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by nayuki
439 days ago
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> if you needed to exceed 50%, you could have just combined two different square waves I don't think this is possible. A balanced square wave has no even harmonics in the frequency domain. Anytime the duty cycle is not 0%, 50%, or 100%, you will have non-zero even harmonics. A linear combination (scaled sum or difference) of two balanced square waves will necessarily still have all even harmonics at zero, and thus cannot emulate a square wave with a duty cycle different from 50%. |
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The article is specifically trying to achieve those harmonics. This is the initial problem.
> A linear combination (scaled sum or difference) of two balanced square waves will necessarily still have all even harmonics at zero
Yea, that's why you need the phase offset, as I mentioned.
> and thus cannot emulate a square wave with a duty cycle different from 50%.
You can /synthesize/ a square wave at any duty cycle you like. We're still doing Fourier just without the whole transform.