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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Nanoscale RF CMOS Transceiver Design
Angelos Antonopoulos
Department of Electronics & Computer EngineeringTechnical University of Crete
February 23, 2014
1 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Optimum Bias Point for RFIC design w. Technology Scaling?
Optimum Region for RFIC Design?
Aggressive CMOS technology scaling down to 28 nm.
RFICs under low voltage/power operation.
Suitable region for RFIC design ?
High overall performance w. min. power consumption.
2 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Optimum Bias Point for RFIC design w. Technology Scaling?
Optimum Region for RFIC Design?
Aggressive CMOS technology scaling down to 28 nm.
RFICs under low voltage/power operation.
Suitable region for RFIC design ?
High overall performance w. min. power consumption.
2 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Optimum Bias Point for RFIC design w. Technology Scaling?
Optimum Region for RFIC Design?
Aggressive CMOS technology scaling down to 28 nm.
RFICs under low voltage/power operation.
Suitable region for RFIC design ?
High overall performance w. min. power consumption.
2 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Optimum Bias Point for RFIC design w. Technology Scaling?
Optimum Region for RFIC Design?
Aggressive CMOS technology scaling down to 28 nm.
RFICs under low voltage/power operation.
Suitable region for RFIC design ?
High overall performance w. min. power consumption.
2 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Previous Work - Motivation
Open Issues
Taris et al., NanoTera 2011
OR ?
FoM = f (Gain,Noise,power , f ) ∝ (Gm/ID) · fT
C.-H. Chen, “Thermal noise in modernCMOS technologies,” in Solid StateCircuits Technologies, InTech, 2010.
Transistors might work in themoderate or weak inversionregion.
Channel noise models fortransistors working in these regions
Scaling issues of the active noisesources research area for futurestudies.
3 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Previous Work - Motivation
Open Issues
Taris et al., NanoTera 2011
OR ?
FoM = f (Gain,Noise,power , f ) ∝ (Gm/ID) · fT
C.-H. Chen, “Thermal noise in modernCMOS technologies,” in Solid StateCircuits Technologies, InTech, 2010.
Transistors might work in themoderate or weak inversionregion.
Channel noise models fortransistors working in these regions
Scaling issues of the active noisesources research area for futurestudies.
3 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Previous Work - Motivation
Open Issues
Taris et al., NanoTera 2011
OR ?
FoM = f (Gain,Noise,power , f ) ∝ (Gm/ID) · fT
C.-H. Chen, “Thermal noise in modernCMOS technologies,” in Solid StateCircuits Technologies, InTech, 2010.
Transistors might work in themoderate or weak inversionregion.
Channel noise models fortransistors working in these regions
Scaling issues of the active noisesources research area for futurestudies.
3 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Previous Work - Motivation
Open Issues
Figures of Merit representing RFIC behavior.
Simple and easy to evaluate.
Thermal noise in terms of RFIC design
Validation through RFIC design
IC = ID/Ispec
Ispec = 2nU2T µCox
WL
4 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Previous Work - Motivation
Open Issues
Figures of Merit representing RFIC behavior.
Simple and easy to evaluate.
Thermal noise in terms of RFIC design
Validation through RFIC design
IC = ID/Ispec
Ispec = 2nU2T µCox
WL
4 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Previous Work - Motivation
Open Issues
Figures of Merit representing RFIC behavior.
Simple and easy to evaluate.
Thermal noise in terms of RFIC design
Validation through RFIC design
IC = ID/Ispec
Ispec = 2nU2T µCox
WL
4 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Previous Work - Motivation
Open Issues
Figures of Merit representing RFIC behavior.
Simple and easy to evaluate.
Thermal noise in terms of RFIC design
Validation through RFIC design
IC = ID/Ispec
Ispec = 2nU2T µCox
WL
4 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
This Work
Outline
System to Block
Receiver blocks
Circuit Level
LNA Topologies
Device Level
Tapeout of an RF Test Chip in 90nm CMOS
Measurements and De-embedding
Small-signal analysis
Figures of Merit (FoM) for LNA Design
Thermal Noise
RF noise trendsNoise parameters essential for LNA design
Verification with EKV3 model
Circuit Level
30 GHz LNA
5 GHz LNA based on FoM
Conclusions
5 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
This Work
Outline
System to Block
Receiver blocks
Circuit Level
LNA Topologies
Device Level
Tapeout of an RF Test Chip in 90nm CMOS
Measurements and De-embedding
Small-signal analysis
Figures of Merit (FoM) for LNA Design
Thermal Noise
RF noise trendsNoise parameters essential for LNA design
Verification with EKV3 model
Circuit Level
30 GHz LNA
5 GHz LNA based on FoM
Conclusions
5 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
This Work
Outline
System to Block
Receiver blocks
Circuit Level
LNA Topologies
Device Level
Tapeout of an RF Test Chip in 90nm CMOS
Measurements and De-embedding
Small-signal analysis
Figures of Merit (FoM) for LNA Design
Thermal Noise
RF noise trendsNoise parameters essential for LNA design
Verification with EKV3 model
Circuit Level
30 GHz LNA
5 GHz LNA based on FoM
Conclusions
5 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
This Work
Outline
System to Block
Receiver blocks
Circuit Level
LNA Topologies
Device Level
Tapeout of an RF Test Chip in 90nm CMOS
Measurements and De-embedding
Small-signal analysis
Figures of Merit (FoM) for LNA Design
Thermal Noise
RF noise trendsNoise parameters essential for LNA design
Verification with EKV3 model
Circuit Level
30 GHz LNA
5 GHz LNA based on FoM
Conclusions
5 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
This Work
Outline
System to Block
Receiver blocks
Circuit Level
LNA Topologies
Device Level
Tapeout of an RF Test Chip in 90nm CMOS
Measurements and De-embedding
Small-signal analysis
Figures of Merit (FoM) for LNA Design
Thermal Noise
