AB-179 [ETC]

AB-179 - VIDEO OPERATIONAL AMPLIFIER ; AB - 179 - 视频运算放大器\n
AB-179
型号: AB-179
厂家: ETC    ETC
描述:

AB-179 - VIDEO OPERATIONAL AMPLIFIER
AB - 179 - 视频运算放大器\n

运算放大器
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AP P LICATION BULLETIN  
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Tel: (602) 746-1111 • Twx: 910-952-111 • Telex: 066-6491 • FAX (602) 889-1510 • Immediate Product Info: (800) 548-6132  
VIDEO OPERATIONAL AMPLIFIER  
By Klaus Lehmann, Burr-Brown International GmbH  
CURRENT OR VOLTAGE FEEDBACK?  
THAT’S THE QUESTION HERE.  
In analog technology, important advances are being made in  
video operational amplifiers, both in processing and in  
circuitry. The complementary bipolar processes used by  
“Bell Laboratories” should be emphasized, which have ver-  
tically structured and approximately equal electric NPN and  
PNP transistors on one substrate. These processes help to  
create the basis for an effective complementary-symmetric  
circuit technique, which is currently obtaining its best results  
with the so-called “Diamond” structure. This structure plays  
a key role in transimpedance or current-feedback amplifiers.  
The following article is concerned exclusively with explain-  
ing these key topics and the new circuit designs.  
R
C
1
2
+VIN  
3
TA  
B
VOUT  
7
R2  
R23  
FIGURE 2. OPA as Series Connection between TA and B.  
VCC  
The following discussion will deal first with practical cir-  
cuits and then with theoretical models. It is based on publi-  
cations [5] and [6], and essays [15] and [16], written at the  
Institute for Semiconductor Technology of the Darmstadt  
Technical College, with the assistance of Diplom Engineer  
R.B. Steck.  
I
+VIN  
VOUT  
CONVENTIONAL CIRCUIT TECHNIQUES  
Figure 1 illustrates the conventional structure of a feedback  
amplifier, including the wide-band operational amplifier  
OPA discussed here. As can be seen in Figure 2, this kind of  
OPA consists of a differential amplifier TA with high-  
impedance output (7) and an impedance converter B inserted  
afterwards. The elements R and C function between them,  
determining, among other things, the open-loop gain GOL,  
slew rate, and bandwidth f–3dB. The circuit techniques of B  
are not discussed here, but it could have a structure such as  
the push-pull one shown in Figure 3.  
I
VEE  
FIGURE 3. Buffer with Push-pull Structure.  
+SRMAX = I/C  
VCC  
–SRMAX = I/C  
Figure 4 illustrates what is probably the simplest and most  
well-known structure of the differential amplifier TA. It can  
be seen in Figure 4 that the capacitor C can be charged with  
I
C
7
B
R23  
3
1
1
2
VIN  
+VIN  
1
2
3
VOUT  
OPA  
2
VOUT  
R2  
R2  
R23  
2I  
VEE  
FIGURE 4. Conventional Structure of a Differential  
Amplifier.  
FIGURE 1. Voltage-Feedback Operational Amplifier.  
©1993 Burr-Brown Corporation  
AB-179  
Printed in U.S.A. May, 1993  
bias current I for rising and falling signals. The following  
equations result from the positive slew rate SR + max. or  
negative rate SR – max:  
current-feedback amplifier. Differing input impedances can  
result in adverse performance under certain conditions, but  
these are not discussed here. The structure’s slew rate  
performance shown in Figure 7 is worth noting. In theory,  
the transfer current of C is not limited for a rising signal. In  
practice, however, a current limitation appears at 10-20-fold  
bias current, dependent upon the dimensioning in the current  
mirror D1/Tr.4.  
V  
t  
I
V
SR + max =  
SR – max =  
=
=
C[s]  
V  
t  
I
V
C[s]  
For sinusiodal signals, the largest signal change occurs at the  
zero point. The following equation results:  
VCC  
+SRMAX = I/C  
–SRMAX = I/C  
D1  
2
SRmax  
4
ˆ ˆ  
[Hz]; VpO = V  
f–3dB  
=
) )  
( (VpO  
2π  
C
B
7
Because SR + max. SR – max, a asymmetric limited  
frequency response results during large signal modulation.  
The cascaded circuit varitations also have current-limited  
modulation behavior as shown in Figure 5.  
