DOI QR코드

DOI QR Code

On the Feasibility of Interference Alignment in the Cellular Network

  • Chen, Hua (College of Mathematics and Computer Science, Wuhan Textile University) ;
  • Wu, Shan (Department of Public Basic Course, Wuhan Technology and Business University) ;
  • Hu, Ping (College of Mathematics and Computer Science, Wuhan Textile University) ;
  • Xu, Zhudi (School of Electronic Information and Communication, Huazhong University of Sci. & Tech.)
  • Received : 2017.02.22
  • Accepted : 2017.06.06
  • Published : 2017.11.30

Abstract

In this paper, we investigate the feasibility of interference alignment(IA) in signal space in the scenario of multiple cell and multiple user cellular networks, as the feasibility issue is closely related to the solvability of a multivariate polynomial system, we give the mathematical analysis to support the constraint condition obtained from the polynomial equations with the tools of algebraic geometry, and a new distribute IA algorithm is also provided to verify the accessibility of the constraint condition for symmetric system in this paper. Simulation results illustrate that the accessibility of the constraint condition is hold if and only if the degree of freedom(DoF) of each user can be divided by both the transmit and receive antenna numbers.

Keywords

References

  1. M. Maddah-Ali, A. Motahari, and A. Khandani, "Communication over X channel: Signalling and multiplexing gain," Univ. California,Berkeley, CA, Tech. Rep., Dec. 2006.
  2. S. A. Jafar and S. Shamai (Shitz), "Degrees of freedom region for the MIMO X channel," IEEE Transactions on Information Theory,Vol.54,No. 1,pp.151-170,Jan. 2008. https://doi.org/10.1109/TIT.2007.911262
  3. V. R. Cadambe and S. A. Jafar, "Interference alignment and degrees of freedom of the K-user interference channel," IEEE Trans. Inf. Theory, vol. 54, no. 8, pp. 3425-3441, Aug. 2008. https://doi.org/10.1109/TIT.2008.926344
  4. C.M. Yetis, T. Gou, S.A. Jafar, and A.H. Kayran "On Feasibility of Interference Alignment in MIMO Interference Networks," IEEE Trans. on Signal Processing, Vol. 58, pp. 4771-4782, 2010. https://doi.org/10.1109/TSP.2010.2050480
  5. Meisam Razaviyayn, Gennady Lyubeznik, Zq Luo, "On the degrees of freedom achievable through interference alignment in a MIMO interference channel," IEEE Transactions on signal procrssing, IEEE Transactions on Signal Processing,Vol.60, No.2, pp.812-821, Feb. 2012. https://doi.org/10.1109/TSP.2011.2173683
  6. H. Matsumura, Commutative Algebra, New York: Benjamin/Cummings,1980.
  7. M. F. Atiyah and I. G. Macdonald, Introduction to Commutative Algebra,New York: Westview, 1994.
  8. J. Sun, Y. Liu, and G. Zhu, "On the degrees of freedom of the cellular network," in Proc. of IEEE ICC'10, pp. 1-5, May 2010.
  9. K. Gomadam, V. Cadambe, and S. Jafar, "A distributed numerical approach to interference alignment and applications to wireless interference networks," IEEE Transactions on Information Theory,Vol.57,No.6, pp.3309-3322, June 2011. https://doi.org/10.1109/TIT.2011.2142270
  10. T. Liu and C. Yang, "Interference alignment transceiver design for MIMO interference broadcast channels," in Proc. of IEEE WCNC, 2012.
  11. W. Shin, N. Lee, J.-B. Lim, C. Shin, and K. Jang, "On the design of interference alignment scheme for two-cell MIMO interfering broadcast channels," IEEE Trans. Wireless Commun., vol. 10, no. 2, pp. 437-442, Feb. 2011. https://doi.org/10.1109/TWC.2011.120810.101097
  12. Q. Shi, M. Razaviyayn, Z. Luo, and C. He, "An iteratively weighted MMSE approach to distributed sum-utility maximization for a MIMO interfering broadcast channel," in Proc. of IEEE ICASSP, 2011.