RF noise trendsNoise parameters essential for LNA design
Verification with EKV3 model
Circuit Level
30 GHz LNA
5 GHz LNA based on FoM
Conclusions
5 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
This Work
Outline
System to Block
Receiver blocks
Circuit Level
LNA Topologies
Device Level
Tapeout of an RF Test Chip in 90nm CMOS
Measurements and De-embedding
Small-signal analysis
Figures of Merit (FoM) for LNA Design
Thermal Noise
RF noise trendsNoise parameters essential for LNA design
Verification with EKV3 model
Circuit Level
30 GHz LNA
5 GHz LNA based on FoM
Conclusions
5 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Receiver Architectures
Transceiver and Building Blocks
Receiver architectures
Heterodyne (IF, problem of image)Direct conversion (zero IF)
Noise of cascaded stages
NF = 1 + (NF1−1) +NF2−1AP1
+ NFm−1AP1 ...AP(m−1)
Non-linearity of cascaded stages
1A2IIP3
= 1A2IIP3,1
+α2
1A2IIP3,2
+α2
1 β21
A2IIP3,2A
2IIP3,3
LNA should provide
Minimum noise figureModerately high gain, depending onthe application
6 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Receiver Architectures
Transceiver and Building Blocks
Receiver architectures
Heterodyne (IF, problem of image)Direct conversion (zero IF)
Noise of cascaded stages
NF = 1 + (NF1−1) +NF2−1AP1
+ NFm−1AP1 ...AP(m−1)
Non-linearity of cascaded stages
1A2IIP3
= 1A2IIP3,1
+α2
1A2IIP3,2
+α2
1 β21
A2IIP3,2A
2IIP3,3
LNA should provide
Minimum noise figureModerately high gain, depending onthe application
6 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Receiver Architectures
Transceiver and Building Blocks
Receiver architectures
Heterodyne (IF, problem of image)Direct conversion (zero IF)
Noise of cascaded stages
NF = 1 + (NF1−1) +NF2−1AP1
+ NFm−1AP1 ...AP(m−1)
Non-linearity of cascaded stages
1A2IIP3
= 1A2IIP3,1
+α2
1A2IIP3,2
+α2
1 β21
A2IIP3,2A
2IIP3,3
LNA should provide
Minimum noise figureModerately high gain, depending onthe application
6 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Receiver Architectures
Transceiver and Building Blocks
Receiver architectures
Heterodyne (IF, problem of image)Direct conversion (zero IF)
Noise of cascaded stages
NF = 1 + (NF1−1) +NF2−1AP1
+ NFm−1AP1 ...AP(m−1)
Non-linearity of cascaded stages
1A2IIP3
= 1A2IIP3,1
+α2
1A2IIP3,2
+α2
1 β21
A2IIP3,2A
2IIP3,3
LNA should provide
Minimum noise figureModerately high gain, depending onthe application
6 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Receiver Architectures
Transceiver and Building Blocks
Receiver architectures
Heterodyne (IF, problem of image)Direct conversion (zero IF)
Noise of cascaded stages
NF = 1 + (NF1−1) +NF2−1AP1
+ NFm−1AP1 ...AP(m−1)
Non-linearity of cascaded stages
1A2IIP3
= 1A2IIP3,1
+α2
1A2IIP3,2
+α2
1 β21
A2IIP3,2A
2IIP3,3
LNA should provide
Minimum noise figureModerately high gain, depending onthe application
6 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Matching
Power matching
Maximum power transfer to a load
ZL = Z ∗SInput matching
Input impedance equal to 50 ΩReturn loss: Γ = Zin−RS
Zin+RSIdeally Γ = 0
Noise matching
YS = Yopt
Stability and Reverse Isolation
Feedback paths from the output to theinput may lead to instability
Stern stability factor
K = 1+|∆|2−|S11|2−|S22|22|S21||S12|
When K>1 andΔ<1 the circuit isunconditionally stable
Reverse isolation (-S12)
Improves stabilityReduces spurious LO tone at theantenna
7 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Matching
Power matching
Maximum power transfer to a load
ZL = Z ∗SInput matching
Input impedance equal to 50 ΩReturn loss: Γ = Zin−RS
Zin+RSIdeally Γ = 0
Noise matching
YS = Yopt
Stability and Reverse Isolation
Feedback paths from the output to theinput may lead to instability
Stern stability factor
K = 1+|∆|2−|S11|2−|S22|22|S21||S12|
When K>1 andΔ<1 the circuit isunconditionally stable
Reverse isolation (-S12)
Improves stabilityReduces spurious LO tone at theantenna
7 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Matching
Power matching
Maximum power transfer to a load
ZL = Z ∗SInput matching
Input impedance equal to 50 ΩReturn loss: Γ = Zin−RS
Zin+RSIdeally Γ = 0
Noise matching
YS = Yopt
Stability and Reverse Isolation
Feedback paths from the output to theinput may lead to instability
Stern stability factor
K = 1+|∆|2−|S11|2−|S22|22|S21||S12|
When K>1 andΔ<1 the circuit isunconditionally stable
Reverse isolation (-S12)
Improves stabilityReduces spurious LO tone at theantenna
7 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Matching
Power matching
Maximum power transfer to a load
ZL = Z ∗SInput matching
Input impedance equal to 50 ΩReturn loss: Γ = Zin−RS
Zin+RSIdeally Γ = 0
Noise matching
YS = Yopt
Stability and Reverse Isolation
Feedback paths from the output to theinput may lead to instability
Stern stability factor
K = 1+|∆|2−|S11|2−|S22|22|S21||S12|
When K>1 andΔ<1 the circuit isunconditionally stable
Reverse isolation (-S12)
Improves stabilityReduces spurious LO tone at theantenna
7 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Matching
Power matching
Maximum power transfer to a load
ZL = Z ∗SInput matching
Input impedance equal to 50 ΩReturn loss: Γ = Zin−RS
Zin+RSIdeally Γ = 0
Noise matching
YS = Yopt
Stability and Reverse Isolation
Feedback paths from the output to theinput may lead to instability
Stern stability factor
K = 1+|∆|2−|S11|2−|S22|22|S21||S12|
When K>1 andΔ<1 the circuit isunconditionally stable
Reverse isolation (-S12)
Improves stabilityReduces spurious LO tone at theantenna
7 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Matching
Power matching
Maximum power transfer to a load
ZL = Z ∗SInput matching
Input impedance equal to 50 ΩReturn loss: Γ = Zin−RS
Zin+RSIdeally Γ = 0
Noise matching
YS = Yopt
Stability and Reverse Isolation
Feedback paths from the output to theinput may lead to instability
Stern stability factor
K = 1+|∆|2−|S11|2−|S22|22|S21||S12|
When K>1 andΔ<1 the circuit isunconditionally stable
Reverse isolation (-S12)
Improves stabilityReduces spurious LO tone at theantenna
7 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Matching
Power matching
Maximum power transfer to a load
ZL = Z ∗SInput matching
