Title :
Approximate Secrecy Capacity of Gaussian Parallel Relay Networks
Author :
Schrammar, Nicolas ; Skoglund, Mikael
Author_Institution :
ACCESS Linnaeus Centre, School of Electrical Engineering, KTH Royal Institute of Technology, Stockholm, Sweden
Abstract :
We consider a Gaussian relay network, which has to protect the message from a powerful eavesdropper, which has the possibility of listening to the transmitted signals on orthogonal channels. The secrecy capacity of the Gaussian network is approximated by considering the corresponding network in the deterministic discrete superposition model. Upper and lower bounds on the secrecy capacity are found in terms of the deterministic model, which are potentially easier to evaluate. We perform this evaluation for the particular topology of the parallel relay network, where the relays form a parallel layer between the source and the destination. By analyzing the deterministic model, we approximate the secrecy capacity within a constant gap. The approximation can be expressed just in terms of the channel gains of the network. It is therefore possible to deduct that the simple scheme of hiding the transmitted signals in noise is approximately optimal.
Keywords :
Approximation methods; Channel capacity; Channel models; Communication system security; Relay networks (telecommunications); Wireless communication; AWGN channels; channel capacity; channel models; communication networks; communication system security;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2015.2468216