R23  
3
1
2
+VIN  
1
2
VOUT  
R2  
2I  
I
VCC  
VEE  
+SRMAX = I/C  
2I  
–SRMAX = I/C  
FIGURE 6. Differential Amplifier with Signal Current  
Mirror.  
3
VCONST.  
+SRMAX 10I/C  
VCC  
C
–SRMAX = I/C  
D1  
B
4
7
I
C
R23  
3
B
2
1
7
+VIN  
1
2
VOUT  
R2  
1
2I  
I
R23  
2
3
1
+VIN  
5
VEE  
VOUT  
R2  
I
I
FIGURE 5. Cascaded Differential Amplifier.  
VEE  
CURRENT FEEDBACK CONCEPT  
FIGURE 7. The Current-Feedback Concept.  
The introduction of the signal current mirror diode D1/  
Transistor Tr.4, as shown in Figure 6, does not yet result in  
improvement of the SR behavior, but will prove to be useful  
later on. VBE is compensated by Tr.1 according to the  
differential amplifier principle with transistor Tr.2. The VBE  
compensation of Tr.1 is illustrated in Figure 7, along with  
the previously inserted complementary emitter follower Tr.5.  
The feedback loop can now be directly connected to the  
emitter of Tr.1. The adaptors 1 and 2 are still the inputs of  
the differential amplifier. Its impedance has now been  
changed.  
DIAMOND STRUCTURE  
Asymmetric SR performance is caused by the asymmetric  
circuit structure. A complementary-symmetric structure, as  
shown in Figure 8, attains symmetric SR values at least 10  
times higher than those of conventional structures with the  
same quiescent current. The analogies to CMOS technology  
are worth noting.  
Parameters such as frequency response, modulation capabil-  
ity, and distortion can be attained with drastically reduced  
quiescent current. This advantage plays an important role in  
portable devices, simplifies power supply equipment, and  
reduces inhouse heating, especially with respect to the de-  
velopment of increasingly small devices. The circuit shown  
in Figure 8 without B, R2, and R23, is called a Diamond  
1 = high impedance  
2 = low impedance  
The conventional voltage feedback has now become current  
feedback. This structure is designated a transimpedance or  
2
circuit, and is typical for a current-feedback amplifier. Pro-  
cesses such as correct transmission of coded color television  
signals require low phase delays dependent upon the signal  
modulation. Such phase delays can arise in circuits such as  
the one shown in Figure 7 through the voltage-dependent  
collector substrate capacity of the Tr.4.  
The circuit in Figure 10, for example, delivers the following  
as voltage feedback:  
GC100kHz = –32dB; GOL100kHz = +52dB  
As current feedback, it delivers:  
GC100kHz = +5dB; GOL100kHz = +58dB  
In the circuit shown in Figure 8, the varicap of the Tr.4 is  
largely compensated through the varicap of the complemen-  
tary Tr.8. The advantages of the current-feedback concepts,  
however, are counterbalanced by several disadvantages.  
Another problem is the size of the input voltage offset.  
±1mV is typical in circuits with voltage-feedback differen-  
tial amplifiers (Figure 6). Current-feedback circuits like the  
ones shown in Figures 7 and 8 are typical at ±50mV.  
Currently, there is no better serial “matching” between NPN  
and PNP transistors. Various suggestions have attained small  
offset voltages with circuit variations, but these resulted in  
poorer transmission characteristics. Differing early voltages  
in NPN and PNP transistors cause different mirroring in D1/  
Tr.4 and D2/Tr.8 and thus bring about an output bias current  
at point 7. This effect is a general weakness of the Diamond  
structure.  
Generally stated, applications do exist in which two high-  
impedance differential inputs are necessary. Poorer com-  
mon-mode gain is a direct result of the unequal inputs.  
+SRMAX 10I/C  
VCC  
D1  
–SRMAX 10I/C  
4
I
C
VOLTAGE FEEDBACK  
WITH THE DIAMOND STRUCTURE  
B
1
7
7
In order to make the best of the advantages of both ideas, it  
now makes sense to combine the Diamond structure and  
voltage feedback together in one structure. The current  
feedback shown in Figure 8 can be transferred to voltage  
feedback illustrated in Figure 9 by inserting the buffer B2.  
The desired combination would be attainable with a buffer  
which was “ideal” in respect to its amplitude and phase  
behavior. The amplitude behavior of the buffer shown in  
Figure 3 (with real current source I) reaches this condition  
with f–3dB 3.0 GHz (I = 1.9 mA). The phase delay continues  
to be damaged inside the control loop through the lengthen-  
ing of the signal delay time by approximately TDB2 25ps.  
