English

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

Information Theory 2021-05-10 v2 math.IT

Abstract

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.

Keywords

Cite

@article{arxiv.2101.09790,
  title  = {Information Bottleneck for an Oblivious Relay with Channel State Information: the Vector Case},
  author = {Hao Xu and Tianyu Yang and Giuseppe Caire and Shlomo Shamai},
  journal= {arXiv preprint arXiv:2101.09790},
  year   = {2021}
}

Comments

12 pages, 3 figures, this paper has been accepted by ISIT 2021