Input impedance equal to 50 ΩReturn loss: Γ = Zin−RS
Zin+RSIdeally Γ = 0
Noise matching
YS = Yopt
Stability and Reverse Isolation
Feedback paths from the output to theinput may lead to instability
Stern stability factor
K = 1+|∆|2−|S11|2−|S22|22|S21||S12|
When K>1 andΔ<1 the circuit isunconditionally stable
Reverse isolation (-S12)
Improves stabilityReduces spurious LO tone at theantenna
7 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Power Gain
Voltage gain, AV should beoptimized
When Zin = Zout , AV = AP
Several types of power gain
Noise
Noise factor
F = SNRin/SNRoutIdeally F = 1NF = 10logF
Should be kept minimum
Power Dissipation
LNA consumes a small fraction of the overall RX power
However power dissipation should be minimized
Pcons has to be considered along w. the other FoM
8 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Power Gain
Voltage gain, AV should beoptimized
When Zin = Zout , AV = AP
Several types of power gain
Noise
Noise factor
F = SNRin/SNRoutIdeally F = 1NF = 10logF
Should be kept minimum
Power Dissipation
LNA consumes a small fraction of the overall RX power
However power dissipation should be minimized
Pcons has to be considered along w. the other FoM
8 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Power Gain
Voltage gain, AV should beoptimized
When Zin = Zout , AV = AP
Several types of power gain
Noise
Noise factor
F = SNRin/SNRoutIdeally F = 1NF = 10logF
Should be kept minimum
Power Dissipation
LNA consumes a small fraction of the overall RX power
However power dissipation should be minimized
Pcons has to be considered along w. the other FoM
8 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Power Gain
Voltage gain, AV should beoptimized
When Zin = Zout , AV = AP
Several types of power gain
Noise
Noise factor
F = SNRin/SNRoutIdeally F = 1NF = 10logF
Should be kept minimum
Power Dissipation
LNA consumes a small fraction of the overall RX power
However power dissipation should be minimized
Pcons has to be considered along w. the other FoM
8 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Power Gain
Voltage gain, AV should beoptimized
When Zin = Zout , AV = AP
Several types of power gain
Noise
Noise factor
F = SNRin/SNRoutIdeally F = 1NF = 10logF
Should be kept minimum
Power Dissipation
LNA consumes a small fraction of the overall RX power
However power dissipation should be minimized
Pcons has to be considered along w. the other FoM
8 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Power Gain
Voltage gain, AV should beoptimized
When Zin = Zout , AV = AP
Several types of power gain
Noise
Noise factor
F = SNRin/SNRoutIdeally F = 1NF = 10logF
Should be kept minimum
Power Dissipation
LNA consumes a small fraction of the overall RX power
However power dissipation should be minimized
Pcons has to be considered along w. the other FoM
8 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Power Gain
Voltage gain, AV should beoptimized
When Zin = Zout , AV = AP
Several types of power gain
Noise
Noise factor
F = SNRin/SNRoutIdeally F = 1NF = 10logF
Should be kept minimum
Power Dissipation
LNA consumes a small fraction of the overall RX power
However power dissipation should be minimized
Pcons has to be considered along w. the other FoM
8 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
LNA Requirements
LNA Requirements
Power Gain
Voltage gain, AV should beoptimized
When Zin = Zout , AV = AP
Several types of power gain
Noise
Noise factor
F = SNRin/SNRoutIdeally F = 1NF = 10logF
Should be kept minimum
Power Dissipation
LNA consumes a small fraction of the overall RX power
However power dissipation should be minimized
Pcons has to be considered along w. the other FoM
8 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
LNA topologies
Widely used LNA Topologies
Common Gate (CG)
Common Source (CS) (w. resistive feedback)
CS w. thermal noise cancellation
Cascode w. inductive degeneration
Transformer feedback
Certain pros and cons
Circuit topology dictated by the specific application the LNA has to serve
9 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
LNA topologies
Widely used LNA Topologies
Common Gate (CG)
Common Source (CS) (w. resistive feedback)
CS w. thermal noise cancellation
Cascode w. inductive degeneration
Transformer feedback
Certain pros and cons
Circuit topology dictated by the specific application the LNA has to serve
9 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
LNA topologies
Widely used LNA Topologies
Common Gate (CG)
Common Source (CS) (w. resistive feedback)
CS w. thermal noise cancellation
Cascode w. inductive degeneration
Transformer feedback
Certain pros and cons
Circuit topology dictated by the specific application the LNA has to serve
9 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
LNA topologies
Widely used LNA Topologies
Common Gate (CG)
Common Source (CS) (w. resistive feedback)
CS w. thermal noise cancellation
Cascode w. inductive degeneration
Transformer feedback
Certain pros and cons
Circuit topology dictated by the specific application the LNA has to serve
9 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
LNA topologies
Widely used LNA Topologies
Common Gate (CG)
Common Source (CS) (w. resistive feedback)
CS w. thermal noise cancellation
Cascode w. inductive degeneration
Transformer feedback
Certain pros and cons
Circuit topology dictated by the specific application the LNA has to serve
9 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
LNA topologies
Widely used LNA Topologies
Common Gate (CG)
Common Source (CS) (w. resistive feedback)
CS w. thermal noise cancellation
Cascode w. inductive degeneration
Transformer feedback
Certain pros and cons
Circuit topology dictated by the specific application the LNA has to serve
9 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
LNA topologies
Widely used LNA Topologies
Common Gate (CG)
Common Source (CS) (w. resistive feedback)
CS w. thermal noise cancellation
Cascode w. inductive degeneration
Transformer feedback
Certain pros and cons
Circuit topology dictated by the specific application the LNA has to serve
9 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
