sample-and-hold circuit simulation in MATLAB

[euniceliu]

Does anyone have ideas about how to simulate a sample-and-hold circuit using MATLAB code (not simulink)? The model I have is
Vo = Vi + (a0+a1*Vi+a2*Vi^2)*(dVo/dt).
I don't know how to derive the solution of Vo to model it? Thank you in advance.

 

[JoannesPaulus]

you need not solving the "differential equation", since it is not one!
The model is simply telling you that the output of the SHA is non-linear and it is giving some coefficients. The term "dt" is your sampling period and "dVo" is the difference Vo-Vo(n-1).

 

[euniceliu]

thank you very much! i will have a try.

Added after 33 minutes:

Hi, JoannesPaulus, I have another question. If "dVo" can be regarded as Vo-Vo(n-1), then how can I get Vo from a set of Vi since I don't know the Vo(n-1) especial when n=1. Thanks!

 

[JoannesPaulus]

If I understand correctly, what you are trying to do is a linear interpolation of your input, adding some distortion to model the effect of the non-linearity in the sample and hold circuit. So,
Vo=Vo(n-1)+(Vi-Vi(n-1))*dVo/dt is your linear interpolation, for n=2,... and Vo(1)=0;
The problem is how to model dVo, which is the local derivative of your signal. In the ideal SHA Vo=Vi and therefore dVo=dVi (but only at the sampling times). This is the easiest approximation.

 

[dick_freebird]

I think you might be better off code-modeling the various
functions and artifacts of interest, in a more straightforward
and expressive way. Why would you want to do it using
polynomial math, when you can talk sample time and slope
error, sample pedestal, through-delay and rise-fall? I bet
there's an elegant one-liner that's like a koan or something,
if you only wanted the event value and not the details.

There's probably verilog-a code out there already that you
could dig up, rip up and turn into MATLAB or whatever.