The feasibility conditions for interference alignment in MIMO networks

IEEE Transactions on Signal Processing

Volumn 61, Issue 8, 2013, Pages 2066-2077

  Ruan, Liangzhong ^a,b   Lau, Vincent K N ^a   Win, Moe Z ^b  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Algebraic independence; feasibility conditions; interference alignment

Indexed keywords

ALGEBRAIC INDEPENDENCE; BREAKTHROUGH PERFORMANCE; FEASIBILITY CONDITION; INTERFERENCE ALIGNMENT; INTERFERENCE NETWORKS; MATHEMATICAL FRAMEWORKS; SOLVABILITY CONDITIONS; SUFFICIENT CONDITIONS;

POLYNOMIALS;

ELECTRIC NETWORK TOPOLOGY;

EID: 84875692425     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2013.2241056     Document Type: Article

References (22)

1. M. A. Maddah-Ali, A. S. Motahari, and A. K. Khandani, "Communication over MIMO X channels: Interference alignment, decomposition, and performance analysis," IEEE Trans. Inf. Theory, vol. 54, pp. 3457-3470, Aug. 2008.
2. V. R. Cadambe, S.A. Jafar, and S. Shamai, "Interference alignment and degrees of freedom of the-user interference channel," IEEE Trans. Inf. Theory, vol. 54, pp. 3425-3441, Aug. 2008.
3. V. R. Cadambe and S. A. Jafar, "Degrees of freedom region of the MIMO X channel," IEEE Trans. Inf. Theory, vol. 54, pp. 151-170, Jan. 2008.
4. V. R. Cadambe and S. A. Jafar, "Degrees of freedom of wireless networks with relays, feedback, cooperation, and full duplex operation," IEEE Trans. Inf. Theory, vol. 55, pp. 2334-2344, May 2009.
5. N. Lee, D. Park, and Y. Kim, "Degrees of freedom on the-user MIMO interference channel with constant channel coefficients for downlink communications," in Proc. IEEE Global Telecommun. Conf., Dec. 2009, pp. 1-6.
6. R. Tresch, M. Guillaud, and E. Riegler, "On the achievability of interference alignment in the-user constant MIMOinterference channel," in Proc. IEEE/SP 15th Workshop Statist. Signal Process., Aug. 2009, pp. 277-280.
7. M. Yamada and T. Ohtsuki, "Interference alignment in the MIMO model," in Proc. IEEE Global Telecommun. Conf., Dec. 2010, pp. 1963-1967.
8. K. Gomadam, V. R. Cadambe, and S. A. Jafar, "Approaching the capacity of wireless networks through distributed interference alignment," in Proc. IEEE Global Telecommun. Conf., Nov. 2008, pp. 1-6.
9. S. Peters and R. Heath, "Interference alignment via alternating minimization," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., Apr. 2009, pp. 2445-2448.
10. J. Harris, Algebraic Geometry: A First Course, 1st ed. New York, NY, USA: Springer, 1992.
11. D. Cox and J. O. LittleD, Using Algebraic Geometry, 2nd ed. New York, NY, USA: Springer, 2005.
12. C. M. Yetis, T. Gou, S. A. Jafar, and A. H. Kayran, "On feasibility of interference alignment in MIMO interference networks," IEEE Trans. Signal Process., vol. 58, pp. 4771-4782, Sep. 2010.
13. G. Bresler, D. Cartwright, and D. Tse, "Settling the feasibility of interference alignment for the MIMO interference channel: The symmetric square case," [Online]. Available: http://arxiv.org/abs/1104.0888
14. M. Razaviyayn, L. Gennady, and Z. Luo, "On the degrees of freedom achievable through interference alignment in a MIMO interference channel," in Proc. IEEE Workshop Signal Process. Adv. Wireless Commun., Jun. 2011, pp. 511-515.
15. M. Razaviyayn, L. Gennady, and Z. Luo, "On the degrees of freedom achievable through interference alignment in a MIMO interference channel," IEEE Trans. Signal Process., vol. 60, pp. 812-821, Feb. 2012.
16. Interwordspacing Springer Online Encyclopaedia of Mathematics. M. Hazewinkel, Ed. [Online]. Available: http://eom.springer.de/inter
17. C. M. Yetis, S. A. Jafar, and A. H. Kayran, "Feasibility conditions for interference alignment," in Proc. IEEE Global Telecommun. Conf., Nov. 2009, pp. 1-6.
18. L. Ruan, "Summary of existing works on IA feasibility," LIDS, Mass. Inst. Technol. (MIT), Cambridge, MA, USA, 2012 [Online]. Available: https://sites.google.com/site/stevenliangzhongruan/technical-report
19. C. D. Meyer, Matrix Analysis and Applied Linear Algebra, 1st ed. Philadelphia, PA, USA: SIAM, 2000.
20. J. A. Chen, Lecture notes of Advanced Algebra II [Online]. Available: http://www.math.ntu.edu.tw/jkchen/S04aa/S04aa.htm inter
21. J. Milne, Lecture notes of Algebraic Geometry [Online]. Available: http://www.jmilne.org/math/coursenotes/ag.htmlinter
22. D. Cox, J. Little, and D. O'Shea, Ideals Varieties and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3rd ed. New York, NY, USA: Springer, 2006.