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We consider a class of Gaussian layered networks where a source communicateswith a destination through $L$ intermediate relay layers with $N$ nodes in eachlayer in the presence of a single eavesdropper which can overhear thetransmissions of the nodes in any one layer. The problem of maximum secrecyrate achievable with analog network coding for a unicast communication oversuch layered wireless relay networks with directed links is considered. A relaynode performing analog network coding scales and forwards the signals receivedat its input. The key contribution of this work is a lemma that provides theglobally optimal set of scaling factors for the nodes that maximizes theend-to-end secrecy rate for a class of layered networks. We also show that inthe high-SNR regime, ANC achieves secrecy rates within a constant gap of thecutset upper bound on the secrecy capacity. To the best of our knowledge, thiswork offers the first characterization of the performance of secure ANC inmulti-layered networks in the presence of an eavesdropper.

Secure Analog Network Coding in Layered Networks