[sdiy] Walsh Functions/EN S-008

[Tom Wiltshire]

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