Hi,Can you please share the Fourier Series Analysis to obtain v_1=V/2
Just to note, the Fourier analysis is just like any other Fourier analysis, you just have to do it more times over all the pulses, and if any filtering you have to do it after the filtering.
Also just to note, it helps to be able to program in at least one computer programming language so you can set up the analysis in a program. That way you can enter in or calculate the pulse timings and use that to calculate the Fourier components numerically in loop.
You would have several pulses, so you start with the first one and then to the next, etc., until you do all the pulses.
Alternately, you create a general formula for one pulse, then use that repeatedly and that would be faster, although using a computer is fast any way you do it.
Once you do that if you like you can use several of the lower harmonics to create a plot of the expected time domain wave shape. Reducing or eliminating the higher harmonics would be almost equivalent to using a passive output filter. It's interesting to do this, and you can vary the pulse widths (in the previous step) to see the relationship between the pulse widths and the output amplitude.
It takes a little time to set all this up but it's interesting to see the results. Once you do set it up though you can experiment with different pulse timings and whatever else you care to try.
If I remember right, there is a way to set this up in LT Spice too. I don't remember offhand how we do that however I'd have to see if I still have it in my notes somewhere.