Performance Analysis of Space-Time Block Coded Joint Tx/Rx Diversity Using Optimal Transmit FDE in Presence of Channel Estimation Error

Single-carrier (SC) transmission using frequency-domain space-time block coded joint transmit/receive diversity (FD-STBC-JTRD) combined with transmit frequency-domain equalization (FDE) obtains full spatial diversity gain and frequency diversity gain. Recently, we derived the optimal transmit frequency-domain equalization (FDE) for SC FD-STBC-JTRD and showed that the optimal transmit FDE, which uses multiple weight matrices corresponding to multiple coded blocks in a STBC code-word, achieves the received signal-to-interference plus noise power ratio (SINR) 1/RSTBC times higher than the conventional transmit FDE which uses the single weight matrix over a STBC code-word, where RSTBC denotes the STBC code rate. However, our past study of SC FD-STBC-JTRD with the optimal transmit FDE assumed ideal channel estimation. In this paper, we provide theoretical analysis of the received SINR and the conditional bit error rate (BER) of SC FD-STBC JTRD with cyclic delay pilot channel estimation (CDP-CE) and discuss the impact of channel estimation error. Then, we evaluate, by computer simulation, the average BER performance when using SC FD-STBC-JTRD with the optimal transmit FDE and show that the optimal transmit FDE can achieve the received SINR 1/RSTBC times higher than the conventional transmit FDE even in the presence of the channel estimation error.