Secure Communication over 1-2-1 Networks

TL;DR

This paper analyzes secure communication capabilities in 1-2-1 network models, deriving capacity results and bounds for various configurations, including multi-beam and capacity-diverse edge scenarios, relevant for mmWave networks.

Contribution

It provides the first derivation of secure capacity for 1-2-1 networks and extends results to multi-beam and capacity-diverse edge cases.

Findings

Secure capacity derived for single-beam 1-2-1 networks.

Lower and upper bounds established for multi-beam scenarios.

Secure capacity results obtained for diamond networks with varying edge capacities.

Abstract

This paper starts by assuming a 1-2-1 network, the abstracted noiseless model of mmWave networks that was shown to closely approximate the Gaussian capacity in [1], and studies secure communication. First, the secure capacity is derived for 1-2-1 networks where a source is connected to a destination through a network of unit capacity links. Then, lower and upper bounds on the secure capacity are derived for the case when source and destination have more than one beam, which allow them to transmit and receive in multiple directions at a time. Finally, secure capacity results are presented for diamond 1-2-1 networks when edges have different capacities.