Diversity-Multiplexing Tradeoff in MISO/SIMO Systems at Finite SNR

In this paper, we consider multiple-input single-output (MISO) and single-input multiple-output (SIMO) systems, and study the diversity-multiplexing tradeoff (DMT) for them at finite signal to noise ratio (SNR). To characterize the tradeoff, the outage probability versus SNR is extracted. The diversity gain is defined as the slope at a particular SNR of the outage probability versus SNR curve and the multiplexing gain is measured as the ratio of the system spectral efficiency to the capacity of an additive white Gaussian noise (AWGN) channel. This paper provides a useful tool to examine the DMT of MISO/SIMO systems in practical (finite SNR) situation.