The principle illustrated in Figure 9 is shown in more detail  
in Figure 10. The contrasting results of PSPICE simulations  
R23  
2
3
5
1
6
VOUT  
+VIN  
R2  
I
8
D2  
VEE  
FIGURE 8. Current-Feedback Amplifier with Diamond  
Structure.  
VCC  
+SRMAX 10I/C  
D1  
–SRMAX 10I/C  
4
I
C
B1  
1
7
R89  
R23  
9
2
3
5
1
8
+VIN  
B2  
6
VOUT  
R2  
7
I
8
D2  
VEE  
FIGURE 9. Voltage-Feedback Amplifier with Diamond Structure.  
3
conducted with current and voltage feedback are summa-  
rized in Figure 11. All simulations were carried out with  
fully equipped current sources. To give the user an over-  
view, the f–3dB frequencies are illustrated in Figure 12 depen-  
dent upon the closed-loop gain for both feedback types. The  
relatively low frequency response differences shown here do  
not concur with the assertions in many publications about  
current-feedback amplifiers. This discrepancy can be ex-  
plained by the fact that these articles place an unrealistic  
emphasis on the ability of the current-feedback concept—  
they maintain that this concept alone brought about the  
improved bandwidth. Improved technology and the Dia-  
mond structure play a more decisive role than the current-  
feedback concept.  
The first section of this article deals with the basics of  
current and voltage-feedback video operational amplifiers  
and their corresponding circuits. These practically oriented  
considerations are then followed by extensive theoretical  
analysis. The point of departure for the following models is  
the performance of Diamond structure with open loop gain  
GOL+ as shown in Figures 8 and 10. The measurement circuit  
shown in Figure 13 is used for analysis. The results are  
presented in Figure 14. The curves follow a simple model up  
to f 300 MHz, formed by the parameters gm, R2, R, and  
C. Simple modelling of the amplitude response with R and  
C is not enough to describe the phase delay. Through a row  
of additional, partially very small RC parts inside the control  
loop, more phase delays result than would occur alone with  
Buffer B2  
VCC  
I
I
I
R89  
1
2
7
3
+VIN  
8
9
VOUT  
I
I
I
VEE  
R2  
R23  
FIGURE 10. Developed Voltage-Feedback Amplifier.  
40  
f–3dB  
(GHz)  
1.0  
0.8  
0.6  
0.4  
vf  
20  
cf  
cf  
cf  
vf  
vf  
vf  
0
0.2  
2
–CGL  
(dB)  
+CGL  
(dB)  
16  
8
4
2
4
8
16  
–20  
–40  
24 18 12  
6
6
12 18 24  
FIGURE 12. Bandwidth with Current and Voltage Feedback.  
10  
30  
100  
300M  
1.0G  
3.0G  
10G  
Frequency (Hz)  
FIGURE 11. Closed Gain Progress with Current and Volt-  
age Feedback.  
4
R and C. An additional phase delay with variation of the  
amplitude response is attained through insertion of the delay  
time TD. The following equation applies to the delay time of  
a RC part:  
to form the new current source gm’ (Figure 16). The volt-  
age-feedback shown in Figure 16 varies from the current-  
feedback model (Figure 17) only in the use (or non-use) of  
the buffer in the feedback loop.  
T = [arc tg (ωRC)]/ω.  
For a better overview, the output conditions, various equa-  
tions, and optimal operating conditions are summarized in  
Table I. The derivations are described in detail [5].  
As already mentioned, if ωRC remains sufficiently small, it  
will be T RC. All of these small time constants are  
summarized in the following model to the total delay time  
TD. To be able to imagine this concretely, it is important to  
remember that small time constants always turn the phase,  
but do not necessarily damage the amplitude response con-  
sidered here.  
R
C
TD  
3
–1  
VOUT  
R23  
7
VIN  
R
C
+VIN  
1
2
gm  
gm  
1
2
3
TA  
B
R89  
R2  
VOUT  
7
8
9
C2  
R23  
R2  
FIGURE 15. Model of a Differential Amplifier Type.  
1F  
10kΩ  
gm = 2I/VT  
gm’ = 1/(R2 – 1/gm)  
G+OL = VOUT/V+IN = gm’ + R  
FIGURE 13. Circuitry for Adjustment of G+  
.
