MIMO wiretap channel: A scalar approach

Abstract

Although conventional cryptographic security mechanisms are essential to the overall problem of security, the openness of wireless medium poses both threats and opportunities for securing transmission. In this paper, a Gaussian multiple input multiple output multiple eavesdropper (MIMOME) channel is considered where a transmitter is communicating 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. To do so, we transform the degraded MIMOME channel into multiple single input multiple output multiple eavesdropper (SIMOME) channels and then use scalar approach to convert it into two equivallent multiple input single output (MISO) channels. © 2009 Springer-Verlag Berlin Heidelberg.