en 5-Mobile Communications Mobile Communications Research Paper Research Paper <span style="font-family:'Times New Roman'">Low cost, energy efficiency, and resilience of constant-envelope modulations to non-linearity of power amplifiers make them attractive in multi-antenna multiuser systems, including massive MIMO configurations, of 5G and beyond. &nbsp;Unfortunately, constant-envelope modulation conflicts with multi-user interference precancellation in downlink direction. &nbsp;Phase shift keying (PSK) modulation using 1-bit digital-to-analog converters has been proposed for massive MIMO applications, which tackle this problem by solving a combinatorial problem in each channel use. &nbsp;In this paper, we propose a linear zero-forcing and a non-linear zero-forcing Tomlinson-Harashima precoder (THP)-based precoding scheme for downlink multiuser MIMO systems with PSK modulation. &nbsp;Perfect per-symbol multi-user interference cancellation is achieved which allows reaching high throughput at minimal delay, cost, and complexity. &nbsp;The precoder structure is relatively easy to implement and the precoding process is straightforward matrix calculation. &nbsp;The proposed structures provide power control ability for the users allowing them to reach their desired SNR within the SNR region. &nbsp;Also, the SNR region is characterized in a constructive fashion. &nbsp;Our analytical and simulation results show that the multi-user interference is cancelled perfectly and the bit-error rate decreases without bound as SNR increases.</span> 5G and beyond, Massive MIMO, Multiuser Interference Cancellation, Wireless Cellular Networks, PSK, Tomlinson-Harashima Precoder. 3804 3804 http://ijeee.iust.ac.ir/browse.php?a_code=A-10-3161-2&slc_lang=en&sid=1 Amir R. Forouzan a.forouzan@eng.ui.ac.ir Yes Department of Electrical Engineering, University of Isfahan, Isfahan, IRAN Ramin Salimijazi r.salimijazi91@gmail.com No Department of Electrical Engineering, University of Isfahan, Isfahan, IRAN Mohamad Farzan Sabahi sabahi@eng.ui.ac.ir No Department of Electrical Engineering, University of Isfahan, Isfahan, IRAN