R
C
TD  
OL  
3
–1  
7
VOUT  
R23  
60  
0.01  
10  
+VIN  
1
g'm  
30  
40  
2
100  
+1  
300  
20  
R2  
R89  
0
–20  
–40  
FIGURE 16. Model of the Voltage Feedback.  
100  
1M  
10M  
100M  
1.0G  
10G  
Frequency (Hz)  
R
C
TD  
FIGURE 14. Open-Loop Frequency Response.  
3
–1  
7
VOUT  
R23  
DELAY TIME MODEL  
+VIN  
1
gm'  
The circuits with voltage feedback as shown in Figures 4, 5,  
6, and 9 are described with the model shown in Figure 15.  
The signal inversion of the current mirror in Figures 6 and  
9 is viewed in the output buffer with G = –1. The delay time  
TD is inserted here. The dependence of the transconductance  
gm on the quiescent current I varies according to circuit  
structure. In the case shown in Figure 4, for example, gm =  
I/2VΤ , while in the more interesting Figures 8 and 9, gm =  
2I/VΤ. In the next formal step, the two controlled current  
sources gm and the resistor R89 (see Figure 15) are combined  
2
R2  
FIGURE 17. Model of the Current Feedback.  
5
OPTIMAL FREQUENCY  
DIFFERENCES BETWEEN  
RESPONSE ADJUSTMENT  
CURRENT AND VOLTAGE FEEDBACK  
The equation for calculation of |AN| and the graphic values  
in Figure 18 describe the various operating conditions of the  
four amplifier variations. Normally, the optimal adjustment  
is installed. This has the following conditions:  
GCLMAX is reached for R89 0 or R2 || R23 0, which is  
practically unattainable with current feedback. Current feed-  
back usually obtains lower values for GCLMAX with otherwise  
comparable parameters. GOL0 is dependent upon GCLO. Am-  
plifiers with adjustable GCLO, such as those for gain control,  
simultaneously require correction of GOLO. Figure 19 shows  
the frequency response differences between current and  
voltage feedback according to the delay time model. In the  
case of voltage feedback, a change in R2 means a change in  
C/gm = 2 kO TD  
Internally compensated amplifiers use an integrated com-  
pensation capacitor C corresponding to the already men-  
tioned condition for the poorest case i.e. the smallest closed  
loop gain, for example kO = 1. This method is not well-suited  
to the wide-band amplifiers discussed here. The slew rate  
and large-signal frequency response are significantly re-  
duced through the compensation capacitor. From this adjust-  
ment, deviating, i.e. larger, closed-loop gain leads to re-  
duced frequency response. Amplifiers adjustable externally  
with C allow optimal adjustment with kO, but do not signifi-  
cantly improve large-signal performance. Optimal adjust-  
ment with gm avoids these disadvantages. One possible  
compromise is to insert amplifiers compensated internally  
R
89 as well. With current feedback, the gains GCLO and GOLO  
are simultaneously adjusted to one another during changes  
in R2, which can be an important advantage. Feedback  
+
buffers (GCL = +1) have no inverting input. While the  
disadvantage Oof the low impedance inverting input of the  
current-feedback concept is not significant, here the low  
circuit expenditure and quiescent current are important ad-  
vantages.  
over gm for various closed-loop gain ranges (e.g. GCL  
=
30  
1-3, 3-10, 10-30). Making the open-loop gain GOL externally  
adjustable over gm for optimal frequency response is the  
most effective solution. This can be adjusted with R89 using  
voltage feedback and with R2/R236 using current feedback.  
R2||R23  
R89  
0.01  
5.9  
f–3dB  
f–3dB  
–12  
–4  
20  
10  
11.2  
25.6  
21.5  
–2  
–1  
47.13  
74  
45.1  
74  
0
30  
20  
10  
0
–10  
–20  
–30  
780MHz  
640MHz  
10M  
30M  
100M  
300M  
1.0G  
3.0G  
10G  
R89  
|AN|opt.  
12dB/Okt.  
Frequency (Hz)  
–10  
–20  
–30  
48  
53  
70  
with internal  
C-compensation  
5dB/Okt.  
FIGURE 19. Model Frequency Response with Current and  
Voltage Feedback.  
163  
470  
10M  
30M  
100M  
300M  
1.0G  
3.0G  
10G  
Frequency (Hz)  
FIGURE 18. Adjustment of the Frequency Response.  