LNA topologies
Widely used LNA Topologies
Common Gate (CG)
Common Source (CS) (w. resistive feedback)
CS w. thermal noise cancellation
Cascode w. inductive degeneration
Transformer feedback
Certain pros and cons
Circuit topology dictated by the specific application the LNA has to serve
9 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
Common Gate LNA
CG Stage w. Inductive Load
Input impedance
1/gms
Voltage gain
Av ≡ VoutVin
=R1
2RS
Thermal noise
F = 1 + γ + 4 RSR1
Limitation
Even if 4 RSR1 1 + γ , for γ=1, NF=3 dB
γ=1, very optimistic scenario
10 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
Common Gate LNA
CG Stage w. Inductive Load
Input impedance
1/gms
Voltage gain
Av ≡ VoutVin
=R1
2RS
Thermal noise
F = 1 + γ + 4 RSR1
Limitation
Even if 4 RSR1 1 + γ , for γ=1, NF=3 dB
γ=1, very optimistic scenario
10 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
Common Gate LNA
CG Stage w. Inductive Load
Input impedance
1/gms
Voltage gain
Av ≡ VoutVin
=R1
2RS
Thermal noise
F = 1 + γ + 4 RSR1
Limitation
Even if 4 RSR1 1 + γ , for γ=1, NF=3 dB
γ=1, very optimistic scenario
10 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
Common Gate LNA
CG Stage w. Inductive Load
Input impedance
1/gms
Voltage gain
Av ≡ VoutVin
=R1
2RS
Thermal noise
F = 1 + γ + 4 RSR1
Limitation
Even if 4 RSR1 1 + γ , for γ=1, NF=3 dB
γ=1, very optimistic scenario
10 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
Common Source LNA
CS Stage
CS topology w. resistive load
Capacitive input impedance
Zin =RS
1+ jωωp
, ωp = 1RS (Cgs+MCgd )
Miller factor, M = 1 +gm1RL
Capacitive feedback from output to input through Cgd
Poor reverse isolation
Cascode Stage
Cascode topology w. resistive load
Suffers from low gain
RL <VDD−VDS,sat1−VDS,sat2
IDFor VDS,sat = 0.25V , and VDD = 1.2V , AV = 15dB
Replace RL with an inductor load
11 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
Common Source LNA
CS Stage
CS topology w. resistive load
Capacitive input impedance
Zin =RS
1+ jωωp
, ωp = 1RS (Cgs+MCgd )
Miller factor, M = 1 +gm1RL
Capacitive feedback from output to input through Cgd
Poor reverse isolation
Cascode Stage
Cascode topology w. resistive load
Suffers from low gain
RL <VDD−VDS,sat1−VDS,sat2
IDFor VDS,sat = 0.25V , and VDD = 1.2V , AV = 15dB
Replace RL with an inductor load
11 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
Common Source LNA
CS Stage w. Resistive Feedback
RF senses the output voltage and returns a current to the input
Capacitive component due to Cgs still present
RF contributes to noise
F = 1 + 4 RSRF
+ γ(gm1 +gm2)RSNF exceeds 3 dB
CS Stage w. Noise Cancellation
Based on CS w. resistive feedback
Noise currents at points X and Y have equal sign
Signal voltages at X and Y have opposite signs
Noise cancellation
Vout,n = VY ,n−VX ,nAV⇒Avc =VY ,nVX ,n
= 1 +RFRS
AVFc = VoutVX
=−2 RFRS
12 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
Common Source LNA
CS Stage w. Resistive Feedback
RF senses the output voltage and returns a current to the input
Capacitive component due to Cgs still present
RF contributes to noise
F = 1 + 4 RSRF
+ γ(gm1 +gm2)RSNF exceeds 3 dB
CS Stage w. Noise Cancellation
Based on CS w. resistive feedback
Noise currents at points X and Y have equal sign
Signal voltages at X and Y have opposite signs
Noise cancellation
Vout,n = VY ,n−VX ,nAV⇒Avc =VY ,nVX ,n
= 1 +RFRS
AVFc = VoutVX
=−2 RFRS
12 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
Transformer Feedback LNA
Transformer Feedback LNA
Cgd canceled through an additional path from output to input
Cancellation whennk =
CgsCgd
n =√L22/L11
k = M/√L11L22
L11 used for source degeneration as well
k affects gain, input and output impedance
Complex equations
13 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
Transformer Feedback LNA
Transformer Feedback LNA
Cgd canceled through an additional path from output to input
Cancellation whennk =
CgsCgd
n =√L22/L11
k = M/√L11L22
L11 used for source degeneration as well
k affects gain, input and output impedance
Complex equations
13 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
Cascode LNA w. Inductive Degeneration
Cascode Stage w. Inductive Degeneration
Input impedance
Zin = 1sCgs + s(LS +LG ) + ωT LS
LS is chosen so that Real(Zin) = 50ΩLG is chosen so that Imag(Zin) = 0Zin purely reactive at ω0
Voltage gain
AV ≡VoutVin
=ωT2ω0· RLRS
Improves w. technology scaling
Noise factor
F = 1 +gmγRS (ω0ωT
)2
Power constrained noise optimization
Wopt,P ' 13ωLCox RS
Power constrained simultaneous noise impedance matching (SNIM)
Extra capacitance in parallel w. Cgs
14 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Existing topologies
Cascode LNA w. Inductive Degeneration
Cascode Stage w. Inductive Degeneration
Input impedance
Zin = 1sCgs + s(LS +LG ) + ωT LS
LS is chosen so that Real(Zin) = 50ΩLG is chosen so that Imag(Zin) = 0Zin purely reactive at ω0
Voltage gain
AV ≡VoutVin
=ωT2ω0· RLRS
Improves w. technology scaling
Noise factor
F = 1 +gmγRS (ω0ωT
)2
Power constrained noise optimization
Wopt,P ' 13ωLCox RS
Power constrained simultaneous noise impedance matching (SNIM)
Extra capacitance in parallel w. Cgs
14 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Implementation
Tapeout of an RF Test Chip
90 nm CMOS from TSMC
Chip area 3.5mm2
RF structures
10 n-MOS, 10 p-MOSMultifingerL = 240nm − 100nm
Two port network
15 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Implementation
Tapeout of an RF Test Chip
90 nm CMOS from TSMC
Chip area 3.5mm2
RF structures
10 n-MOS, 10 p-MOSMultifingerL = 240nm − 100nm
Two port network
15 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Implementation
Tapeout of an RF Test Chip
90 nm CMOS from TSMC
Chip area 3.5mm2
RF structures
10 n-MOS, 10 p-MOSMultifingerL = 240nm − 100nm
Two port network
15 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Measurements
RF and Noise Measurements
Schroter & Sakalas, TU Dresden
Chuck Coa
x s
witc
h
26-50 GHz
Amplifier
Network
Analyzer
PNAP1 P2
DUTGSG 50 GHz Probe
Tuner
MT984A
WG sw
itchLoad
Semiconductor
Parametzer Analyzer
SMU2SMU1
Coax switch changes S
paramater path to noise
measurement path amd plus CW power for
LO path!
