Skip to main content
SpringerLink
Log in

Achievable bit rates of cognitive user with Vandermonde precoder in cognitive radio network

  • Research Papers
  • Published:
Science China Information Sciences Aims and scope Submit manuscript

Abstract

In cognitive radio network (CRN) where primary user (PU) and secondary user (SU) wish to communicate with their corresponding receivers simultaneously over frequency selective fading channels, the interference between PU and SU should be eliminated in order to realize spectrum sharing. Precoder division multiple access (PDMA) that implements Vandermonde precoder in cognitive orthogonal frequency division multiplexing (OFDM) is proposed, which benefits from the frequency selectivity of the cognitive channel to form a frequency beam-former. Vandermonde precoder enables SUs to achieve higher bit rate with optimal power allocation strategy under the condition of PU interference constraint. Numerical and simulation results are presented to prove theoretical derivations. It is shown that, achievable bit rates (ABR) of SU could be achieved with optimal power allocation scheme in CRN. Meanwhile, it is also verified that, with Vandermonde precoder to form PDMA, SU’s signal-to-noise ratio (SNR) and the target rate of PU could impact the ABR of SU significantly in CRN.

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. Akyildiz I F, Lee W Y, Vuran M C, et al. Next generation/dynamic spectrum access/cognitive radio wireless networks: a survey. Comput Netw, 2006, 50: 2127–2159

    Article  MATH  Google Scholar 

  2. Carleial A. Interference channels. IEEE Trans Inf Theor, 1978, 24: 60–70

    Article  MATH  MathSciNet  Google Scholar 

  3. Devroye N, Mitran P, Tarokh V. Achievable rates in cognitive radio channels. IEEE Trans Inf Theor, 2006, 52: 1813–1827

    Article  MathSciNet  Google Scholar 

  4. Maric I, Yates R D, Kramer G. Capacity of interference channels with partial transmitter cooperation. IEEE Trans Inf Theor, 2007, 53: 3536–3548

    Article  MathSciNet  Google Scholar 

  5. Budiarjo I, Nikookar H, Ligthart L P. Cognitive radio modulation techniques. IEEE Signal Process Mag, 2008, 25: 24–34

    Article  Google Scholar 

  6. Weiss T A, Jondral F K. Spectrum pooling: an innovative strategy for the enhancement of spectrum efficiency. IEEE Commun Mag, 2004, 42: 8–14

    Article  Google Scholar 

  7. Haykin S. Cognitive radio: brain-empowered wireless communications. IEEE J Sel Area Commun, 2005, 23: 210–220

    Article  Google Scholar 

  8. Farhang-Boroujeny B. Filter bank spectrum sensing for cognitive radios. IEEE Trans Signal Process, 2008, 56: 1801–1811

    Article  MathSciNet  Google Scholar 

  9. Wang L, Zheng B Y, Cui J W, et al. Precoder division multiplexing access for cognitive radio. In: Proceedings of 2009 International Conference on Wireless Communications and Signal Processing (IEEE WCSP 2009). Nanjing, 2009

  10. Cardoso L S, Kobayashi M, Ryan O, et al. Vandermonde frequency division multiplexing for cognitive radio. In: Proceedings of IEEE 9th Workshop on Signal Processing Advances for Wireless Communications. Recife, 2008. 421–425

  11. Wang J., Milstein L. B. CDMA overlay situations for microcellular mobile communications. IEEE Trans on Commun, 1995, 43: 603–614

    Article  MATH  Google Scholar 

  12. Wang J, Chen J. Performance of wideband CDMA systems with complex spreading and imperfect channel estimation. IEEE J Sel Area Commun, 2001, 19: 152–163

    Article  Google Scholar 

  13. Ryan O, Debbah M. Asymptotic behavior of random Vandermonde matrices with entries on the unit circle. IEEE Trans Inf Theor, 2009, 55: 3115–3147

    Article  MathSciNet  Google Scholar 

  14. Kobayashi M, Debbah M. On the secrecy capacity of frequency selective fading channels: a practical Vandermonde precoding. In: Proceedings of IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications, 2008. 1–5

  15. Mahmoud M A, Zoltowski M D. Performance evaluation of code-spread OFDM using Vandermonde spreading. In: Proceedings of IEEE Radio and Wireless Symposium, 2009. 320–323

  16. Sason I. On achievable rate regions for the Gaussian interference channel. IEEE Trans Info Theor, 2004, 50: 1345–1356

    Article  MathSciNet  Google Scholar 

  17. Golub G H, VanLoan C F. Matrix Computations. Baltimore: Johns Hopkins University Press, 1996

    MATH  Google Scholar 

  18. Ryan O, Debbah M. On the limiting moments of Vandermonde random matrices. In: Proceedings of the 6th International Symposium on Modeling and Optimization in Mobile, Ad-hoc, and Wireless Networks, 2008. 610–619

Download references

Author information

Authors and Affiliations

  1. College of Telecommunication Engineering, Hangzhou Dianzi University, Hangzhou, 310018, China

    XiaoRong Xu & JianWu Zhang

  2. Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, 210003, China

    BaoYu Zheng

Authors
  1. XiaoRong Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. JianWu Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. BaoYu Zheng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to XiaoRong Xu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xu, X., Zhang, J. & Zheng, B. Achievable bit rates of cognitive user with Vandermonde precoder in cognitive radio network. Sci. China Inf. Sci. 54, 1471–1480 (2011). https://doi.org/10.1007/s11432-011-4252-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11432-011-4252-5

Keywords

Search

Navigation