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Importance of the LNA
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Importance of the LNA
21
1 ( 1)
111 1 .....
1 .....m
totp p m
NFNFNF NF
Ap A A
Friis’ Formula
![Page 4: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/4.jpg)
Importance of the LNA
21
1 ( 1)
111 1 .....
1 .....m
totp p m
NFNFNF NF
Ap A A
Friis’ Formula
Digital Electronics CMOS LNA
X
Low Cost
High Integration
Integration With Digital IC
Larger Parasitic Capisitance
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Importance of the LNA
21
1 ( 1)
111 1 .....
1 .....m
totp p m
NFNFNF NF
Ap A A
Friis’ Formula
Digital Electronics CMOS LNA
X
Low Cost
High Integration
Integration With Digital IC
Larger Parasitic Capisitance
RF Hexagon
![Page 6: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/6.jpg)
Why Inductive Degenerated LNA?
2-Port Noise Theory
22
2s n s n
s
i i Y eF
i
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Why Inductive Degenerated LNA?
2-Port Noise Theory
22
2s n s n
s
i i Y eF
i
2
2
2
s u c s n
s
i i Y Y eF
i
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Why Inductive Degenerated LNA?
2-Port Noise Theory
22
2s n s n
s
i i Y eF
i
2
2
2
s u c s n
s
i i Y Y eF
i
CMOS small signal equivalent
![Page 9: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/9.jpg)
Why Inductive Degenerated LNA?
2-Port Noise Theory
22
2s n s n
s
i i Y eF
i
2
2
2
s u c s n
s
i i Y Y eF
i
CMOS small signal equivalent
Thermal Noise Contribution
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Why Inductive Degenerated LNA?
2-Port Noise Theory
22
2s n s n
s
i i Y eF
i
2
2
2
s u c s n
s
i i Y Y eF
i
CMOS small signal equivalent
Thermal Noise Contribution
*
2 2
ng nd
ng nd
i ic
i i min 1 1
5c gsF Y j C a c
![Page 11: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/11.jpg)
Why Inductive Degenerated LNA?
2-Port Noise Theory
22
2s n s n
s
i i Y eF
i
2
2
2
s u c s n
s
i i Y Y eF
i
CMOS small signal equivalent
Thermal Noise Contribution
*
2 2
ng nd
ng nd
i ic
i i min 1 1
5c gsF Y j C a c
X Power Matching
![Page 12: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/12.jpg)
Inductive Degenerated LNA
Bond Wire Inductance
Inductive Source Degeneration
Input Power Matching
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Inductive Degenerated LNA
Bond Wire Inductance
Inductive Source Degeneration Small Signal Equivalent
Input Power Matching
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Inductive Degenerated LNA
Bond Wire Inductance
Inductive Source Degeneration Small Signal Equivalent
1( ) m s
in g sgs gs
g LZ j L j L
j C C
0Re( ( )) sZin R
0Im( ( )) 0Zin Power
Matching
Input Power Matching
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Inductive Degenerated LNA
Bond Wire Inductance
Inductive Source Degeneration Small Signal Equivalent
1( ) m s
in g sgs gs
g LZ j L j L
j C C
0Re( ( )) sZin R
0Im( ( )) 0Zin Power
Matching
m gs s sg C R L
g s s sL Q R L
Input Power Matching
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Inductive Degenerated LNA
Bond Wire Inductance
Inductive Source Degeneration Small Signal Equivalent
1( ) m s
in g sgs gs
g LZ j L j L
j C C
0Re( ( )) sZin R
0Im( ( )) 0Zin Power
Matching
m gs s sg C R L
g s s sL Q R L 1s o gs sQ C R
2 3gs oxC WLC
Input Power Matching
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Definitions
Basic Equation of MOS Drain
||2
n oxD gs t gs t sat
C WI V V V V LE
L
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Definitions
Basic Equation of MOS Drain
||2
n oxD gs t gs t sat
C WI V V V V LE
L
2n
sat satv E
od gs tV V V od
