Julf wrote: 
> Indeed, but I would also love to hear how "the Gibbs effect only results
> in ringing at frequencies around 22.05KHz"...

Of course, but I'm trying to create a situation where honest sincerity
would work for the person asking the question without making demands on
a resource that seems highly constrained, namely technical competence.

We both know that the Gibbs effect happens in the data domain when you
suddenly cut off all of the higher order harmonics. IOW you can
demonstrate the Gibbs effect  perfectly with just math, which is more
fundamental than either analog audio or digital audio. You can do the
math in the time domain or the frequency domain and the results are the
same.

The bottom line is that the math says that when you brick wall low pass
filter a waveform a rapid change in the signal will cause ringing, and
that is how the ball bounces.  IMO the cited paragraph covers that quite
clearly and in times past I would be mystified by any failure to
comprehend.    However I have been working with placebophiles lately and
I now understand that their biases severely inhibit learning from
reliable sources.

So the question becomes how to overcome the perceptual difficulties of
placebophiles when it comes to technical discussions.  My approach this
time was to direct the discussion so that honest sincerity would be the
critical resource, not technical competence.


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