Capacity Bounds for the Gaussian Interference Channel
Top Cited Papers
- 6 February 2009
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 55 (2) , 620-643
- https://doi.org/10.1109/tit.2008.2009807
Abstract
The capacity region of the two-user Gaussian interference channel (IC) is studied. Three classes of channels are considered: weak, one-sided, and mixed Gaussian ICs. For the weak Gaussian IC, a new outer bound on the capacity region is obtained that outperforms previously known outer bounds. The sum capacity for a certain range of channel parameters is derived. For this range, it is proved that using Gaussian codebooks and treating interference as noise are optimal. It is shown that when Gaussian codebooks are used, the full Han-Kobayashi achievable rate region can be obtained by using the naive Han-Kobayashi achievable scheme over three frequency bands (equivalently, three subspaces). For the one-sided Gaussian IC, an alternative proof for the Sato's outer bound is presented. We derive the full Han-Kobayashi achievable rate region when Gaussian codebooks are utilized. For the mixed Gaussian IC, a new outer bound is obtained that outperforms previously known outer bounds. For this case, the sum capacity for the entire range of channel parameters is derived. It is proved that the full Han-Kobayashi achievable rate region using Gaussian codebooks is equivalent to that of the one-sided Gaussian IC for a particular range of channel parameters.Keywords
This publication has 22 references indexed in Scilit:
- On Achievable Rate Regions for the Gaussian Interference ChannelIEEE Transactions on Information Theory, 2004
- Outer Bounds on the Capacity of Gaussian Interference ChannelsIEEE Transactions on Information Theory, 2004
- The worst additive noise under a covariance constraintIEEE Transactions on Information Theory, 2001
- On limiting characterizations of memoryless multiuser capacity regionsIEEE Transactions on Information Theory, 1993
- On the Gaussian interference channelIEEE Transactions on Information Theory, 1985
- The capacity of the Gaussian interference channel under strong interference (Corresp.)IEEE Transactions on Information Theory, 1981
- A new achievable rate region for the interference channelIEEE Transactions on Information Theory, 1981
- An outer bound to the capacity region of broadcast channels (Corresp.)IEEE Transactions on Information Theory, 1978
- A case where interference does not reduce capacity (Corresp.)IEEE Transactions on Information Theory, 1975
- Broadcast channelsIEEE Transactions on Information Theory, 1972