38 research outputs found
Cognitive Wyner Networks with Clustered Decoding
We study an interference network where equally-numbered transmitters and
receivers lie on two parallel lines, 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 transmitters to its
left, and the messages of the transmitters to its right. Each receiver
decodes its message based on the signals received at its own antenna, at the
receive antennas to its left, and the receive antennas to its
right. For such networks we provide upper and lower bounds on the multiplexing
gain, i.e., on the high-SNR asymptotic logarithmic growth of the sum-rate
capacity. In some cases our bounds meet, e.g., for the asymmetric network. Our
results exhibit an equivalence between the transmitter side-information
parameters and the receiver side-information parameters in the sense that increasing/decreasing or by a positive
integer has the same effect on the multiplexing gain as
increasing/decreasing or by . Moreover---even in
asymmetric networks---there is an equivalence between the left side-information
parameters and the right side-information parameters .Comment: Second revision submitted to IEEE Transactions on Information Theor
Interference, Cooperation and Connectivity - A Degrees of Freedom Perspective
We explore the interplay between interference, cooperation and connectivity
in heterogeneous wireless interference networks. Specifically, we consider a
4-user locally-connected interference network with pairwise clustered decoding
and show that its degrees of freedom (DoF) are bounded above by 12/5.
Interestingly, when compared to the corresponding fully connected setting which
is known to have 8/3 DoF, the locally connected network is only missing
interference-carrying links, but still has lower DoF, i.e., eliminating these
interference-carrying links reduces the DoF. The 12/5 DoF outer bound is
obtained through a novel approach that translates insights from interference
alignment over linear vector spaces into corresponding sub-modularity
relationships between entropy functions.Comment: Submitted to 2011 IEEE International Symposium on Information Theory
(ISIT