Theoretical Analysis of Joint THP/pre-FDE for Single-Carrier Signal Transmissions

Frequency-Domain pre-Equalization (pre-FDE) can improve the Single-Carrier (SC) signal transmission performance in a severe frequency-selective channel. However, the performance improvement is limited by the residual Inter-Symbol Interference (ISI). The residual ISI can be eliminated by the joint use of Tomlinson-Harashima Precoding and Frequency-Domain pre-Equalization (called joint THP/pre-FDE) and its performance improvement was confirmed by computer simulation. In this paper, the authors present a theoretical analysis of joint THP/pre-FDE. The conditional Bit Error Rate (BER) for the given channel realization is derived by taking into account the modulo operation error in a receiver and the achievable BER performance is numerically evaluated.