Thanks very much Ross for taking the time to look at this! There is a lot
of reading and theory so until I get some more time I personally can't
really take on board any of it to provide you with any useful comments, but
I appreciate your time.
All the best,
Andy
--
cytomic - sound music software
On 11-Nov-13 15:32, Ross Bencina wrote:
That's why I was somewhat surprised that you simply managed to
restrict the eigenvalues of the system matrix in some coordinates.
To be clear: the eigenvalues of the transition matrix only cover
time-invariant stability.
The constraint for time-varying B
Hi Vadim,
Thanks for your feedback...
On 11/11/2013 9:52 PM, Vadim Zavalishin wrote:
[snip on the analog stuff]
>
For the discrete-time case the situation is more complicated, because we
can't use the continuity of the state vector function. IIRC, I also
didn't manage to build the "worst-case"
Hi Ross,
since you opened this topic, I thought I'd try to share the intermediate
results my findings, as much as I can remember them (that was a few
years back). Most of them concern the continuous time case.
First note regarding the continuous time case is that cutoff modulations
do not af
With reference to my previous message:
It looks like there is a change of basis matrix T that can be used to
satisfy Laroche's Criterion 2 (time varying BIBO stability at full audio
rate), at least for k > 0.
T:
[ 0, 1]
[ 1, -1/1 ]
This matrix requires k > 1/1 but it seems t
Hi Everyone,
I took a stab at converting Andrew's SVF derivation [1] to a state space
representation and followed Laroche's paper to perform a time varying
BIBO stability analysis [2]. Please feel free to review and give
feedback. I only started learning Linear Algebra recently.
Here's a sli