Characterization of Rate Region in Interference Channels with Constrained Power

Abstract

In this paper, an $n$-user Gaussian interference channel, where the power of the transmitters are subject to some upper-bounds is studied. We obtain a closed-form expression for the rate region of such a channel based on the Perron-Frobenius theorem. While the boundary of the rate region for the case of unconstrained power is a well-established result, this is the first result for the case of constrained power. We extend this result to the time-varying channels and obtain a closed-form solution for the rate region of such channels.

21 Pages, The Conference Version is Submitted to IEEE International Symposium on Information Theory (ISIT2007)

References in corpus (1)

• Characterization of Rate Region in Interference Channels with Constrained Power

Cited by in corpus (4)

• Characterization of Rate Region in Interference Channels with Constrained Power
• Optimal Order of Decoding for Max-Min Fairness in $K$-User Memoryless Interference Channels
• A Characterization of Max-Min SIR-Balanced Power Allocation with Applications
• A Geometrical Description of the SINR Region of the Gaussian Interference Channel: the two and three-user case