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8/12/2019 Analog Lect 35-36-26042012 High Frequency Amplifiers
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Introduction
Cascode Amplifier
High Speed High Frequency Op-amps
Tuned Amplifiers
Single Tuned Amplifiers
Multiple Tuned Amplifiers
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Frequency Response of an Amplifier
3
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High Frequency hybrid -model
B
E
C
G
S
D
4
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High Frequency hybrid -model of BJT
jojeBE
T
C
F
CFdc
C2)/VV-(1
Cjo
ecapacitancjunctionemitter-baseCje
voltagethermalV
currentcollector-I
imetransit tbaseforward-
IecapacitancdiffusionC
m
T
jedc
Vwhere
CCC
0.5to0.2junctionbase-collector
theoftcoefficiengradingtheismwhere
)/VV-(1
oC
ecapacitancjunctionbase-collectorC
jcCB
m
5
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High Frequency hybrid -model of FET
gdgs
mT
oxovgdgs
oxovgdoxovoxgs
ox
ov
ox
oxovoxgdgs
CC
g
productbandwidthgain-Unity
CWL0CC
:regionoff-Cut
CWL0CandCWLWLC3
2C
ecapacitancoverlapWLC
layeroxideunder thedrainandsourcetheoflengthoverlaptheisL
ecapacitanclayeroxideisCwhere
CWLWLC21CC
:regionOhmic
:regionActive
6
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Comparison of three Amplifier configurations
7
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Cascode Amplifier
Bss'
B
B'
R||r||RR
R||
R||
s
s
s vrR
rV
8
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CR2
1f
bygiveniscircuitoutputtoduefrequencyoff-cutThe
C whereCR2
1f
bygiveniscircuitinputtoduefrequencyoff-cutThe
outL
2
T
TS'1
inCC
CAAC
CAC
v
vout
vin
1
)1(
9
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10
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LCL' R||RR
11
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11
-A
thenidentical,betorstransistowoconsider tweIf
1
rg
)v(1
rvg-A
v1
2
2m1
12
21m11v1
iv
v
2
'3
22e2
22
2
inT
T
'1
1in1
C2
1
fiscircuitoutputtoduefrequencycutoffThe
)/(1rr whereC2
1f
iscircuitinterfacetoduefrequencycutoffThe
CCC whereC2
1f
iscircuitinputtoduefrequencycutoffTheC2Cisinputat thereflectedCtheThus
L
e
S
R
r
R
12
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BS
BL'
m
s
ovs
2
2m2
s
Bs
Bs'
1
2
L'
21m1m2
s
L'
2m2
s
o
R||rR
)R||(rRg-
v
vA
rs,transistoidenticalFor
11
rg
vR||rR
R||rvv
)1(
R)vv(gg-
v
Rvg-
v
v
and
Now
vA
s
vs
13
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High-Speed High-frequency Op-amp
1. 50 MHz unity gain bandwidth
2. 350 V/s slew rate
3. Settling time 45 ns
4. Works with +5 V or 5 to 15 V
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Tuned Amplifiers
15
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Single Tuned Amplifiers
2
2
eq
2
eqeq
mv
eq
2
m
eq
eq
m
s
o
i
o
-LC
1
CRCeq
g|)(jA|
bygivenisgaintheofmagnitudeThe
filterpass-bandorder-secondaforexpressiontheisThis
L
1
R
s
g-
CssL
1
R
1
g-
v
v
v
v
eqeq
eq
v
CCsC
sA
16
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eqmv
eqmv
eq
0
0
Rg-A
Rg|)(jA|isgaintheofmagnitudetheandLC
1
,frequencycentreat themaximumisgaintheofmaginitudeThe
or
eqeq0
0
0
eqeq
LH
2
eq
2
eq
2
0
eqeq
L
2
eq
2
eq
2
0
eqeq
H
CRQ
isamplifiertunedtheoffactorqualityThe
CR
1-BWbandwidthThe
C4R
1
C2R
1-
C4R
1
C2R
1
bygivenaresfrequencieoff-cutThe
BW
and
LH
17
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0
0
0v
v
jQ1
1
)(A
)(jA
bygivenisgainnormalisedThe
j
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Inductor Losses
19
s
00
0
r
LQ
asdefinedisinductortheofQfrequency,resonantAt
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Tapped Coils
12
1
2
1
1
2 Nn
n
V
V
I
I
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Multiple Tuned Amplifiers
Synchronous-tuned amplifiers
21
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Synchronous-tuned amplifiers
To find fL and fH, the square of the magnitude of the transfer
function of a single tuned circuit is set to one-halfN
oo
Q
2
21
1
2
1
12
4Q1112
2 1
21
N
No
H Q
12
4Q
11122 1
21
N
No
L Q
122
1
NoNQ
BW
121
N is called bandwidth
shrinkage factor 22
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Synchronous-tuned amplifiers
N SN N SN
2 0.64 6 0.353 0.51 7 0.32
4 0.43 8 0.30
5 0.39 9 0.28
Bandwidth Shrinkage factor
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24
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sss
s
m
mo
RVI
sLIv
vgv
sLvgv
'/'
||sC
1||R
)rvg-(
||sC
1||R
1
1
11
22m2112
2
2
222
2
2
22
222
'
212m10
2211
2
0
2211
N
11
g-Avisatgainvoltage
11
1
CR
1BW56.1
rg
rgwhere
R
RRThe
CLCL
CR
m
m
S
25
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Staggered-tuned Amplifier
26
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4
BW
2
11
4
BW
21
1
2
0
2
0
22
2
0
2
011
BW
CL
BW
CL
'
212m1
2
21
'
2m1v0
2
g
gAisatgainvoltageThe
S
S
R
RR
BWCCR
27