This work proposes a new switching strategy for field oriented control of a motor driver to minimize the power of filtered error induced by finite bit resolution of the gating signal. It is shown that the conventional space vector pulse width modulation (SVPWM) is a special case of the proposed general switching strategy which has infinite bit resolution within one input period. Another special case, multi-dimensional feedback quantization modulator: MDFQM, is proposed and compared with SVPWM. The experiments in this study compared mean-square-error of motor speed, switching number of the three-phase voltage source inverter, and current waveforms. The experimental results show that MDFQM can reduce the switching number as well as the heat dissipation of the power transistors.