2.4mm connector 50
GHz Gore Cable40cm
2.41mm connector 50
GHz Gore Cable40 cm
Nois
e s
ourc
e1G
Hz-5
0 G
Hz
Pulsed DC
28V
Impedance
Tuner Controller
Coax switch changes S
paramater path to noise source
path.
BUScable
Maury , ICCAP
32
RF, DC and Noise 8 -50 GHz noise/lopad pull measurement system
GSG 50 GHz Probe
Coax sw
itch
LO
Drive
Am
plif
ier
OU
TLO IN
Amplifier
1-26 GHzNoise Figure
Meter
TRIAX
Bias
Tee
Bias
Tee
TRIA
XIF 1-26 GHz
A
B
C
26-50 Hz Filter
Atte
nu
ato
r
Attenuator
CEDIC Laboratory Master plan Part 2
Prober PM 5: High frequency standard and special measurements
1. Noise Figure meter , Spectrum analyzer Agilent E 4448 A
2. PM 5
3. PNA 8361 C
4. RF switch, LNA, downconverer
5. RF switch
6. Tuner Maury MT 984A 8-50 GHz
7. Impedance Tuner controller
8. Set of waveguides (missing, SFB)
9. 75-110GHz WG-Coax adapter x2 (missing, SFB)
10. 75-110 GHz waveguide probes with BT (missing)
11. 75-110 GHz wg switch x2 (missing)
12. 75-110 GHz isolator x2 (missing)
13. 1GHz RF Gore cable x2 (40cm) missing
14. 75-110 GHz load (missing)
15. RF power amplifier (75-110 GHz) missing
16. LNA for noise parameter (NP) meas. (missing)
17. Downconverter for NP meas. 75-110 GHz to 1-26 GHz
(missing)
PM 5
1
2
3
4
5
6
7
16 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
De-embedding
RF and Noise De-embedding
RF De-embedding
Intrinsic performance of Device Under Test (DUT)
Improved three-step de-embedding (Vandamme et al., TED 2001)
Noise De-embedding
Noise characteristics of the DUT
Cascade configuration (Chen et al., TED 2001)
Verification
1 10 5010
−6
10−4
10−2
100
Frequency (GHz)
Y−
para
mete
rs (
S)
|y11,thru
|
|y22,short−open
|
|y12,short−open
|
17 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
De-embedding
RF and Noise De-embedding
RF De-embedding
Intrinsic performance of Device Under Test (DUT)
Improved three-step de-embedding (Vandamme et al., TED 2001)
Noise De-embedding
Noise characteristics of the DUT
Cascade configuration (Chen et al., TED 2001)
Verification
1 10 5010
−6
10−4
10−2
100
Frequency (GHz)
Y−
para
mete
rs (
S)
|y11,thru
|
|y22,short−open
|
|y12,short−open
|
17 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
De-embedding
RF and Noise De-embedding
RF De-embedding
Intrinsic performance of Device Under Test (DUT)
Improved three-step de-embedding (Vandamme et al., TED 2001)
Noise De-embedding
Noise characteristics of the DUT
Cascade configuration (Chen et al., TED 2001)
Verification
1 10 5010
−6
10−4
10−2
100
Frequency (GHz)
Y−
para
mete
rs (
S)
|y11,thru
|
|y22,short−open
|
|y12,short−open
|
17 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
De-embedding
RF and Noise De-embedding
RF De-embedding
Intrinsic performance of Device Under Test (DUT)
Improved three-step de-embedding (Vandamme et al., TED 2001)
Noise De-embedding
Noise characteristics of the DUT
Cascade configuration (Chen et al., TED 2001)
Verification
1 10 5010
−6
10−4
10−2
100
Frequency (GHz)
Y−
para
mete
rs (
S)
|y11,thru
|
|y22,short−open
|
|y12,short−open
|
17 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
De-embedding
RF and Noise De-embedding
RF De-embedding
Intrinsic performance of Device Under Test (DUT)
Improved three-step de-embedding (Vandamme et al., TED 2001)
Noise De-embedding
Noise characteristics of the DUT
Cascade configuration (Chen et al., TED 2001)
Verification
1 10 5010
−6
10−4
10−2
100
Frequency (GHz)
Y−
para
mete
rs (
S)
|y11,thru
|
|y22,short−open
|
|y12,short−open
|
17 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
De-embedding
RF and Noise De-embedding
RF De-embedding
Intrinsic performance of Device Under Test (DUT)
Improved three-step de-embedding (Vandamme et al., TED 2001)
Noise De-embedding
Noise characteristics of the DUT
Cascade configuration (Chen et al., TED 2001)
Verification
1 10 5010
−6
10−4
10−2
100
Frequency (GHz)
Y−
para
mete
rs (
S)
|y11,thru
|
|y22,short−open
|
|y12,short−open
|
17 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
De-embedding
RF and Noise De-embedding
RF De-embedding
Intrinsic performance of Device Under Test (DUT)
Improved three-step de-embedding (Vandamme et al., TED 2001)
Noise De-embedding
Noise characteristics of the DUT
Cascade configuration (Chen et al., TED 2001)
Verification
1 10 5010
−6
10−4
10−2
100
Frequency (GHz)
Y−
para
mete
rs (
S)
|y11,thru
|
|y22,short−open
|
|y12,short−open
|
17 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Basics of Thermal Noise
Thermal Noise in MOSTs: A Short History
Hot research topic
Many groups (Birbas & Triantis, Enz & Roy, Schroter & Sakalas, Smit &Scholten, Deen & Chen,...)
Compact models (BSIM, PSP, EKV)
Noise description as a function of geometry, bias, scalingControversies in literature
Discrepancies
Excess noise in short devices and short channel effects (SCE)Noise parameters
Necessity to translate noise behavior of the device to circuit design
A lot of issues remain unclear and need to be clarified
36 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Basics of Thermal Noise
Thermal Noise in MOSTs: A Short History
Hot research topic
Many groups (Birbas & Triantis, Enz & Roy, Schroter & Sakalas, Smit &Scholten, Deen & Chen,...)
Compact models (BSIM, PSP, EKV)
Noise description as a function of geometry, bias, scalingControversies in literature
Discrepancies
Excess noise in short devices and short channel effects (SCE)Noise parameters
Necessity to translate noise behavior of the device to circuit design
A lot of issues remain unclear and need to be clarified
36 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Basics of Thermal Noise
Thermal Noise in MOSTs: A Short History
Hot research topic
Many groups (Birbas & Triantis, Enz & Roy, Schroter & Sakalas, Smit &Scholten, Deen & Chen,...)
