On Capacity Regions of Interference Channels with Mismatched Local Views

Computer Science – Information Theory

Scientific paper

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submitted to IEEE Transactions on Information Theory

Scientific paper

We study the capacity regions of two-user interference channels where transmitters base their transmission decisions on local views of the channel state. Under the local view model, each transmitter knows only a subset of the four channel gains, which may be mismatched from the other transmitter. We consider a set of seven local views, and find that for five out of the seven local views, TDMA is sufficient to achieve the capacity region of the deterministic interference channel. Conversely for these five views, no policy can achieve a rate point outside the TDMA region without inducing a corner case of sub-TDMA performance in another channel state. The common trait shared by the two remaining local views - those with the potential to outperform TDMA - is transmitter knowledge of the outgoing interference link, emphasizing its importance in creating opportunities to use more advanced schemes. Our conclusions are extended to bounded gap characterizations of the capacity region for the Gaussian interference channel.

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