Skip to main content
Log in

New upper degree of freedom in transmission system based on wireless G-MIMO communication channel

  • Published:
Cluster Computing Aims and scope Submit manuscript

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 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 article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2

Similar content being viewed by others

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, 359–383 (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)

    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)

    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)

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    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)

    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. Inf. Theory 56(7), 3332–3342 (2010)

    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)

    Google Scholar 

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

    Google Scholar 

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

  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. Signal Process. 61(7), 1711–1720 (2013)

    Google Scholar 

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

    Google Scholar 

  15. Matsuda, T., Noguchi, T., Takine, T.: Survey of network coding and its applications. IEICE Trans. Commun. 94(3), 698–717 (2011)

    Google Scholar 

  16. Mohammed, M.A., Ghani, M.K.A., Hamed, R.I., Abdullah, M.K., Ibrahim, D.A.: Automatic segmentation and automatic seed point selection of nasopharyngeal carcinoma from microscopy images using region growing based approach. J. Comput. Sci. 20, 61–69 (2017)

    Google Scholar 

  17. Katti, S., Gollakota, S., Katabi, D.: Embracing wireless interference: analog network coding. In: Proc. ACM SIGCOMM, Sep (2007)

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

    Google Scholar 

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

    Google Scholar 

Download references

Acknowledgements

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

Authors

Corresponding author

Correspondence to Xiao Chen.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chen, X., Pang, L., Guo, P. et al. New upper degree of freedom in transmission system based on wireless G-MIMO communication channel. Cluster Comput 22 (Suppl 2), 4091–4099 (2019). https://doi.org/10.1007/s10586-017-1513-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10586-017-1513-0

Keywords

Navigation