Ergodic Capacity of Space–Time Line Code Systems With Transmit Antenna Selection

Since a novel diversity technique called a space–time line code (STLC) was invented, previous studies have focused on the analysis of a
rate-1
STLC assuming
two
receive antennas. For the state-of-the-art STLCs with transmit antenna selection (TAS), in this study, the ergodic capacities of TAS-STLC systems with
various code rates
are mathematically derived, not only for a TAS-STLC system with two receive antennas but also for those with
three
or
four
. To this end, the probability density function of the instantaneous signal-to-noise ratio was characterized. The accuracy of the mathematical analysis was validated by a numerical simulation. This study is significant for investigating the fundamental performance of TAS-STLC systems.