sat
V
LE
2
1D ox sat sat
pI WLC v E
p
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Definitions
Basic Equation of MOS Drain
||2
n oxD gs t gs t sat
C WI V V V V LE
L
2n
sat satv E
od gs tV V V od
sat
V
LE
2
1D ox sat sat
pI WLC v E
p
21 / 2
1D
m ox n odgs
I Wg C V
V L
2
1D DD D DD ox sat sat
pP V I V WLC v E
p
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Definitions
Basic Equation of MOS Drain
||2
n oxD gs t gs t sat
C WI V V V V LE
L
2n
sat satv E
od gs tV V V od
sat
V
LE
2
1D ox sat sat
pI WLC v E
p
21 / 2
1D
m ox n odgs
I Wg C V
V L
( ) 1 ( )s st
F Q Q
2 2 21
( ) (1 ) 25 5 5s s s
s
Q Q c QQ
2
1D DD D DD ox sat sat
pP V I V WLC v E
p
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Definitions
Basic Equation of MOS Drain
||2
n oxD gs t gs t sat
C WI V V V V LE
L
2n
sat satv E
od gs tV V V od
sat
V
LE
2
1D ox sat sat
pI WLC v E
p
21 / 2
1D
m ox n odgs
I Wg C V
V L
( ) 1 ( )s st
F Q Q
2 2 21
( ) (1 ) 25 5 5s s s
s
Q Q c QQ
2
1D DD D DD ox sat sat
pP V I V WLC v E
p
0.395c j1a Long Channel
1a 2 Short Channel
2 / 3 4
4 / 3 150odV mV
![Page 22: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/22.jpg)
Inductive Specified Technique
1st step: Setting the value of Ls
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Inductive Specified Technique
1st step: Setting the value of Ls
2nd step: Finding the value of ωt.Ls
. /t Ls m gs s sg C R L From Impendance Matching:
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Inductive Specified Technique
3rd step: Finding the optimum Qs
1st step: Setting the value of Ls
2nd step: Finding the value of ωt.Ls
. /t Ls m gs s sg C R L From Impendance Matching:
. .( ) 0
s s opt Lss s Q Q
Q Q
. . 2
51s opt LsQ
min, . .( ) 1 1.64Ls s opt Lst
F F Q
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Inductive Specified Technique
3rd step: Finding the optimum Qs
1st step: Setting the value of Ls
2nd step: Finding the value of ωt.Ls
4th step: Finding the value of Lg
. /t Ls m gs s sg C R L From Impendance Matching:
. .( ) 0
s s opt Lss s Q Q
Q Q
. . 2
51s opt LsQ
min, . .( ) 1 1.64Ls s opt Lst
F F Q
. . .g Ls s opt Ls s sL Q R L From Impendance Matching:
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Inductive Specified Technique
3rd step: Finding the optimum Qs
1st step: Setting the value of Ls
2nd step: Finding the value of ωt.Ls
4th step: Finding the value of Lg
5th step: Finding the optimum Cgs
. /t Ls m gs s sg C R L From Impendance Matching:
. .( ) 0
s s opt Lss s Q Q
Q Q
. . 2
51s opt LsQ
min, . .( ) 1 1.64Ls s opt Lst
F F Q
. . .g Ls s opt Ls s sL Q R L From Impendance Matching:
From Impendance Matching:
1s o gs sQ C R . . . ,1gs opt Ls o s opt Ls sC Q R
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Inductive Specified Technique
6th step: Finding the optimum device’s width Wopt,Ls
2 3gs oxC WLC , . .3 / 2opt Ls o ox s s opt LsW LC R Q
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Inductive Specified Technique
6th step: Finding the optimum device’s width Wopt,Ls
2 3gs oxC WLC , . .3 / 2opt Ls o ox s s opt LsW LC R Q
7th step: Finding the optimum device’s transconductance gm.opt.Ls
From Impendance Matching: . . . . /m opt Ls s gs opt Ls Sg R C L
![Page 29: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/29.jpg)
Inductive Specified Technique
6th step: Finding the optimum device’s width Wopt,Ls
2 3gs oxC WLC , . .3 / 2opt Ls o ox s s opt LsW LC R Q
7th step: Finding the optimum device’s transconductance gm.opt.Ls
From Impendance Matching: . . . . /m opt Ls s gs opt Ls Sg R C L
8th step: Finding the optimum ρ and Vod
21 / 2
1m ox n od
Wg C V
L
.
