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Information Bottleneck for an Oblivious Relay with Channel State Information: the Vector Case

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arxiv 2101.09790 v2 pith:ACJRUF6F submitted 2021-01-24 cs.IT math.IT

Information Bottleneck for an Oblivious Relay with Channel State Information: the Vector Case

classification cs.IT math.IT
keywords bottleneckchannelinformationrelayachievablebounddestinationnode
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This paper considers the information bottleneck (IB) problem of a Rayleigh fading multiple-input multiple-out (MIMO) channel. Due to the bottleneck constraint, it is impossible for the oblivious relay to inform the destination node of the perfect channel state information (CSI) in each channel realization. To evaluate the bottleneck rate, we provide an upper bound by assuming that the destination node can get the perfect CSI at no cost and two achievable schemes with simple symbol-by-symbol relay processing and compression. Numerical results show that the lower bounds obtained by the proposed achievable schemes can come close to the upper bound on a wide range of relevant system parameters.

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