang R., Liang Y. C., Wang X. D. (2010) Design of learning based MIMO cognitive radio systems. IEEE Transactions on Vehicular Technology 59: 1707–1720

    Article  Google Scholar 

  10. Yin H., Liu H. (2002) Performance of space-division multiple-access with scheduling. IEEE Transactions on Wireless Communications 1: 611–618

    Article  Google Scholar 

  11. Zhang R., Liang Y. C. (2008) Exploiting multi-antennas for opportunistic spectrum sharing in cognitive radio networks. IEEE Journal of Selected Topics in Signal Processing 2: 88–102

    Article  Google Scholar 

  12. Scutari G., Palomar D. P. (2010) MIMO cognitive radio: A game theoretical approach. IEEE Transactions on Signal Processing 58: 761–780

    Article  MathSciNet  Google Scholar 

  13. Gomadam K. S., Jafar S. A. (2010) Duality of MIMO multiple access channel and broadcast channel with amplify and forward relays. IEEE Transactions on Communications 58: 211–217

    Article  Google Scholar 

  14. Soundararajan, R., & Vishwanath, S. (2008). Adaptive sum power iterative waterfilling for MIMO cognitive radio channels. IEEE international conference on communications (pp. 1060–1064). Beijing, China.

  15. Jafar S. A., Shamai S. (2008) Degrees of freedom region of the MIMO X channel. IEEE Transactions on Information Theory 54: 151–169

    Article  MathSciNet  Google Scholar 

  16. Peng Y., Rajan D. (2010) Capacity bounds for a cognitive MIMO Gaussian Z-interference channel. IEEE Transactions on Vehicular Technology 59: 1865–1876

    Article  Google Scholar 

  17. Kang M. S., Jung B. C., Sung D. K. (2008) A pre-whitening scheme in a MIMO-based spectrum-sharing environment. IEEE Communications Letters 12: 831–833

    Article  Google Scholar 

  18. Liang X. B. (2008) An algebraic, analytic, and algorithmic investigation on the capacity and capacity-achieving input probability distributions of finite-input-finite-output discrete memoryless channels. IEEE Transactions on Information Theory 54: 1003–1023

    Article  Google Scholar 

  19. Zhang L., Xin Y., Liang Y. C. (2009) Weighted sum rate optimization for cognitive radio MIMO broadcast channels. IEEE Transactions on Wireless Communications 8: 2950–2959

    Article  Google Scholar 

  20. Lu P., Yang H. C. (2010) Sum-rate analysis of multiuser MIMO system with zero-forcing transmit beamforming. IEEE Transactions on Communications 57: 2585–2589

    Google Scholar 

Download references

Author information

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

    Hai-Lin Xiao & Cheng-Xiang Wang

Authors
  1. Hai-Lin Xiao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shan Ouyang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Cheng-Xiang Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hai-Lin Xiao.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xiao, HL., Ouyang, S. & Wang, CX. Cognitive Radio MIMO Gaussian Broadcast Channels with the Power Constraint. Wireless Pers Commun 68, 769–778 (2013). https://doi.org/10.1007/s11277-011-0481-6

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-011-0481-6

Keywords

Search

Navigation