11
1 2 / 3opt Lst satL v
. . . 150od opt Ls opt Ls satV LE mV !
![Page 30: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/30.jpg)
Inductive Specified Technique
6th step: Finding the optimum device’s width Wopt,Ls
2 3gs oxC WLC , . .3 / 2opt Ls o ox s s opt LsW LC R Q
7th step: Finding the optimum device’s transconductance gm.opt.Ls
From Impendance Matching: . . . . /m opt Ls s gs opt Ls Sg R C L
8th step: Finding the optimum ρ and Vod
21 / 2
1m ox n od
Wg C V
L
.
11
1 2 / 3opt Lst satL v
. . . 150od opt Ls opt Ls satV LE mV !
9th step: Finding the current consumption ID.Ls
2. 1D Ls opt ox sat sat opt optI W LC v E
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Current Specified Technique
1st step: Setting the current consumption ID
![Page 32: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/32.jpg)
Current Specified Technique
1st step: Setting the current consumption ID
2nd step: Finding the optimum ρ and Vod
2
( )1
os
D
IQ
I
2
1 0.5( ) 3
(1 )sat
t
v
L
( )
( ) 1( )t
F
.
( ) ( ) 0opt I
t
. 2
5 31 1 1
5d
opt Io
Ic
I c
. . .od opt I opt I satV LE
![Page 33: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/33.jpg)
Current Specified Technique
1st step: Setting the current consumption ID
2nd step: Finding the optimum ρ and Vod
2
( )1
os
D
IQ
I
2
1 0.5( ) 3
(1 )sat
t
v
L
( )
( ) 1( )t
F
.
( ) ( ) 0opt I
t
. 2
5 31 1 1
5d
opt Io
Ic
I c
. . .od opt I opt I satV LE
3nd step: Finding the optimum Qs
. . 2
5 31 1 1
5s opt IQ cc
From 2nd Step:
![Page 34: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/34.jpg)
Current Specified Technique
1st step: Setting the current consumption ID
2nd step: Finding the optimum ρ and Vod
2
( )1
os
D
IQ
I
2
1 0.5( ) 3
(1 )sat
t
v
L
( )
( ) 1( )t
F
.
( ) ( ) 0opt I
t
. 2
5 31 1 1
5d
opt Io
Ic
I c
. . .od opt I opt I satV LE
3nd step: Finding the optimum Qs
4th step: Finding the optimum device width Wopt,I
. . 2
5 31 1 1
5s opt IQ cc
From 2nd Step:
From 3rd Step & Impendance Matching: .
. .
3 1
2opt Io ox s s opt I
WLC R Q
![Page 35: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/35.jpg)
Current Specified Technique
1st step: Setting the current consumption ID
2nd step: Finding the optimum ρ and Vod
2
( )1
os
D
IQ
I
2
1 0.5( ) 3
(1 )sat
t
v
L
( )
( ) 1( )t
F
.
( ) ( ) 0opt I
t
. 2
5 31 1 1
5d
opt Io
Ic
I c
. . .od opt I opt I satV LE
3nd step: Finding the optimum Qs
4th step: Finding the optimum device width Wopt,I
5nd step: Finding the value of ωt.I
. . 2
5 31 1 1
5s opt IQ cc
From 2nd Step:
From 3rd Step & Impendance Matching: .
. .
3 1
2opt Io ox s s opt I
WLC R Q
From 2nd Step:
.. . 2
.
