[PD] feedback stability..?

[Charles Henry]

If you're talking about the example of your controlled feedback
problem, then it is linear.
A linear operator, f is an operator for which
f(a*x+b*y) = a*f(x) + b*f(y)
a and b are scalars, x and y are signals

It's not a tough concept.  It's likely different from the vernacular
use of the word "linear", but it has profound implications for
analysis.

Examples of linear operators are convolution, filtering, fourier
transform, or matrix multiplication.  Linear operators have a space of
functions called eigenfunctions or eigenvectors which decompose the
operator.

Chuck


On Tue, Sep 16, 2008 at 4:49 AM, Damian Stewart <damian at frey.co.nz> wrote:
> i don't know what 'linear' means in this context. let's say, then, that no,
> it's not linear.
>
> Charles Henry wrote:
>>
>> What does blackbox~ do?  Is it linear?
>>
>>> [...]   [r~ fb]
>>> |       |
>>> |       [*~ -0.1]
>>> | ______/
>>> |/
>>> [blackbox~]
>>> |\______
>>> |       \
>>> |       [s~ fb]
>>> |
>>> [...]
>
>
>
> --
> damian stewart | skype: damiansnz | damian at frey.co.nz
> frey | live art with machines | http://www.frey.co.nz
>