DIMENSIONING  
Inside the optimal adjustment range, the four amplifier  
variations have a bandwidth f–3dB, which is dependent only  
upon the additional delay time TD. The bandwidth corre-  
sponds to the model and is independent of the closed-loop  
gain GCL (Figure 19). The deviations of the model frequency  
response (Figure 19) from the simulated frequency response  
(Figure 11) result from simplified modelling (see Figure 14).  
This performance is not limited to the current feedback and  
has become practically visible through technological ad-  
vances. The first priority goes to achieving the shortest  
possible delay time TD inside the control loop. The second  
priority goes to small capacity C due to high slew rate and  
wide large-signal frequency response, as well as higher, if  
possible closed-loop gain GCLMAX  
.
6
FEEDBACK MODE  
OPERATION MODE  
MODEL CIRCUITRY  
VOLTAGE FEEDBACK  
NON-INVERTING INVERTING  
CURRENT FEEDBACK  
NON-INVERTING INVERTING  
R
C
R
C
R
C
R
C
TD  
TD  
TD  
TD  
VOUT  
VOUT  
VOUT  
VOUT  
3
3
3
3
–1  
–1  
–1  
–1  
7
7
7
7
+VIN  
+VIN  
R23  
R23  
R23  
R23  
gm'  
gm'  
gm'  
gm'  
1
1
1
1
2
2
2
2
+1  
+1  
R2  
R2  
R2  
R2  
–VIN  
–VIN  
GC+LO = 1 / k0+ = 1+ R23 / R2  
GC+L = VOUT / VI+N  
GC+LO = 1 / k0+ = 1+ R23 / R2  
GC+L = VOUT / VI+N  
GCLO = 1 / k0= 1+ R23 / R2  
GCL = VOUT / VIN  
GCLO = 1 / k0= 1+ R23 / R2  
GCL = VOUT / VIN  
CLOSED-LOOP GAIN DC  
CLOSED-LOOP GAIN AC  
GOL0 = gR; GOL = g/ ωC | f >1MHz  
OPEN-LOOP GAIN DC & AC  
TRANSCONDUCTANCE  
m
m
gm = 2 I / VT; TC = C / g′  
m
ABBREVIATIONS  
OPERATING  
TRANSCONDUCTANCE  
g′ = 1 / (R2 / /R23 +1 / gm  
)
g′ = 1 / (R89 + 2 / g)  
m
m
m
VIN = VI+N; GCL = GC+L; GCLO = GC+LO = GCLO +1; k0 = k0+ = k0/ (k0+1)  
AGREEMENTS  
(VIN – V2 ) / V7 = jωC / g; V2 = k0 VOUT; VOUT = V7 exp(– jωTD  
)
OUTPUT EQUATIONS  
m
GCL = [k0 ωTC sin(ωTD ) + jωTC cos(ωTD )]–1/2  
CLOSED-LOOP  
GAIN COMPLEX  
CLOSED-LOOP  
GAIN (Amount)  
2
GCL = [k20 + (ωTC  
)
– 2k0ωTC sin(ωTD )]–1/2  
sin(ωTD ) ≈ ωTD – (ωTD  
GCL = [k20 + TC (TC – 2k0TD )ω2 + k0TCT3D ω4 / 3]–1/2  
)
3 / 6  
APPROXIMATION  
AMOUNT OF NORMALIZED  
CLOSED-LOOP GAIN  
–1/2  
TCT3D  
3k0  
GCL  
TC  
k20  
AN  
=
=
1+  
(TC – 2k0TD )ω2  
+
ω4  
GCLO  
GCLO  
2
C
GCLO  
CONDITIONS FOR OPTIMIZED  
FREQUENCY RESPONSE  
TC – 2k0TD = 0; TD  
=
=
g′  
4πf GOL  
m
AMOUNT OF OPTIMIZED  
CLOSED-LOOP GAIN  
GCL  
= [k20 + k0TCT3D ω4 / 3]–1/2  
OPT  
–1/2  
–1/2  
AMOUNT OF NORMALIZED  
OPTIMIZED CLOSED-LOOP  
GAIN  
GCL  
C / g′  
2
T3Dω4  
=
1+ TD4 ω4  
OPT  
m
AN  
=
=
1+  
OPT  
GCLO  
3k0  
3
AMPLIFIER  
CHARACTERISTIC VALUES  
I; R; C; TD  
R89  
R89  
BLOCK DIAGRAM  
8
8
+VIN  
+VIN  
1
2
1
2
1
1
VOUT  
VOUT  
VOUT  
VOUT  
9
9
VFA  
VFA  
CFA  
R23  
CFA  
3
3
3
3
2
2
R2  
R23  
R2  
R23  
R2  
R2  
–VIN  
R23  
–VIN  
OPEN-LOOP GAIN DC FOR  
OPTIMIZED FREQUENCY  
