On the achievable secrecy throughput of block fading channels with no channel state information at transmitter

We study the block fading wire-tap channel, where a transmitter sends confidential messages to a legitimate receiver over a block fading channel in the presence of an eavesdropper, which listens to the transmission through another independent block fading channel. We assume that the transmitter has no channel state information (CSI) available from either the main channel or the eavesdropper channel. The transmitter uses an in advance given Wyner secrecy code (instead of adapting the code based on CSI). In this case, both reliability and perfect secrecy can be achieved only for a subset of channel states. We identify this channel state set and provide an achievable average secrecy throughput of the block fading wire-tap channel for given reliability and secrecy outage probabilities.