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Generalized Degrees of Freedom of the Symmetric Gaussian K User Interference Channel

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2 Author(s)
Jafar, S.A. ; Electr. Eng. & Comput. Sci., Univ. of California, Irvine, CA, USA ; Vishwanath, S.

We characterize the generalized degrees of freedom of the K user symmetric Gaussian interference channel where all desired links have the same signal-to-noise ratio (SNR) and all undesired links carrying interference have the same interference-to-noise ratio, INR = SNRα. We find that the number of generalized degrees of freedom per user, d(α), does not depend on the number of users, so that the characterization is identical to the 2 user interference channel with the exception of a singularity at α = 1 where d(1) = 1/K. The achievable schemes use multilevel coding with a nested lattice structure that opens the possibility that the sum of interfering signals can be decoded at a receiver even though the messages carried by the interfering signals are not decodable.

Published in:

Information Theory, IEEE Transactions on  (Volume:56 ,  Issue: 7 )

Date of Publication:

July 2010

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