Pulse width modulation (PWM) technique is developed for a three to seven-phase matrix converter configuration for both linear and overmodulation region. The developed modulation technique is based the carrier-based technique. The concept of carrier based scheme of a three to three phase matrix converter is extended in this paper for controlling a three-phase to seven-phase matrix converter. Two techniques are proposed, one outputs 0.75 of the input magnitude and the output reaches 0.7694 of the input with the other method. This is the maximum value of the output voltage in the linear range that can be achieved in this configuration of the matrix converter. Input side over-modulation strategy of three to seven phase matrix converter is also analyzed resulting in the increase of 4.9% of the output voltage at the expense of introduction of low order harmonics in the input currents and output voltages. The viability of the proposed control techniques is proved using analytical, simulation and experimental approach.