Abstract

Information theoretic security attracts researchers for its robust nature and multiple input multiple output (MIMO) channel in the presence of multiple eavesdropper offers an unveiled research area. In this paper, a Gaussian multiple input multiple output multiple eavesdropper (MIMOME) channel is considered where a transmitter communicates to a receiver in the presence of an eavesdropper. We present a technique for determining the secrecy capacity of the MIMO channel under Gaussian noise. We transform the degraded MIMOME channel into multiple single input multiple output (SIMO) Gaussian wiretap channels and then use scalar approach to convert it into two equivalent multiple input single output (MISO) channels. The secrecy capacity model is then developed for the condition where the transmitter has both the main and eavesdropper channel state information (CSI).

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