Cognitive Wyner Networks with Clustered Decoding

Details Cognitive Wyner Networks with Clustered Decoding Cognitive Wyner Networks with Clustered Decoding

2012-03-16

arxiv.org/abs/1203.3659v2

Computer Science

Information Theory

24 pages, submitted to IEEE Transactions on Information Theory

Scientific paper

We study the uplink of linear cellular models featuring short range inter-cell interference. This means, we study $K$-transmitter/$K$-receiver interference networks where the transmitters lie on a line and the receivers on a parallel line; each receiver opposite its corresponding transmitter. We assume short-range interference by which we mean that the signal sent by a given transmitter is only interfered either by the signal sent by its left neighbor (we refer to this setup as the asymmetric network) or by the signals sent by both its neighbors (we refer to this setup as the symmetric network). We assume that each transmitter has side-information consisting of the messages of the $t_\ell$ transmitters to its left and the $t_r$ transmitters to its right, and that each receiver can decode its message using the signals received at its own antenna, at the $r_\ell$ receiving antennas to its left, and at the $r_r$ receiving antennas to its right. We provide upper and lower bounds on the multiplexing gain of these networks, i.e., on the asymptotic logarithmic growth of the sum-capacity at high-SNR. For certain setups our upper and lower bounds coincide: for example for the asymmetric network. Our results exhibit an equivalence between the transmitter side-information parameters $t_\ell$ and $t_r$ and the receiver side-information parameters $r_\ell$ and $r_r$, and an equivalence between the left side-information parameters $t_\ell$ and $r_\ell$ and the right side-information parameters $t_r$ and $r_r$. This holds also for the asymmetric network.

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