The capacity of wireless networks
IEEE Transactions on Information Theory
Hierarchical Cooperation Achieves Optimal Capacity Scaling in Ad Hoc Networks
IEEE Transactions on Information Theory
Degrees of Freedom Region of the MIMO X Channel
IEEE Transactions on Information Theory
Interference Alignment and Degrees of Freedom of the -User Interference Channel
IEEE Transactions on Information Theory
Joint MMSE transceiver designs and performance benchmark for CoMP transmission and reception
ISRN Communications and Networking
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Recent results have shown that interference alignment can achieve K/2 degrees of freedom in a K-user interference channel with time or frequency varying channel coefficients. For fixed number of users K, the number of degrees of freedom characterizes the asymptotic behavior of the performance in the high SNR limit but it does not answer the question of how the performance scales with K for any fixed SNR. In particular, it is unclear if a constant rate per user can be maintained as more users enter into the system. In this paper, we investigate the performance of the interference alignment scheme proposed in [5] for fixed SNR. We assume that the channel coefficients between the users are of the form r ejθ where r is fixed over the duration of communication and θ is a fast fading phase. We show that for any value of the SNR and K, the aggregate rate achieved by the interference alignment scheme of [5] is lower bounded by c1Klog(1 + c2 SNR) where c1 and c2 are positive constants independent of both SNR and K. This result establishes the linear scaling of the interference alignment scheme for the considered random phase channel model.