ELCT 1003:High Speed Electronic Circuit
Lecture 8: Compensation of some Operational-Amplifier for High-Frequency Applications
(continued)
Dr. Mohamed Abd El Ghany, Department of Electronics and Electrical Engineering
Frequency Response of inverting
Amplifier
2Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
)(
VVAVo
ELCT 1003: High Speed
Electronic Circuits
Vin
Vo
R βR
0
V
oinVVV
1
1
1
oin
o VVA
V
1
1
10
inoVV
A 11
11
A
V
V
in
o
)1(1
1
Frequency Response of inverting
Amplifier
3Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
Vin
Vo
R βR
Sw
s
T
)1(1
1)(
A
V
V
in
o
)1(1
1
jwjw
1
1)(
Tw
1
Phase error:
)(tan 1 w
1, ww
gain error:
11
122
wg
1,2
1 22
wwg
Compensated inverting Amplifier
4Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
Vin
Vo
R βR
)(
VVAVo
0)()0(
1//
)(
R
VV
SC
V
SCR
VVoin
R
V
A
V
R
SC
SCR
SCR
SCR
SCR
V oo
in
1
1
1
1
1
1) Passive Compensation (Wilson)
AC
C/β
)(
VAVo
A
VV o
Compensated inverting Amplifier
5Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
Vin
Vo
R βR
ASCRRCS
RCSA
V
V
in
o
1)1(
)1(
2)1()1(1
1)(
RCSw
Sw
RCSS
TT
1) Passive Compensation (Wilson)
AC
C/βSCRA
RCSA
V
V
in
o
)1(1
)1(
SCRAA
RCS
V
V
in
o
)1(11
)1(
Compensated inverting Amplifier
6Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
Vin
Vo
R βR
2)1()1(1
1)(
RCSw
Sw
RCSS
TT
1) Passive Compensation (Wilson)
AC
C/βFor minimum phase error
RCw
T
)1(
TRw
C)1(
221
1)(
SS
SS
33 w
22
wg
Compensated inverting Amplifier
7Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
1) Active Compensation
2
21
21
1
1
2
2
1
)1)(1(11
11
Sww
Sw
Sw
V
V
TTT
T
in
o
Vo
Vin R β1R
β2R
R
A1
A2
Frequency Response of Inverting
Integrator
8Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
)(
VVAVo
AVo
CR
SC
V
R
Voin
1
For ideal op-amp
SCRV
V
in
o1
0
V
oinV
SCR
RV
SCR
SCV11
1
oinV
SCR
SCRV
SCRV
11
1
o
ino VSCR
SCR
SCR
V
A
V
110
SCR
VV
SCR
SCR
A
Vin
o
o
11
Frequency Response of Inverting
Integrator
9Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
AVo
CR
SC
V
R
Voin
1
For ideal op-amp
SCRV
V
in
o1
SCR
VV
SCR
SCR
A
Vin
o
o
11
SCR
V
SCRA
SCRASCRV in
o
1)1(
1
ASCR
A
SCRSCRASCR
A
V
V
in
o
11
1
1
ASCR
SCRV
V
in
o
11
1
11
SwSCR
s
T
11
1
1)(
Frequency Response of Inverting
Integrator
10Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
AVo
CR
CRw
B
1
a)Phase error
1T
B
w
w
TT
T
w
S
CRwSwSCR
s
1
1
1
11
1
1)(
TT
B
w
S
w
ws
1
1)(
Tw
Ss
1
1)(
b)gain error
0)(tan 1
Tw
w
1, TT
w
w
w
w
1
1
12
Tw
wg
1,2
12
TTw
w
w
wg
Compensated Inverting Integrator
11Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
1)Passive Compensation
)(
VVAVo
Vo
C
R
A
VinC1
ooV
SRC
SRCV
SCR
RV
1
1
1
11
oinV
SCR
RV
SCR
SCV11
1
o
in VSCR
SCR
SCR
VV
11
o
in
o
o VSCR
SCR
SCR
VV
RSC
RSC
A
V
1111
1
Compensated Inverting Integrator
12Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
1)Passive Compensation
Vo
C
R
A
VinC1
SCRA
CCRSCCSR
C
C
SRC
SCRV
V
in
o
1
22
11
1
)(1)1(
)1(1
Assume
S
wA T
CRw
B
1
RCw
1
1
1, ,
1
2
11
1
)1(1
)1(
)(
ww
S
w
w
w
S
w
w
w
w
w
S
S
T
B
TT
BB
Compensated Inverting Integrator
13Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
1)Passive Compensation
Vo
C
R
A
VinC1
1
2
11
1
)1(1
)1(
)(
ww
S
w
w
w
S
w
w
w
w
w
S
S
T
B
TT
BB
For minimum phase error
)1(11
11w
w
ww
B
T
TT
B
www
w
w
11
11
BTwww
1
BTwww
RC
11
1
1
Tw
RC1
1 Find 𝜑, g𝜖 ?
Compensated Inverting Integrator
14Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
1)Active Compensation
For Op-Amp 1
0
V
1VV
CR
A1
A2
Vo
Vin V1
inV
SCR
SCV
SCR
RV
1
1
1 1
For Op-Amp 2
oVV
Compensated Inverting Integrator
15Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
1)Active Compensation
1
2
1 VVA
Vo
1
2
2
)1
1)(1
1(
1
11
1
A
SCRA
A
SCRV
V
in
o
CR
A1
A2
Vo
Vin V1
SCR
VV
SCR
SCR
A
Vino
110
1
1
oV
AV )1
1(
2
1
ino
o VV
A
SCRSCR
A
V
2
11
1
)1(
Compensated Inverting Integrator
16Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
1)Active Compensation
1
2
2
)1
1)(1
1(
1
11
1
A
SCRA
A
SCRV
V
in
o
CR
A1
A2
Vo
Vin V1
Sw
S
w
w
S
w
S
S
T
B
T
T
1
2
2
)1)(1(
1
1
)(
CRw
B
1
21
2
2111
2
)1
(1
1
)(
TTTT
B
TT
B
T
ww
S
ww
w
wS
w
w
w
S
S
21
,TTB
www
Compensated Inverting Integrator
17Dr. Mohamed Abd el Ghany
Department of Electronics and Electrical Engineering
ELCT 1003: High Speed
Electronic Circuits
1)Active Compensation
C
R
A1
A2
Vo
Vin V121
2
2111
2
)1
(1
1
)(
TTTT
B
TT
B
T
ww
S
ww
w
wS
w
w
w
S
S
21,
TTBwww
21
2
1
2
11
1
)(
TTT
T
ww
S
wS
w
S
S
For minimum phase error
21 TTww
3
Tw
w
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