[sdiy] Walsh Functions/EN S-008

[Andrew Simper]

I think it's a common problem when talking about linear / non-linear as it
applies to both changing the relative phases of the signal, as well as
altering the harmonic content of the signal.

It's just like talking about 32/64 bit when it comes to a program itself or
the floating point computation contained in it ;)

Andy

On Fri, Sep 15, 2017 at 7:01 PM Tom Wiltshire <tom at electricdruid.net> wrote:

> Hi Bernie,
>
> What I meant was that if the phase of the harmonics is the same in both
> the start and destination waveforms (As an example, take a ramp and a
> square) then the amount of each harmonic during the crossfade is linear. So
> in our example, if you look at the amount of the 2nd harmonic, it decreases
> linearly as we crossfade to a square.
>
> This is *not* true if you choose waveforms that have differing phases for
> the harmonics.
>
> Sorry, this stuff is easier to explain with pictures!
>
> Regards,
> Tom
>
>
> ==================
>        Electric Druid
> Synth & Stompbox DIY
> ==================
>
> > On 15 Sep 2017, at 03:24, Bernard Arthur Hutchins Jr <bah13 at cornell.edu>
> wrote:
> >
> > Tom - you said:
> >
> > " For this reason I’ve been looking at the way shifting the phase of the
> harmonics in a waveform affects the crossfade between one waveform and
> another - suddenly something that was previously a simple linear crossfade
> becomes non-linear and more interesting,. . . . "
> >
> > Why are you saying "non-linear".  It would break a LTI requirement (but
> only slightly if done relatively slowly, as most crossfades are).  It would
> be the time varying aspect that is violated, not linearity. And this is
> already broken in any crossfade (a differing mix at time progresses). What
> am I missing?
> >
> > - Bernie
>
>
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