1 0.53
(1 )opt I sat
t I opt Iopt I
v
L
![Page 36: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/36.jpg)
Current Specified Technique
6th step: Finding the optimum device transconductance gm.opt.I
From 2nd , 3rd Step & Impendance Matching:
2. . . . . .2 1 / 2 1m opt I opt I ox sat opt I opt I opt Ig W C v
min, ..
( ) 1 1.81I opt It I
F F
![Page 37: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/37.jpg)
Current Specified Technique
6th step: Finding the optimum device transconductance gm.opt.I
From 2nd , 3rd Step & Impendance Matching:
2. . . . . .2 1 / 2 1m opt I opt I ox sat opt I opt I opt Ig W C v
min, ..
( ) 1 1.81I opt It I
F F
7th step: Finding the optimum Cgs
From 5th , 6th Step : , , , , , ,gs opt I m opt I t opt IC g
![Page 38: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/38.jpg)
Current Specified Technique
6th step: Finding the optimum device transconductance gm.opt.I
From 2nd , 3rd Step & Impendance Matching:
2. . . . . .2 1 / 2 1m opt I opt I ox sat opt I opt I opt Ig W C v
min, ..
( ) 1 1.81I opt It I
F F
7th step: Finding the optimum Cgs
From 5th , 6th Step : , , , , , ,gs opt I m opt I t opt IC g
From 6th , 7th Step & Impendance Matching:
8th step: Finding the optimum Ls
. . . . . .s opt I s gs opt I m opt IL R C g
![Page 39: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/39.jpg)
Current Specified Technique
6th step: Finding the optimum device transconductance gm.opt.I
From 2nd , 3rd Step & Impendance Matching:
2. . . . . .2 1 / 2 1m opt I opt I ox sat opt I opt I opt Ig W C v
min, ..
( ) 1 1.81I opt It I
F F
7th step: Finding the optimum Cgs
From 5th , 6th Step : , , , , , ,gs opt I m opt I t opt IC g
From 6th , 7th Step & Impendance Matching:
8th step: Finding the optimum Ls
. . . . . .s opt I s gs opt I m opt IL R C g
9th step: Finding the optimum Lg
From 6th , 7th Step & Impendance Matching:
, , , ,1g I gs opt I s IL C L
![Page 40: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/40.jpg)
Comparison Results
• Inductive Specified Technique
min, 1 1.64Ls ss
F LR
![Page 41: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/41.jpg)
Comparison Results
• Inductive Specified Technique
min, 1 1.64Ls ss
F LR
0.5 3sL nH
![Page 42: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/42.jpg)
Comparison Results
• Inductive Specified Technique
min, 1 1.64Ls ss
F LR
0.5 3sL nH
Parameters:
50sR
0.18um process
29.8 /oxC mF m
1.2 / secnv m
55.510 /satE V m
0.5L um
![Page 43: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/43.jpg)
Comparison Results
@ 1.6 GHz Vod=120mVID= 1.7mA
• Inductive Specified Technique
![Page 44: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/44.jpg)
Comparison Results
• Inductive Specified Technique
@ 2.5 GHz Vod=120mVID= 1.1mA
![Page 45: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/45.jpg)
Comparison Results
• Inductive Specified Technique
@ 5.5 GHz Vod=120mVID= 0.5mA
![Page 46: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/46.jpg)
Comparison Results
• Inductive Specified Technique
Vod ≤ 150 mV
![Page 47: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/47.jpg)
Comparison Results
• Inductive Specified Technique
@ 1.6 GHz Vod=138mVID= 2.4mA
![Page 48: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/48.jpg)
Comparison Results
• Inductive Specified Technique
@ 2.5 GHz Vod=138mVID= 1.5mA
