Interference Alignment and Degrees of Freedom of the -User Interference Channel
Cadambe, V.R.; Jafar, S.A.
Information Theory, IEEE Transactions on
Volume 54, Issue 8, Aug. 2008 Page(s):3425 - 3441
Digital Object Identifier   10.1109/TIT.2008.926344
Summary:For the fully connected K user wireless interference channel where the channel coefficients are time-varying and are drawn from a continuous distribution, the sum capacity is characterized as C(SNR)=K/2log(SNR)+o(log(SNR)) . Thus, the K user time-varying interference channel almost surely has K/2 degrees of freedom. Achievability is based on the idea of interference alignment. Examples are also provided of fully connected K user interference channels with constant (not time-varying) coefficients where the capacity is exactly achieved by interference alignment at all SNR values.

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