On the Degrees-of-Freedom of the K-User Gaussian Interference Channel
| dc.creator | Etkin, Raul | |
| dc.creator | Ordentlich, Erik | |
| dc.date | 2009-01-13 | |
| dc.date.accessioned | 2026-07-07T12:28:53Z | |
| dc.date.available | 2026-07-07T12:28:53Z | |
| dc.description | The degrees-of-freedom of a K-user Gaussian interference channel (GIFC) has been defined to be the multiple of (1/2)log_2(P) at which the maximum sum of achievable rates grows with increasing P. In this paper, we establish that the degrees-of-freedom of three or more user, real, scalar GIFCs, viewed as a function of the channel coefficients, is discontinuous at points where all of the coefficients are non-zero rational numbers. More specifically, for all K>2, we find a class of K-user GIFCs that is dense in the GIFC parameter space for which K/2 degrees-of-freedom are exactly achievable, and we show that the degrees-of-freedom for any GIFC with non-zero rational coefficients is strictly smaller than K/2. These results are proved using new connections with number theory and additive combinatorics. | |
| dc.description | submitted to IEEE Transactions on Information Theory, June 18, 2008 | |
| dc.identifier | https://arxiv.org/abs/0901.1695 | |
| dc.identifier | http://arxiv.org/abs/0901.1695 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215692 | |
| dc.subject | Information Theory | |
| dc.title | On the Degrees-of-Freedom of the K-User Gaussian Interference Channel | |
| dc.type | text |