Compact models (BSIM, PSP, EKV)
Noise description as a function of geometry, bias, scalingControversies in literature
Discrepancies
Excess noise in short devices and short channel effects (SCE)Noise parameters
Necessity to translate noise behavior of the device to circuit design
A lot of issues remain unclear and need to be clarified
36 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Basics of Thermal Noise
Thermal Noise in MOSTs: A Short History
Hot research topic
Many groups (Birbas & Triantis, Enz & Roy, Schroter & Sakalas, Smit &Scholten, Deen & Chen,...)
Compact models (BSIM, PSP, EKV)
Noise description as a function of geometry, bias, scalingControversies in literature
Discrepancies
Excess noise in short devices and short channel effects (SCE)Noise parameters
Necessity to translate noise behavior of the device to circuit design
A lot of issues remain unclear and need to be clarified
36 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Basics of Thermal Noise
Thermal Noise in MOSTs: A Short History
Hot research topic
Many groups (Birbas & Triantis, Enz & Roy, Schroter & Sakalas, Smit &Scholten, Deen & Chen,...)
Compact models (BSIM, PSP, EKV)
Noise description as a function of geometry, bias, scalingControversies in literature
Discrepancies
Excess noise in short devices and short channel effects (SCE)Noise parameters
Necessity to translate noise behavior of the device to circuit design
A lot of issues remain unclear and need to be clarified
36 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Thermal Noise in MOSTs: The EKV3 Model
Thermal noise due to local random fluctuations of the carrier velocity
Transferred to the device terminalsModeled as a random current added to the DC local current
Modeling approach
Local noisy sourcex and x+Δx from SourceL-x and L-(x+Δx) from DrainNoisy current source in parallel withΔRTransistor is split into T1 and T2Channel conductance: 1
Gch= 1
G1+ 1
G2Drain fluctuation due to local noise source: δ InD = Gch∆Rδ InPSD of drain current due to all noisy sources:
S∆In2
D(ω) =
∫ L0 G2
ch∆R2S
δ I2n(ω,x)
∆x dx
Modeling approach applicable to frequencies well beyond fT
37 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Thermal Noise in MOSTs: The EKV3 Model
Thermal noise due to local random fluctuations of the carrier velocity
Transferred to the device terminalsModeled as a random current added to the DC local current
Modeling approach
Local noisy sourcex and x+Δx from SourceL-x and L-(x+Δx) from DrainNoisy current source in parallel withΔRTransistor is split into T1 and T2Channel conductance: 1
Gch= 1
G1+ 1
G2Drain fluctuation due to local noise source: δ InD = Gch∆Rδ InPSD of drain current due to all noisy sources:
S∆In2
D(ω) =
∫ L0 G2
ch∆R2S
δ I2n(ω,x)
∆x dx
Modeling approach applicable to frequencies well beyond fT
37 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Thermal Noise in MOSTs: The EKV3 Model
Thermal noise due to local random fluctuations of the carrier velocity
Transferred to the device terminalsModeled as a random current added to the DC local current
Modeling approach
Local noisy sourcex and x+Δx from SourceL-x and L-(x+Δx) from DrainNoisy current source in parallel withΔRTransistor is split into T1 and T2Channel conductance: 1
Gch= 1
G1+ 1
G2Drain fluctuation due to local noise source: δ InD = Gch∆Rδ InPSD of drain current due to all noisy sources:
S∆In2
D(ω) =
∫ L0 G2
ch∆R2S
δ I2n(ω,x)
∆x dx
Modeling approach applicable to frequencies well beyond fT
37 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Thermal Noise of Long Channel Devices
Constant carrier mobility, μ
PSD of drain noise currentID = µW (−Qi )
dVdx
Gch =dIDdV = µ(−Qi )
WL
∆R = ∆VID
= ∆xW µ(−Qi )
Due to local noise source δIn: Sδ I2nD
(ω,x) = G2ch(x)∆R2(x)S
δ I2n(ω,x)
Due to all noise sources: S∆I2nD
(ω) =∫ L0 ( ∆x
L )2S
δ I2n (ω,x)∆x dx = 1
L2∫ Lo ∆xS
δ I2n(ω,x)dx
Introduction of noise conductance GnD
S∆I2nD
= 4kTGnD
GnD = µWL2∫ Lo (−Qi )dx = µ
L2 |QI |
38 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Thermal Noise of Long Channel Devices
Constant carrier mobility, μ
PSD of drain noise currentID = µW (−Qi )
dVdx
Gch =dIDdV = µ(−Qi )
WL
∆R = ∆VID
= ∆xW µ(−Qi )
Due to local noise source δIn: Sδ I2nD
(ω,x) = G2ch(x)∆R2(x)S
δ I2n(ω,x)
Due to all noise sources: S∆I2nD
(ω) =∫ L0 ( ∆x
L )2S
δ I2n (ω,x)∆x dx = 1
L2∫ Lo ∆xS
δ I2n(ω,x)dx
Introduction of noise conductance GnD
S∆I2nD
= 4kTGnD
GnD = µWL2∫ Lo (−Qi )dx = µ
L2 |QI |
38 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Thermal Noise of Long Channel Devices
Constant carrier mobility, μ
PSD of drain noise currentID = µW (−Qi )
dVdx
Gch =dIDdV = µ(−Qi )
WL
∆R = ∆VID
= ∆xW µ(−Qi )
Due to local noise source δIn: Sδ I2nD
(ω,x) = G2ch(x)∆R2(x)S
δ I2n(ω,x)
Due to all noise sources: S∆I2nD
(ω) =∫ L0 ( ∆x
L )2S
δ I2n (ω,x)∆x dx = 1
L2∫ Lo ∆xS
δ I2n(ω,x)dx
Introduction of noise conductance GnD
S∆I2nD
= 4kTGnD
GnD = µWL2∫ Lo (−Qi )dx = µ
L2 |QI |
38 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Short Channel Effects
Velocity Saturation (VS) and Carrier Heating (CH)
Electrons and holes have a characteristic Ec and usat
When Ex becomes comparable to Ec then udrift startsto saturate
High lateral electric field
Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field
VS and CH, interdependent phenomena
EKV3 accounts for both
Critical field parameter
λc =2UTLeff Ec
The higher the λc , the stronger the SCE
Channel Length Modulation (CLM)
In S.I. as VDS increases the channel pinches off
Channel is split into two regions
Non-saturated region (Leff )VS region,ΔL
Carriers in VS region
Maximum velocityNoise voltage fluctuations do not propagateto drain
Only the active region contributes to channel thermalnoise
39 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Short Channel Effects
Velocity Saturation (VS) and Carrier Heating (CH)
Electrons and holes have a characteristic Ec and usat
When Ex becomes comparable to Ec then udrift startsto saturate
High lateral electric field
Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field
VS and CH, interdependent phenomena
EKV3 accounts for both
Critical field parameter
λc =2UTLeff Ec
The higher the λc , the stronger the SCE
Channel Length Modulation (CLM)
In S.I. as VDS increases the channel pinches off
Channel is split into two regions
