sqr

[Synthaholic AKA The Shark]

On Wed, 3 Dec 1997 09:18:52 CST6CDT, you wrote:

>> Ok, lets suppose we have a square router.
>> O=sqr(sin(a)).
>> Now , first of all, we want to have real output, not complex.
>> So what are we going to do with the negative halve-wave of the sin?
>> And the positive halv-wave will be distorted.
>> I don't believe there is a theorem like above for muliplication or squaring,
>> i.e. we can only find a numeric solution. However, you'll end up with
>> a harmonic wave, lots of partials and never with half frequency or
>> something like that.
>

I wrote a small program to graph:

y = sqr ( sin( theta ) + 1 + C )

At different values of C, where y is mapped to the vertical axis and
theta to the x axis, and where C is varied from 0 to different
positive numbers representing varying DC offsets for each graphing.

Very interesting results;  When C is zero, the output looks *very*
similar to a rectified sine wave.  As C is increased, the wave form
becomes more and more sine like, and there is an increasing DC offset
at the output.  This DC offset could easily be removed by AC coupling.

Just food for thought.  I'm guessing that the C=0 output would be
audibly indistinguishable from one generated by a full wave rectifier
and that when C is at some high enough value, it would probably sound
at least as close to sine as some sine converter outputs.

Would this be an interesting voltage controlled distortion generator?
Who knows...

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