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Abstract: We characterize the generalized degrees of freedom of the $K$ user symmetricGaussian interference channel where all desired links have the samesignal-to-noise ratio SNR and all undesired links carrying interference havethe same interference-to-noise ratio, ${INR}={SNR}^\alpha$. We find that thenumber of generalized degrees of freedom per user, $d\alpha$, does not dependon the number of users, so that the characterization is identical to the 2 userinterference channel with the exception of a singularity at $\alpha=1$ where$d1=\frac{1}{K}$. The achievable schemes use multilevel coding with a nestedlattice structure that opens the possibility that the sum of interferingsignals can be decoded at a receiver even though the messages carried by theinterfering signals are not decodable.



Author: Syed A. Jafar, Sriram Vishwanath

Source: https://arxiv.org/



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