Original Message
Subject: Re: [music-dsp] Can anyone figure out this simple, but apparently
wrong, mixing technique?
From: "James McCartney"
Date: Wed, December 14, 2016 2:15 pm
To: music-dsp@music.columbia.edu
Original Message
Subject: Re: [music-dsp] Can anyone figure out this simple, but apparently
wrong, mixing technique?
From: "Ethan Fenn"
Date: Wed, December 14, 2016 12:09 pm
To: music-dsp@music.columbia.edu
Cc: "robert bristow-johnson"
On Wed, Dec 14, 2016 at 11:07 AM, James McCartney wrote:
>
>
> On Wed, Dec 14, 2016 at 11:03 AM, James McCartney
> wrote:
>
>>
>>
>> On Wed, Dec 14, 2016 at 8:47 AM, Ethan Fenn
>> wrote:
>>
>>>
>>> Another interesting family of curves is given by f(x) = x /
>>> (1+x^N)^(1/N) for even N. The fra
On Wed, Dec 14, 2016 at 11:03 AM, James McCartney wrote:
>
>
> On Wed, Dec 14, 2016 at 8:47 AM, Ethan Fenn
> wrote:
>
>>
>> Another interesting family of curves is given by f(x) = x / (1+x^N)^(1/N)
>> for even N. The fractional power is kind of annoying, but if you have a
>> hardware square root
On Wed, Dec 14, 2016 at 8:47 AM, Ethan Fenn wrote:
>
> Another interesting family of curves is given by f(x) = x / (1+x^N)^(1/N)
> for even N. The fractional power is kind of annoying, but if you have a
> hardware square root then you can compute this for N=2,4,8 easily enough.
>
extends to all
>
> * Since f'(0) != 1 for these curves, they're really more like a
> combination gain and soft clipper rather than a pure soft clipper. Does
> your approach still work if we impose the constraint that f'(0)=1?
Apologies, I see that you addressed this very thing later in your answer!
On Wed, D
Very interesting ideas Robert, thanks.
Some observations:
* Regarding the use of a polynomial to limit the range of spurious
frequency components -- a good goal, but if the input signal actually goes
outside [-1,1] this is no longer strictly true.
* Since f'(0) != 1 for these curves, they're rea
Robert,
Thanks, excellent writeup!
Now I wonder, if I drop the condition that it shall be a polynomial and replace
the term (1-u^2)^N with (0.5+0.5*cos(u*pi))^N,
wouldn’t this work in a similar way, but with less discontinous derivatives at
the endpoints 1 and -1?
Stefan
> On 12 Dec 2016, a