Non-saturated region (Leff )VS region,ΔL
Carriers in VS region
Maximum velocityNoise voltage fluctuations do not propagateto drain
Only the active region contributes to channel thermalnoise
39 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Short Channel Effects
Velocity Saturation (VS) and Carrier Heating (CH)
Electrons and holes have a characteristic Ec and usat
When Ex becomes comparable to Ec then udrift startsto saturate
High lateral electric field
Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field
VS and CH, interdependent phenomena
EKV3 accounts for both
Critical field parameter
λc =2UTLeff Ec
The higher the λc , the stronger the SCE
Channel Length Modulation (CLM)
In S.I. as VDS increases the channel pinches off
Channel is split into two regions
Non-saturated region (Leff )VS region,ΔL
Carriers in VS region
Maximum velocityNoise voltage fluctuations do not propagateto drain
Only the active region contributes to channel thermalnoise
39 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Short Channel Effects
Velocity Saturation (VS) and Carrier Heating (CH)
Electrons and holes have a characteristic Ec and usat
When Ex becomes comparable to Ec then udrift startsto saturate
High lateral electric field
Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field
VS and CH, interdependent phenomena
EKV3 accounts for both
Critical field parameter
λc =2UTLeff Ec
The higher the λc , the stronger the SCE
Channel Length Modulation (CLM)
In S.I. as VDS increases the channel pinches off
Channel is split into two regions
Non-saturated region (Leff )VS region,ΔL
Carriers in VS region
Maximum velocityNoise voltage fluctuations do not propagateto drain
Only the active region contributes to channel thermalnoise
39 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Short Channel Effects
Velocity Saturation (VS) and Carrier Heating (CH)
Electrons and holes have a characteristic Ec and usat
When Ex becomes comparable to Ec then udrift startsto saturate
High lateral electric field
Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field
VS and CH, interdependent phenomena
EKV3 accounts for both
Critical field parameter
λc =2UTLeff Ec
The higher the λc , the stronger the SCE
Channel Length Modulation (CLM)
In S.I. as VDS increases the channel pinches off
Channel is split into two regions
Non-saturated region (Leff )VS region,ΔL
Carriers in VS region
Maximum velocityNoise voltage fluctuations do not propagateto drain
Only the active region contributes to channel thermalnoise
39 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Short Channel Effects
Velocity Saturation (VS) and Carrier Heating (CH)
Electrons and holes have a characteristic Ec and usat
When Ex becomes comparable to Ec then udrift startsto saturate
High lateral electric field
Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field
VS and CH, interdependent phenomena
EKV3 accounts for both
Critical field parameter
λc =2UTLeff Ec
The higher the λc , the stronger the SCE
Channel Length Modulation (CLM)
In S.I. as VDS increases the channel pinches off
Channel is split into two regions
Non-saturated region (Leff )VS region,ΔL
Carriers in VS region
Maximum velocityNoise voltage fluctuations do not propagateto drain
Only the active region contributes to channel thermalnoise
39 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Short Channel Effects
Velocity Saturation (VS) and Carrier Heating (CH)
Electrons and holes have a characteristic Ec and usat
When Ex becomes comparable to Ec then udrift startsto saturate
High lateral electric field
Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field
VS and CH, interdependent phenomena
EKV3 accounts for both
Critical field parameter
λc =2UTLeff Ec
The higher the λc , the stronger the SCE
Channel Length Modulation (CLM)
In S.I. as VDS increases the channel pinches off
Channel is split into two regions
Non-saturated region (Leff )VS region,ΔL
Carriers in VS region
Maximum velocityNoise voltage fluctuations do not propagateto drain
Only the active region contributes to channel thermalnoise
39 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Short Channel Effects
Velocity Saturation (VS) and Carrier Heating (CH)
Electrons and holes have a characteristic Ec and usat
When Ex becomes comparable to Ec then udrift startsto saturate
High lateral electric field
Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field
VS and CH, interdependent phenomena
EKV3 accounts for both
Critical field parameter
λc =2UTLeff Ec
The higher the λc , the stronger the SCE
Channel Length Modulation (CLM)
In S.I. as VDS increases the channel pinches off
Channel is split into two regions
Non-saturated region (Leff )VS region,ΔL
Carriers in VS region
Maximum velocityNoise voltage fluctuations do not propagateto drain
Only the active region contributes to channel thermalnoise
39 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Short Channel Effects
Velocity Saturation (VS) and Carrier Heating (CH)
Electrons and holes have a characteristic Ec and usat
When Ex becomes comparable to Ec then udrift startsto saturate
High lateral electric field
Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field
VS and CH, interdependent phenomena
EKV3 accounts for both
Critical field parameter
λc =2UTLeff Ec
The higher the λc , the stronger the SCE
Channel Length Modulation (CLM)
In S.I. as VDS increases the channel pinches off
Channel is split into two regions
Non-saturated region (Leff )VS region,ΔL
Carriers in VS region
Maximum velocityNoise voltage fluctuations do not propagateto drain
Only the active region contributes to channel thermalnoise
39 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Short Channel Effects
Velocity Saturation (VS) and Carrier Heating (CH)
Electrons and holes have a characteristic Ec and usat
When Ex becomes comparable to Ec then udrift startsto saturate
High lateral electric field
Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field
VS and CH, interdependent phenomena
EKV3 accounts for both
Critical field parameter
λc =2UTLeff Ec
The higher the λc , the stronger the SCE
Channel Length Modulation (CLM)
In S.I. as VDS increases the channel pinches off
Channel is split into two regions
Non-saturated region (Leff )VS region,ΔL
Carriers in VS region
