Antenna selection for differential unitary space-time modulation

This paper studies receive antenna selection (AS) for multi-antenna systems that employ differential unitary space-time signals, where the channel state information (CSI) is neither known at the transmitter nor at the receiver. We perform AS only at the receiver and the selection is based on a maximum-norm criterion, i.e. a subset of receive antennas that have the largest received signal power is chosen. Using a Chernoff bound approach, we present theoretical performance analysis based on the pairwise error probability (PEP) and quantify the asymptotic performance at high SNR by giving the diversity and coding gain expressions. We prove that with no CSI at the receiver, the diversity gain with AS is preserved for differential unitary space-time codes with full spatial diversity, the same as the case with known CSI. Corroborating simulations validate our analysis.