Characterization of Rate Region in Interference Channels with Constrained Power

Details Characterization of Rate Region in Interference Channels with Constrained Power Characterization of Rate Region in Interference Channels with Constrained Power

2007-01-25

arxiv.org/abs/cs/0701152v1

Computer Science

Information Theory

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

Scientific paper

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.

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