Backing off from rayleigh and rice: Achieving perfect secrecy in wireless fading channels

Abstract

We show that for a legitimate communication under multipath quasi-static fading with a reduced number of scatter- ers, it is possible to achieve perfect secrecy even in the presence of a passive eavesdropper for which no channel state information is available. Specifically, we show that the outage probability of secrecy capacity (OPSC) is zero for a given range of average signal-to-noise ratios (SNRs) at the legitimate and eavesdropper’s receivers. As an application example, we analyze the OPSC for the case of two scatterers, explicitly deriving the relationship between the average SNRs, the secrecy rate RS and the fading model parameters required for achieving perfect secrecy.