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Feedback Capacity of the Gaussian Interference Channel to Within 2 Bits

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2 Author(s)
Changho Suh ; Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, CA, USA ; Tse, D.N.C.

We characterize the capacity region to within 2 bits/s/Hz and the symmetric capacity to within 1 bit/s/Hz for the two-user Gaussian interference channel (IC) with feedback. We develop achievable schemes and derive a new outer bound to arrive at this conclusion. One consequence of the result is that feedback provides multiplicative gain at high signal-to-noise ratio: the gain becomes arbitrarily large for certain channel parameters. This finding is in contrast to point-to-point and multiple-access channels where feedback provides no gain and only bounded additive gain respectively. The result makes use of a linear deterministic model to provide insights into the Gaussian channel. This deterministic model is a special case of the El Gamal-Costa deterministic model and as a side-generalization, we establish the exact feedback capacity region of this general class of deterministic ICs.

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Information Theory, IEEE Transactions on  (Volume:57 ,  Issue: 5 )