Abstract
The degrees of freedom (DoFs) of the $K$ -user Gaussian interference channel determine the asymptotic growth of the maximal sum rate as a function of the signal-to-noise ratio. Subject to a very general sufficient condition on the cross-channel gains, we give a formula for the DoFs of the scalar interference channel as a function of the deterministic channel matrix, which involves maximization of a sum of information dimensions over $K$ scalar input distributions. Known special cases are recovered, and even generalized in certain cases with unified proofs.
| Original language | English (US) |
|---|---|
| Article number | 6940298 |
| Pages (from-to) | 256-279 |
| Number of pages | 24 |
| Journal | IEEE Transactions on Information Theory |
| Volume | 61 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 2015 |
All Science Journal Classification (ASJC) codes
- Information Systems
- Computer Science Applications
- Library and Information Sciences
Keywords
- Multiuser information theory
- Shannon theory
- degrees of freedom
- high-SNR channels.
- information dimension
- interference channel
- sumset entropy inequalities