Getting the components of a sum of square waves

AI Thread Summary
To extract individual component square waves from a resultant waveform, the inverse Fourier transform is suggested as a potential method. However, there is uncertainty about its effectiveness for square waves specifically, as the discussion hints at complexities beyond standard Fourier analysis. The conversation indicates a need for further exploration of mathematical operations that could isolate these components. Participants express confusion about the applicability of the inverse Fourier transform in this context. The discussion underscores the challenge of decomposing complex waveforms into their fundamental square wave components.
rollingstein
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If I have a periodic function that is say a sum of a number of sine functions I can use a Fourier Transform to get the component functions.

Now, if I have a bunch of square waves of differing amplitudes and frequencies that I add up into a resultant waveform. Given that waveform what'd be the mathematical operation to get at its individual component square waves? Is there any?
 
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Surely you just mean the 'inverse Fourier transform'?
 
HallsofIvy said:
Surely you just mean the 'inverse Fourier transform'?

I think not; but now I'm confused. I'll read / think more and get back. Thanks!
 

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