Cognitive Wyner Networks With Clustered Decoding

We study an interference network where equally numbered transmitters and receivers lie on two parallel lines, with each transmitter opposite its intended receiver. We consider two short-range interference models: the asymmetric network, where the signal sent by each transmitter is interfered only by the signal sent by its left neighbor (if present), and a symmetric network, where it is interfered by both its left and its right neighbors. Each transmitter is cognizant of its own message, the messages of the t_ℓ transmitters to its left, and the messages of the t_r transmitters to its right. Each receiver decodes its message based on the signals received at its own antenna, at the r_r receive antennas to its left, and at the r_r receive antennas to its right. For such networks, we provide upper and lower bounds on the multiplexing gain, i.e., on the high signal-to-noise ratio asymptotic logarithmic growth of the sum-rate capacity. In some cases, our bounds coincide, e.g., for the asymmetric network. Our results exhibit an equivalence between the transmitter sideinformation parameters t_ℓ, tr and the receiver side-information parameters r_ℓ, r_r in the sense that increasing/decreasing t_ℓ or t_r by a positive integer δ has the same effect on the multiplexing gain as increasing/decreasing r_ℓ or r_r by δ. Moreover-even in asymmetric networks-there is an equivalence between the left side-information parameters (t_ℓ, r_ℓ) and the right sideinformation parameters (t_r, r_r).