Re: [music-dsp] Time Varying BIBO Stability Analysis of Trapezoidal integrated optimised SVF v2

2013-11-13 Thread Andrew Simper
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

Re: [music-dsp] Time Varying BIBO Stability Analysis of Trapezoidal integrated optimised SVF v2

2013-11-11 Thread Vadim Zavalishin
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

Re: [music-dsp] Time Varying BIBO Stability Analysis of Trapezoidal integrated optimised SVF v2

2013-11-11 Thread Ross Bencina
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

Re: [music-dsp] Time Varying BIBO Stability Analysis of Trapezoidal integrated optimised SVF v2

2013-11-11 Thread Vadim Zavalishin
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

Re: [music-dsp] Time Varying BIBO Stability Analysis of Trapezoidal integrated optimised SVF v2

2013-11-10 Thread Ross Bencina
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