Achieving Optimal Degrees of Freedom for an Interference Network with General Message Demand
The concept of degrees of freedom (DoF) has been adopted to resolve the difficulty of studying the multi-user wireless network capacity regions. Interference alignment (IA) is an important technique developed recently for quantifying the DoF of such networks. In the present study, a single-hop interference network with K transmitters and N receivers is taken into account. Each transmitter emits an independent message and each receiver requests an arbitrary subset of the messages. Using the linear IA techniques, the optimal DoF assignment has been analyzed. Assuming generic channel coefficients, it has been shown that the perfect IA cannot be achieved for a broad class of interference networks. Analytical evaluation of DoF feasibility for general interference channels (IFCs) is complicated and not available yet. Iterative algorithm designed to minimize the leakage interference at each receiver is extended to work with general IFCs. This algorithm provides numerical insights into the feasibility of IA, which is not yet available in theory.
Keywords:interference channel, interference alignment, degrees of freedom, channel state information
R. H. Etkin, D. N. C. Tse, H. Wang, “Gaussian interference channel capacity to within one bit”, IEEE Transactions on Information Theory, Vol. 54, No. 12, pp. 5534-5562, 2008 DOI: https://doi.org/10.1109/TIT.2008.2006447
S. Jafar, M. Fakhereddin, “Degrees of freedom for the MIMO interference channel,”, IEEE Transactions on Information Theory, Vol. 53, No. 7, pp. 2637-2642, 2007 DOI: https://doi.org/10.1109/TIT.2007.899557
A. Host-Madsen, A. Nosratinia, “The multiplexing gain of wireless networks”, IEEE International Symposium on Information Theory, Adelaide, Australia, pp. 2065-2069, September 4-9, 2005
M. A. Maddah-Ali, A. S. Motahari, A. K. Khandani, “Communication over MIMO X channels: Interference Alignment, Decomposition, and Performance Analysis”, IEEE Transactions on Information Theory, Vol. 54, No. 8, pp. 3457-3470, 2008 DOI: https://doi.org/10.1109/TIT.2008.926460
S. A. Jafar, S. Shamai, “Degrees of freedom region for the MIMO X channel”, IEEE Transactions on Information Theory, Vol. 54, No. 1, pp. 151-170, 2008 DOI: https://doi.org/10.1109/TIT.2007.911262
V. R. Cadambe, S. A. Jafar, “Interference alignment and degrees of freedom of the K -user interference channel”, IEEE Transactions on Information Theory,Vol. 54, No. 8, pp. 3425-3441, 2007 DOI: https://doi.org/10.1109/TIT.2008.926344
C. M. Yetis, T. Gou, S. Jafar, A. H. Kayran, “On feasibility of interference alignment in MIMO interference networks”, IEEE Transactions on Signal Processing, Vol. 58, No. 9, pp. 4771-4782, 2010 DOI: https://doi.org/10.1109/TSP.2010.2050480
M. Razaviyayn, G. Lyubeznik, L. Zhi-Quan, “On the degrees of freedom achievable through interference alignment in a MIMO interference channel”, IEEE Transactions on Signal Processing, Vol. 60, No. 2, pp. 812-821, 2011 DOI: https://doi.org/10.1109/TSP.2011.2173683
T. Liu, C. Yang, “On the feasibility of linear interference alignment for MIMO interference broadcast channels with constant coefficients”, IEEE Transactions on Signal Processing, Vol. 60, No. 9, pp. 2178-2191, 2013 DOI: https://doi.org/10.1109/TSP.2013.2248005
L. Ruan, V. N. Lau, M. Z. Win, “The feasibility conditions for interference alignment in MIMO networks”, IEEE Transactions on Signal Processing, Vol. 61, No. 8, pp. 2066-2077, 2013 DOI: https://doi.org/10.1109/TSP.2013.2241056
L. Ke, A. Ramamoorthy, Z. Wang, H. Yin, “Degrees of freedom region for an interference network with general message demands”, IEEE Transactions on Information Theory, Vol. 58, No. 6, pp. 3787-3797, 2012 DOI: https://doi.org/10.1109/TIT.2012.2189197
K. Gomadam, V. Cadambe, 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, 2011 DOI: https://doi.org/10.1109/TIT.2011.2142270
Z. Samadi, V. T. Vakili, F. Haddadi, “Channel aided interference alignment”, IET Signal Processing, Vol. 11, No. 7, pp. 854-860, 2017 DOI: https://doi.org/10.1049/iet-spr.2016.0290
How to Cite
MetricsAbstract Views: 421
PDF Downloads: 228
Authors who publish with this journal agree to the following terms:
- Authors retain the copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) after its publication in ETASR with an acknowledgement of its initial publication in this journal.