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The conventional sinusoidal pulse width modulation (SPWM) and the space vector PWM (SVPWM) switching techniques are widely used for power converters due to their ability to control the harmonic content of the output voltage. The most popular PWM techniques used in matrix converters are direct space vector modulation (DSVM) and indirect space vector modulation (ISVM). Since these techniques are complex and difficult to implement, there is demand for a PWM technique with minimum computation to operate matrix converters continuously. In this paper, decoupled indirect duty cycle (DIDC) PWM technique is proposed for the conventional matrix converter (CMC). This technique eliminates the duty cycle computations required for every switching period. In addition, the carrier frequency adjustment technique (CFAT) is proposed to improve the quality of both output voltages and input currents. A MATLAB-Simulink-based simulation proves the efficiency of the proposed algorithms, and an experimental setup is developed to validate them.