English

The Wiretapped Diamond-Relay Channel

Information Theory 2016-06-21 v1 math.IT

Abstract

In this paper, we study a diamond-relay channel where the source is connected to MM relays through orthogonal links and the relays transmit to the destination over a wireless multiple-access channel in the presence of an eavesdropper. The eavesdropper not only observes the relay transmissions through another multiple-access channel, but also observes a certain number of source-relay links. The legitimate terminals know neither the eavesdropper's channel state information nor the location of source-relay links revealed to the eavesdropper except the total number of such links. For this wiretapped diamond-relay channel, we establish the optimal secure degrees of freedom. In the achievability part, our proposed scheme uses the source-relay links to transmit a judiciously constructed combination of message symbols, artificial noise symbols as well as fictitious message symbols associated with secure network coding. The relays use a combination of beamforming and interference alignment in their transmission scheme. For the converse part, we take a genie-aided approach assuming that the location of wiretapped links is known.

Keywords

Cite

@article{arxiv.1606.05954,
  title  = {The Wiretapped Diamond-Relay Channel},
  author = {Si-Hyeon Lee and Ashish Khisti},
  journal= {arXiv preprint arXiv:1606.05954},
  year   = {2016}
}

Comments

30 pages, 4 figures, Submitted to IEEE Transactions on Information Theory

R2 v1 2026-06-22T14:28:56.932Z