![Page 49: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/49.jpg)
Comparison Results
• Inductive Specified Technique
@ 5.5 GHz Vod=138mVID= 0.7mA
![Page 50: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/50.jpg)
Comparison Results
• Inductive Specified Technique
Vod ≤ 150 mV
![Page 51: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/51.jpg)
Comparison Results
• Inductive Specified Technique
@ 1.6 GHz Vod=162mVID= 3.2mA
![Page 52: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/52.jpg)
Comparison Results
• Inductive Specified Technique
@ 2.5 GHz Vod=162mVID= 2.1mA
![Page 53: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/53.jpg)
Comparison Results
• Inductive Specified Technique
@ 5.5 GHz Vod=162mVID= 0.7mA
![Page 54: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/54.jpg)
Comparison Results
• Inductive Specified Technique
Vod ≥ 150 mV
![Page 55: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/55.jpg)
Comparison Results
• Inductive Specified Technique
Vod ≥ 150 mV
![Page 56: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/56.jpg)
Comparison Results
• Inductive Specified Technique
Vod ≥ 150 mV
![Page 57: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/57.jpg)
Comparison Results
• Inductive Specified Technique
Vod ≥ 150 mV
![Page 58: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/58.jpg)
Comparison Results
• Inductive Specified Technique
Vod ≥ 150 mV
![Page 59: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/59.jpg)
Comparison Results
• Inductive Specified Technique
Vod ≥ 150 mV
![Page 60: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/60.jpg)
Comparison Results
• Inductive Specified Technique
Ls = 1.2nH NFmin= 6.1dBID= 0.9mA
![Page 61: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/61.jpg)
Comparison Results
• Inductive Specified Technique
Ls = 1nH NFmin= 5.6dBID= 1.4mA
![Page 62: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/62.jpg)
Comparison Results
• Inductive Specified Technique
Ls = 0.8nH NFmin= 5dBID= 2.2mA
![Page 63: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/63.jpg)
Comparison Results
• Inductive Specified Technique
Ls = 0.6nH NFmin= 4dBID= 4mA
![Page 64: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/64.jpg)
Comparison Results
• Inductive Specified Technique
NFminID
![Page 65: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/65.jpg)
Comparison Results
• Inductive Specified Technique
NFminID
![Page 66: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/66.jpg)
Comparison Results
• Inductive Specified Technique
NFminID
![Page 67: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/67.jpg)
Comparison Results
• Inductive Specified Technique
NFminID IDL LS
![Page 68: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/68.jpg)
Comparison Results
• Current Specified Technique
2.
min,. .
(1 )1 1.81
3 (1 0.5 )opt I
Iopt I opt I sat
F Lv
![Page 69: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/69.jpg)
Comparison Results
• Current Specified Technique
0.25 16DI mA 2
.min,
. .
(1 )1 1.81
3 (1 0.5 )opt I
Iopt I opt I sat
F Lv
0.5 3sL nH
![Page 70: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/70.jpg)
Comparison Results
• Current Specified Technique
0.25 16DI mA
Parameters:
50sR
0.18um process
29.8 /oxC mF m
1.2 / secnv m
55.510 /satE V m
0.5L um
2.
min,. .
