The course handouts and book show the formula for the impedance of
a digital capacitor, Zc(s).
Capacitance Cc
Period To
Set values of Cc and To
Zcf(f) is a plot of frequency response in Hz
plot frequencies
observed Zcf= ??
percent difference in Im{Zcf}= ??
|Q|= ???
A key advantage of digital non-Foster circuits is the ability to create
difficult devices, such as non-Foster devices.
A common non-Foster device is the negative capacitor,
and all we need to do is change the sign of C in theformula.
This is plotted below.
Set values of Cc and To
plot frequencies
observed Zcf= ??
percent difference in Im{Zcf}= ??
|Q|= ???
The course handouts and book show a prony method of synthesizing an RC impedance, with R=8, C=0.5 F, T=1 s.
initialize a and b
Solution for A
Solution for B
H(z)
define your RC filter
General form of digital impedance
Zcf(f) is a plot of frequency response in Hz
plot frequencies
using the same number of rows and columns as above,
and show the new G-matrix below:
The course handouts and book show how to convert H(z) into state-variable form with state-variable vector/matrices A, B, C, D.
suppose that
compute the state-variable vector/matrices A, B, C, D for the controllable cannonical form, as given in class