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KH563 Datasheet, PDF (8/13 Pages) Cadeka Microcircuits LLC. – Wideband, Low Distortion Driver Amplifier
DATA SHEET
KH563
recognize that [taking Vi positive]
Vo = V− + Gierr Rf
solving for V− from two directions
V− = Vi − ierr Ri = (G + 1) ierr Rg
solving for ierr from this
ierr
=
Vi
(G + 1) Rg
+ Ri
then
V−
=
Vi
−
Vi Ri
(G + 1) Rg
+ Ri
and, substituting for V−and ierr in the original Vo expression
Vo
= Vi

1+

GRf − Ri
(G + 1) Rg +
Ri



pulling an Rf out of the fraction
Rg
Av
≡
Vo
Vi
= 1+ Rf
Rg



G − Ri
Rf



G
+
1+
Ri
Rg






note that Av
=
1+
Rf
Rg

G
G+
1
Ri = 0
Figure 4: Voltage Gain Derivation
Note again that if Ri = 0 this expression would simplify
considerably. Also, if G were very large the voltage gain
expression would reduce to the familiar non-inverting op
amp gain equation. These two performance equations,
shown below, provide a means to derive the design equa-
tions for Rf and Rg given a desired no load gain and out-
put impedance.
Performance Equations
Design Equations
Ro
=
Rf
+
Ri

1+
Rf
Rg
G + 1+ Ri


Rg
Av
= 1+ Rf
Rg



G − Ri
Rf


G
+
1+
Ri
Rg





Rf = (G + 1) Ro − Av Ri
Rg
=
Rf − Ro
Av −1
Equivalent Model
Given that the physical feedback and gain setting
resistors have been determined in accordance with the
design equations shown above, an equivalent model may
be created for the gain to the load where the
amplifier block is taken as a standard op amp. Figure 5
shows this analysis model and the resulting gain
equation to the load.
Vi
+
Classical
op-amp
-
Rf - Ro
Rg
Ro
Vo
RL
Vo
Vi
=

1+
Rf − Ro
Rg


RL
RL + Ro
KH560 Fig 5
substituting in for Rf and Rg with their design
equation yields
Vo
Vi
=
Av
RL
RL + Ro
=
AL
(gain to load)
Figure 5: Equivalent Model
This model is used to generate the DC error and noise
performance equations. As with any equivalent model,
the primary intent is to match the external terminal
characteristics recognizing that the model distorts the
internal currents and voltages. In this case, the model
would incorrectly predict the output pin voltage swing for
a given swing at the load. But it does provide a simplified
means of getting to the external terminal characteristics.
External Compensation Capacitor (Cx)
As shown in the test circuit of Figure 1, the KH563 requires
an external compensation capacitor from the output to
pin 19. The recommended values described here assume
that a maximally flat frequency response into a matched
load is desired. The required Cx varies widely with
the desired value of output impedance and to a lesser
degree on the desired gain. Note from Figure 2, the
simplified internal schematic, that the actual total
compensation (Ct) is the series combination of Cx and
the internal 10pF from pin 19 to the compensation nodes.
The total compensation (Ct) is developed in two steps as
shown below.
C1
=
300
Ro

1−

2.0
Rg


pF intermediate equation
Ct
=
1+
C1
(0.02)
C1
pF total compensation
8
REV. 1A January 2008