(1 )1 1.81
3 (1 0.5 )opt I
Iopt I opt I sat
F Lv
0.5 3sL nH
![Page 71: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/71.jpg)
Comparison Results
• Current Specified Technique
@ 1.6 GHz Vod=60mVLS=3.1nH
![Page 72: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/72.jpg)
Comparison Results
• Current Specified Technique
@ 2.5 GHz Vod=76mVLS=2.5nH
![Page 73: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/73.jpg)
Comparison Results
• Current Specified Technique
@ 5.5 GHz Vod=112mVLS=1.7nH
![Page 74: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/74.jpg)
Comparison Results
• Current Specified Technique
@ 1.6 GHz Vod=85mVLS=2.2nH
![Page 75: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/75.jpg)
Comparison Results
• Current Specified Technique
@ 2.5 GHz Vod=107mVLS=1.7nH
![Page 76: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/76.jpg)
Comparison Results
• Current Specified Technique
@ 5.5 GHz Vod=158mVLS=1.2nH
![Page 77: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/77.jpg)
Comparison Results
• Current Specified Technique
![Page 78: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/78.jpg)
Comparison Results
• Current Specified Technique
Vod,opt ≥ 150mV 3nH ≥ LS ≥ 0.5nH
![Page 79: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/79.jpg)
Comparison Results
• Current Specified Technique
NFminID
![Page 80: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/80.jpg)
Comparison Results
• Current Specified Technique
NFminID
![Page 81: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/81.jpg)
Comparison Results
• Current Specified Technique
NFminID IDL LS
![Page 82: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/82.jpg)
Conclusion
• Inductive Specified Technique
Q
s
Ls
ω
t.Ls
Lg Cgs Wopt,Ls gm.opt.Ls ρ ID.Ls
![Page 83: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/83.jpg)
Conclusion
• Inductive Specified Technique
• Current Specified Technique
Q
s
Ls
ω
t.Ls
Lg Cgs Wopt,Ls gm.opt.Ls ρ ID.Ls
Q
s
ID p Lg Cgs Wopt,I gm.opt.I LS,opt,I
ω
t.I
![Page 84: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/84.jpg)
Conclusion
• Inductive Specified Technique
• Current Specified Technique
Q
s
Ls
ω
t.Ls
Lg Cgs Wopt,Ls gm.opt.Ls ρ ID.Ls
Q
s
ID p Lg Cgs Wopt,I gm.opt.I LS,opt,I
ω
t.I
Same Results for Same Numbers from the two techniques
![Page 85: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/85.jpg)
Conclusion
• Inductive Specified Technique
• Current Specified Technique
Q
s
Ls
ω
t.Ls
Lg Cgs Wopt,Ls gm.opt.Ls ρ ID.Ls
Q
s
ID p Lg Cgs Wopt,I gm.opt.I LS,opt,I
ω
t.I
Same Results for Same Numbers from the two techniques
Noise minimization for different values than those for Power Matching X
![Page 86: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/86.jpg)
Conclusion
• Inductive Specified Technique
• Current Specified Technique
Q
s
Ls
ω
t.Ls
Lg Cgs Wopt,Ls gm.opt.Ls ρ ID.Ls
Q
s
ID p Lg Cgs Wopt,I gm.opt.I LS,opt,I
ω
t.I
Same Results for Same Numbers from the two techniques
Future Work:
Work for Linearity Include all the theory in a toolkit for giving Guidelines
Noise minimization for different values than those for Power Matching X
![Page 87: Importance of the LNA Friis Formula Importance of the LNA Friis Formula Digital Electronics CMOS LNA X Low Cost High Integration Integration With Digital](https://reader036.vdocuments.mx/reader036/viewer/2022062404/5517e28b550346c1568b459e/html5/thumbnails/87.jpg)
References
[1] Hashemi, H. and Hajimiri A., “Concurrent multiband low-noise amplifiers-theory, design and applications,” IEEE Trans. Mircrowave theory and techniques,52(1), pp.288–301, 2002.[2] Lee, T.H. The design of CMOS Radio Frequency Integrated Circuits., Cambridge Univ. Press, Cambridge, 1998.[3] Voinigescu, S. P., Maliepaard, M.C., Showell, J.L., Babcock, G.E., Marchesan, D., Schroter, M., Schvan, P. and Harame, D.L. “A scalable high-frequency noise model for bipolar transistors with application optimal transistor sizing for low-noise amplifier design,” IEEE J. Solid-State Circuits,32(9), pp.1430–1439, 1997.[4] Shaeffer, D. K. and Lee, T.H., “A 1.5 V, 1.5 GHz CMOS low noise amplifier,” IEEE J. Solid-State Circuits,32(5),745–758,1997.[5] Andreani P. Sjöland H., “Noise optimization of an inductively degenerated CMOS low noise amplifier,” IEEE Trans. Circuits Syst., 48, pp.835–841, Sept. 2001.
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Thank you for you attention !