Cognitive Wyner Networks With Clustered Decoding

Amos Lapidoth,Michele Wigger,Nathan Levy,Shlomo Shamai Shitz

doi:10.1109/tit.2014.2345070

Amos Lapidoth, Michele Wigger + Show 2 more

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https://doi.org/10.1109/tit.2014.2345070

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Abstract

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 ).

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