RESPONSE  
RC  
RC  
RC  
RC  
GOL0 = GC+L0  
GOL0 = (GCL0 +1)  
GOL0 = GC+L0  
GOL0 = (GCL0 +1)  
2TD  
2TD  
2TD  
2TD  
2TD  
VT  
2I  
2TD  
VT  
– (GCLO +1)  
2TD  
VT  
2TD  
VT  
2I  
ADJUSTMENT FOR OPTIMAL  
FREQUENCY RESPONSE  
R23  
R23  
=
– GC+LO  
R23  
R23  
=
R89  
R89  
=
R89  
R89  
=
(GCLO +1)C  
I
GC+LO  
C
C
I
C
C
2TD  
GC+LO  
2TD  
(GCLO +1)C  
2TD  
C
2TD  
C
METHOD OF APPROXIMATION  
FOR GCLO 1  
2I TD  
2I TD  
4I TD  
4I TD  
GCLO max  
= 1  
MAX ATTAINABLE OPTIMIZED  
CLOSED-LOOP GAIN  
GCLO max  
=
–1  
GC+LO max  
=
GC+LO max  
=
VT  
C
VT C  
VT  
C
VT C  
BANDWIDTH OF THE  
OPTIMIZED RESPONSE  
f–3dB = 0.176/TD  
TABLE I. Summary of the Basis and Result of the Delay Time Model.  
7
LITERATURE  
[9] Nelson, D.;  
US-Patent, No. 4 502 020; Feb. 26, ’85  
[1] Friedrich, H.;  
Elektronik 87,vol. 26  
Das Zauberwort heißt Transimpedanz-Verstärker  
(The Magic Word is Transimpedance Amplifiers)  
[10] Nelson, D.;  
US-Patent, No. 4 628 279, Dec. 9, ’86  
[11] Nelson, D.;  
US-Patent, No. 4 713 628; Dec. 15, ’87  
[2] Goodenough, F.;  
Electronic Design 87, April 16, pp. 59…  
[12] Palmer, W.;  
Electronics 88, Jan. 7,pp. 151…  
Transimpedance amps: fast yet accurate  
[13] Saller, K.;  
US-Patent, No. 4 639 685, Jan. 27, ’87  
[14] Shattock, R.;  
[3] Goodenough, F.;  
Electronic Design 87, Oct. 29, pp. 67…  
Exotic ICs put 200MHz signals, 15ns settling in  
everyday jobs  
[4] Goodenough, F.;  
Electronic Design 88, vol. 2, pp. 29…  
A slew of new high performance op amps shatters  
speed limits  
Electronic Engineering 86, Mar., pp. 59…  
A novel design approach to high frequency op amps  
[15] Schwehr, S.; Sibrai, A.;  
[5] Lehmann, K.;  
Studienarbeit p. 48, TH Darmstadt 88, Inst. f.  
Halbleitertechnik Entwurf und Layouterstellung eines  
Video-Operationsverstärkers in komplementärer  
Bipolartechnologie. (Design and Layout of a Video  
Operational Amplifier in Complementary Bipolar  
Technology)  
Elektronik 80, vol. 24, pp. 101…  
Berechnung des Frequenzganges von Video-  
Operationsverstärkern (Calculation of the Frequency  
Response of Video Operational Amplifiers)  
[6] Lehmann, K.;  
Elektronik 80, vol. 26, pp. 81…  
Schaltungstechnik von Video Operationsverstärkern  
(Circuit Techniques with Video Operational  
Amplifiers)  
[16] Sibrai, A.;  
Diplomarbeit D56, TH-Darmstadt 1/89,  
Inst. f. Halbleitertechnik  
Makromodellierung von Video-Operationsverstärkern  
in komplementärer Bipolartechnologie (Macro Model  
of Video Operational Amplifiers in Complementary  
Bipolar Techonolgy)  
[7] Moser, K.D.;  
eee-Bauelemente 87,vol. 23, pp. 22…  
Neuartige Operationsverstärker (New Kinds of  
Operational Amplifiers)  
[17] Yee, S.;  
[8] Nelson, D.;  
US-Patent, No. 3 418; Dec. 24, ’68  
US-Patent, No. 4 358 739, Nov. 9,’82  
8

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