Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing)
Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing)
Combinatorics, Probability and Computing
IEEE Transactions on Information Theory
The capacity region of a class of three-receiver broadcast channels with degraded message sets
IEEE Transactions on Information Theory
Capacity bounds for the Gaussian interference channel
IEEE Transactions on Information Theory
A new outer bound and the noisy-interference sum-rate capacity for Gaussian interference channels
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Parallel Gaussian interference channels are not always separable
IEEE Transactions on Information Theory
New sum-rate upper bound for the two-user Gaussian interference channel
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
Capacity results for the discrete memoryless network
IEEE Transactions on Information Theory
Outer bounds on the capacity of Gaussian interference channels
IEEE Transactions on Information Theory
On achievable rate regions for the Gaussian interference channel
IEEE Transactions on Information Theory
Interference Alignment and Degrees of Freedom of the -User Interference Channel
IEEE Transactions on Information Theory
Communication Over MIMO X Channels: Interference Alignment, Decomposition, and Performance Analysis
IEEE Transactions on Information Theory
Gaussian Interference Channel Capacity to Within One Bit
IEEE Transactions on Information Theory
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
IEEE Transactions on Information Theory
The approximate capacity of the many-to-one and one-to-many Gaussian interference channels
IEEE Transactions on Information Theory
Degrees of freedom of the K user M × N MIMO interference channel
IEEE Transactions on Information Theory
MSE-based transceiver designs for the MIMO interference channel
IEEE Transactions on Wireless Communications
Hi-index | 755.02 |
The degrees-of-freedom of a K-user Gaussian interference channel (GIC) has been defined to be the multiple of (1/2)log2 P at which the maximum sum of achievable rates grows with increasing power P. In this paper, we establish that the degrees-of-freedom of three or more user, real, scalar GICs, viewed as a function of the channel coefficients, is discontinuous at points where all of the coefficients are nonzero rational numbers. More specifically, for all K 2, we find a class of K-user GICs that is dense in the GIC parameter space for which K/2 degrees-of-freedom are exactly achievable, and we show that the degrees-of-freedom for any GIC with nonzero rational coefficients is strictly smaller than K/2. These results are proved using new connections with number theory and additive combinatorics.