Golden Earring wrote: 
> So far I've learnt that you can regard a square wave in terms of the
> fundamental frequency sine wave + an infinite number of odd harmonic
> frequency sine waves each at a defined amplitude. And that for an
> acceptable working approximation you need to go as far as the 9th odd
> harmonic.

Only if you care about how the square wave *looks* on the screen of a
scope.  If what you care about is how it *sounds*, you only need
harmonics that are in the audible range.

> I've also learned that you can analyse any complex waveform into an
> equivalent set of sine waves using Fourier Transforms but the ability to
> do this on the fly may be compromised by lower frequencies and shorter
> durations of said waveform.

The precision is always finite, but that is the only way it is
compromised.



"To try to judge the real from the false will always be hard. In this
fast-growing art of 'high fidelity' the quackery will bear a solid gilt
edge that will fool many people" - Paul W Klipsch, 1953
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