Required Transmit Power Applying Tomlinson-Harashima-Precoding in Scalar and MIMO Broadcast Systems

Tomlinson-Harashima-precoding can be used as dirty-paper-coding method for transmissions over a broadcast channel. However, applying it to the individual user messages the final transmit power may vary from the sum of single user powers. This paper investigates the required transmit power for Tomlinson-Harashima-precoding in two user broadcast systems. Additionally, upper and lower bounds on the required power are derived. First our considerations are done in scalar channels. Then we extend the results to MIMO systems. In order to judge the performance of THP applied as broadcast technique we finally determine the achievable user rates.