Skip to main content
SpringerLink
Log in

New Upper Bounds on Degrees of Freedom for G-MIMO Relay Channel

  • Conference paper
  • First Online:
Book cover Trusted Computing and Information Security (CTCIS 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 704))

Included in the following conference series:

  • 629 Accesses

Abstract

We study a general type of multiple-input multiple-output (G-MIMO) relay channels, which consist of two groups (A and B) of source nodes and one relay node. Both groups have arbitrarily many source nodes each of which is in turn equipped with an arbitrary number of antennas. A G-MIMO relay channel engages in two-way transmission of independent information via the relay node. We obtain a tight upper bound on the total degrees of freedom (DoF) for such G-MIMO relay channels. Under the reasonable assumption that the number of antennas at the relay node is no more than the total number of antennas of either Group A or Group B, we design an efficient transmission scheme to achieve the upper bound by using techniques of signal alignment and joint transceiver design for interference cancellation. At the end of the paper, we propose a future research topic to quantify the relationship between graded levels of network security and the corresponding DoF of the G-MIMO relay channels.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Zheng, L., Tse, D.N.: Packing spheres in the grassmann manifold: a geometric approach to the non-coherent multiantenna channel. IEEE Trans. Inform. Theory 48, February 2002

    Google Scholar 

  2. Jafar, S., Shamai, S.: Degrees of freedom region of the mimo x channel. IEEE Trans. Inform. Theory 54(1), 151–170 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  3. Maddah-Ali, M., Motahari, A., Khandani, A.: Communication over mimo x channels: interference alignment, decomposition, and performance analysis. IEEE Trans. Inform. Theory 54(8), 3457–3470 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  4. Cadambe, V., Jafar, S.: Interference alignment and degrees of freedom of the K-user interference channel. IEEE Trans. Inform. Theory 54(8), 3425–3441 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Zhou, X., Bai, B., Chen, W.: Invited paper: antenna selection in energy efficient MIMO systems: a survey. China Communications 12(9), 162–173 (2015)

    Article  Google Scholar 

  6. Gou, T., Wang, C., Jafar, S.: Aiming perfectly in the dark-blind interference alignment through staggered antenna switching. IEEE Trans. Sig. Process. 59(6), 2734–2744 (2011)

    Article  MathSciNet  Google Scholar 

  7. Jafar, S.: The ergodic capacity of phase-fading interference networks. IEEE Trans. Inform. Theory 57(12), 7685–7694 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  8. Gomadam, K., Cadambe, V., Jafar, S.: A distributed numerical approach to interference alignment and applications to wireless interference networks. IEEE Trans. Inform. Theory 57(6), 3309–3322 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  9. Lee, N., Lim, J., Chun, J.: Degrees of freedom of the MIMO Y channel: signal space alignment for network coding. IEEE Trans. Inform. Theory 56(7), 3332–3342 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  10. Lee, K., Lee, N., Lee, I.: Achievable degrees of freedom on k-user Y channels. IEEE Trans. Wireless Commun. 11(3), 1210–1219 (2012)

    Article  Google Scholar 

  11. Wang, N., Ding, Z., Dai, X., Vasilakos, A.: On generalized MIMO Y channels: precoding design, mapping, and diversity gain. IEEE Trans. Veh. Technol. 60(7), 3525–3532 (2011)

    Article  Google Scholar 

  12. Lee, K., Park, S., Kim, J., Lee, I.: Degrees of freedom on mimo multi-link two-way relay channels. In: Proceedings of the IEEE Globecom (2010)

    Google Scholar 

  13. Xiang, Z.Z., Tao, M.X., Mo, J.H., Wang, X.D.: Degrees of freedom for MIMO two-way X relay channel. IEEE Trans. Sig. Process. 61(7), 1711–1720 (2013)

    Article  MathSciNet  Google Scholar 

  14. Ahlswede, R., Cai, N., Li, S., Yeung, R.: Network information flow. IEEE Trans. Inform. Theory 46(4), 1204–1216 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  15. Matsuda, T., Noguchi, T., Takine, T.: Survey of network coding and its applications. IEICE Trans. Commun. E94-B(3), 698–717 (2011)

    Google Scholar 

  16. Zhang, S., Liew, S., Lam, P.: Hot topic: physical-layer network coding. In: Proceedings of the ACM MobiCom, pp. 358–365, September 2006

    Google Scholar 

  17. Katti, S., Gollakota, S., Katabi, D.: Embracing wireless interference: analog network coding. In: Proceedings of the ACM SIGCOMM, September 2007

    Google Scholar 

  18. Zheng, L., Tse, D.: Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels. IEEE Trans. Inform. Theory 49(5), 1073–1096 (2003)

    Article  MATH  Google Scholar 

  19. Cover, T., Gamal, A.: Capacity theorems for the relay channel. IEEE Trans. Inform. Theory 25(5), 572–584 (1979)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

Xiao Chen and Liang Pang contributed equally to this work and share first authorship. This work was supported in part by the National Natural Science Foundation of China under Grant No. 61332010.

Author information

Authors and Affiliations

  1. Shanghai Key Laboratory of Integrated Administration Technologies for Information Security, Shanghai Jiao Tong University, Shanghai, China

    Xiao Chen, Liang Pang, Pengze Guo & Zhi Xue

  2. Department of Mathematics, Missouri State University, Springfield, MO, 65897, USA

    Xingping Sun

Authors
  1. Xiao Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Liang Pang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Pengze Guo
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xingping Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Zhi Xue
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiao Chen .

Editor information

Editors and Affiliations

  1. National University of Defense Technology, Changsha, China

    Ming Xu

  2. Hunan University, Changsha, Hunan, China

    Zheng Qin

  3. Wuhan University, Wuhan, China

    Fei Yan

  4. National University of Defense Technology, Changsha, Hunan, China

    Shaojing Fu

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Chen, X., Pang, L., Guo, P., Sun, X., Xue, Z. (2017). New Upper Bounds on Degrees of Freedom for G-MIMO Relay Channel. In: Xu, M., Qin, Z., Yan, F., Fu, S. (eds) Trusted Computing and Information Security. CTCIS 2017. Communications in Computer and Information Science, vol 704. Springer, Singapore. https://doi.org/10.1007/978-981-10-7080-8_15

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-7080-8_15

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-7079-2

  • Online ISBN: 978-981-10-7080-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Societies and partnerships

Search

Navigation