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Characterization of Rate Region in Interference Channels with Constrained Power

Hajar Mahdavi-Doost·Masoud Ebrahimi·Amir K. Khandani
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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.

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Hajar Mahdavi-Doost, Masoud Ebrahimi, Amir K. Khandani. 2007-01-25. Characterization of Rate Region in Interference Channels with Constrained Power. https://doi.org/10.1109/isit.2007.4557585

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