A new look at the voltage synthesis using the Conventional Matrix Converters - Part 1

I would like to propose two animations. The first one shows that pulse width modulation for matrix converters can be built based on the Hilbert transform instead of the Clarke transform. The file named {IeeeDataPort_1_DirectModulation_CMC3x3_animation_R2020b.m} is an animation of the exemplary rotation of input and output vectors. In the geometric arrangement shown, a smooth interpolation can be used to calculate the PWM duty cycles. The modification of the reference voltage formula leads to other interesting modulation properties. The second file, {IeeeDataPort_1_DAV_Modulation_CMC3x3_animation_R2020b.m}, shows modulation to increase the voltage transfer. Both attached files have their versions for Matlab R2020b and R2014a.