Interference Alignment for the Multiantenna Compound Wiretap Channel

DOI10.1109/TIT.2011.2120130zbMATH Open1366.94170arXiv1002.4548OpenAlexW1994438116MaRDI QIDQ5280940

Publication date: 27 July 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Abstract: We study a wiretap channel model where the sender has

M

transmit antennas and there are two groups consisting of

J_{1}

and

J_{2}

receivers respectively. Each receiver has a single antenna. We consider two scenarios. First we consider the compound wiretap model -- group 1 constitutes the set of legitimate receivers, all interested in a common message, whereas group 2 is the set of eavesdroppers. We establish new lower and upper bounds on the secure degrees of freedom. Our lower bound is based on the recently proposed emph{real interference alignment} scheme. The upper bound provides the first known example which illustrates that the emph{pairwise upper bound} used in earlier works is not tight. The second scenario we study is the compound private broadcast channel. Each group is interested in a message that must be protected from the other group. Upper and lower bounds on the degrees of freedom are developed by extending the results on the compound wiretap channel.

Full work available at URL: https://arxiv.org/abs/1002.4548

Mathematics Subject Classification ID

Information theory (general) (94A15) Channel models (including quantum) in information and communication theory (94A40) Coding theorems (Shannon theory) (94A24)