The effects of channel estimation on Tomlinson-Harashima precoding in TDD MIMO systems

We develop an analytical method to evaluate the symbol error rate (SER) of Tomlinson-Harashima precoding (THP) for a multiple transmit antenna system operating in a time division duplex (TDD) mode. By making small error assumption the noise due to the channel estimation error for a given channel is investigated thoroughly, which enables one to calculate the SER with channel estimation error.