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In this work, we analyze the secrecy outage performance of a dual-hop relaysystem composed of multiple-input-multiple-output radio-frequency (RF) linksand a free-space optical (FSO) link while a multiple-antenna eavesdropperwiretaps the confidential information by decoding the received signals from theresource node. The channel state information (CSI) of the RF and FSO links isconsidered to be outdated. We propose three transmit antenna selection (TAS)schemes to enhance the secrecy performance of the considered systems. Thesecrecy outage performance with different TAS schemes is analyzed and theeffects of misalignment and detection technology on the secrecy outageperformance of mixed systems are studied. We derive the closed-form expressionsfor probability density function (PDF) and cumulative distribution function(CDF) over M\'alaga channel with imperfect CSI. Then the closed-formexpressions for the CDF and PDF of the equivalent signal-to-noise ratio (SNR)at the legitimate receiver over Nakagami-$m$ and M\'alaga channels are derived.Furthermore, the lower bound of the secrecy outage probability (SOP) withdifferent TAS schemes are derived. Besides, the asymptotic results for SOP areinvestigated by exploiting the unfolding of Meijer's $G$-function when theelectrical SNR of FSO link approaches infinity. Finally, Monte-Carlo simulationresults are presented to testify the correctness of the proposed analysis. Theresults illustrate that the outdated CSI shows a strong effect on the secrecyoutage performance. In addition, increasing the number of antennas at thesource cannot significantly enhance the secrecy performance of the consideredsystems.

On Secure Mixed RF-FSO Systems With TAS and Imperfect CSI