Maximum velocityNoise voltage fluctuations do not propagateto drain
Only the active region contributes to channel thermalnoise
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Short Channel Effects
Velocity Saturation (VS) and Carrier Heating (CH)
Electrons and holes have a characteristic Ec and usat
When Ex becomes comparable to Ec then udrift startsto saturate
High lateral electric field
Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field
VS and CH, interdependent phenomena
EKV3 accounts for both
Critical field parameter
λc =2UTLeff Ec
The higher the λc , the stronger the SCE
Channel Length Modulation (CLM)
In S.I. as VDS increases the channel pinches off
Channel is split into two regions
Non-saturated region (Leff )VS region,ΔL
Carriers in VS region
Maximum velocityNoise voltage fluctuations do not propagateto drain
Only the active region contributes to channel thermalnoise
39 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Short Channel Effects
Velocity Saturation (VS) and Carrier Heating (CH)
Electrons and holes have a characteristic Ec and usat
When Ex becomes comparable to Ec then udrift startsto saturate
High lateral electric field
Carriers gain higher energyRandom collisions w. latticeCarrier temperature increases w. electric field
VS and CH, interdependent phenomena
EKV3 accounts for both
Critical field parameter
λc =2UTLeff Ec
The higher the λc , the stronger the SCE
Channel Length Modulation (CLM)
In S.I. as VDS increases the channel pinches off
Channel is split into two regions
Non-saturated region (Leff )VS region,ΔL
Carriers in VS region
Maximum velocityNoise voltage fluctuations do not propagateto drain
Only the active region contributes to channel thermalnoise
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Thermal Noise of Short Channel Devices
Incorporating SCE in PSD of drain noise current (Roy and Enz, TED 2005)
S.I. assumption (SCE dominant)Two transistor approachEffective mobility µeff varies w. Ex
Thermal noise conductance
GnD = M WL2eff
∫ Leff0 µz
TCTL
(−Qi(x))dx
Leff =L, for VD<VDsatL−∆L, for VD≥VDsat
VDeff =VD , for VD<VDsatVDsat , for VD≥VDsat
M = 1(1− VDeff −VS
2Leff EC)2
Analytical expression
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Thermal Noise of Short Channel Devices
Incorporating SCE in PSD of drain noise current (Roy and Enz, TED 2005)
S.I. assumption (SCE dominant)Two transistor approachEffective mobility µeff varies w. Ex
Thermal noise conductance
GnD = M WL2eff
∫ Leff0 µz
TCTL
(−Qi(x))dx
Leff =L, for VD<VDsatL−∆L, for VD≥VDsat
VDeff =VD , for VD<VDsatVDsat , for VD≥VDsat
M = 1(1− VDeff −VS
2Leff EC)2
Analytical expression
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Thermal Noise Parameters
Thermal noise parameter: δ = GnDGds0
GnD and Gds0 calculated at different operating pointsLess relevant for circuit design
Thermal noise excess factor: γ = GnDGm
GnD and Gm calculated at the same operating pointsCharacterizes noise performance of transconductors
Used in noise calculation of cascode LNA: Fmin = 1 + 2γω
ωT
√βGγ
(1−c)2
The smaller γ, the better the noise performanceDramatically increases in linear operation
Importance of γ underestimated by scientific community
Not validated w. measurementsδ instead of γ
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Thermal Noise Parameters
Thermal noise parameter: δ = GnDGds0
GnD and Gds0 calculated at different operating pointsLess relevant for circuit design
Thermal noise excess factor: γ = GnDGm
GnD and Gm calculated at the same operating pointsCharacterizes noise performance of transconductors
Used in noise calculation of cascode LNA: Fmin = 1 + 2γω
ωT
√βGγ
(1−c)2
The smaller γ, the better the noise performanceDramatically increases in linear operation
Importance of γ underestimated by scientific community
Not validated w. measurementsδ instead of γ
41 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
The EKV3 Approach
Thermal Noise Parameters
Thermal noise parameter: δ = GnDGds0
GnD and Gds0 calculated at different operating pointsLess relevant for circuit design
Thermal noise excess factor: γ = GnDGm
GnD and Gm calculated at the same operating pointsCharacterizes noise performance of transconductors
Used in noise calculation of cascode LNA: Fmin = 1 + 2γω
ωT
√βGγ
(1−c)2
The smaller γ, the better the noise performanceDramatically increases in linear operation
Importance of γ underestimated by scientific community
Not validated w. measurementsδ instead of γ
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Two-Port Noise Theory
Noise in Two-Port
Noise generated by any two-port device
Noiseless network w. two partially correlatednoise sources4 noise parameters
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
5 GHz LNA
5 GHz WiMAX LNA Design
System level analysis of WiMAX RX
NF = 3dB, Gain = 18dB (could be relaxed)
Operation at 5.3GHz
Based on cascode topology (Andreani et al., CAS2 2001)
Extracted EKV3 model rather than the commercial one
Bias in M.I. region via (Gm/ID) · fTID = 1.47mAIC close to the center of M.I.
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
5 GHz LNA
5 GHz WiMAX LNA Design
System level analysis of WiMAX RX
NF = 3dB, Gain = 18dB (could be relaxed)
Operation at 5.3GHz
Based on cascode topology (Andreani et al., CAS2 2001)
Extracted EKV3 model rather than the commercial one
Bias in M.I. region via (Gm/ID) · fTID = 1.47mAIC close to the center of M.I.
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
5 GHz LNA
5 GHz WiMAX LNA Design
System level analysis of WiMAX RX
NF = 3dB, Gain = 18dB (could be relaxed)
Operation at 5.3GHz
Based on cascode topology (Andreani et al., CAS2 2001)
Extracted EKV3 model rather than the commercial one
Bias in M.I. region via (Gm/ID) · fTID = 1.47mAIC close to the center of M.I.
57 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
5 GHz LNA
5 GHz WiMAX LNA Design
System level analysis of WiMAX RX
NF = 3dB, Gain = 18dB (could be relaxed)
Operation at 5.3GHz
Based on cascode topology (Andreani et al., CAS2 2001)
Extracted EKV3 model rather than the commercial one
Bias in M.I. region via (Gm/ID) · fTID = 1.47mAIC close to the center of M.I.
57 / 65
Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
5 GHz LNA
5 GHz WiMAX LNA Design
System level analysis of WiMAX RX
NF = 3dB, Gain = 18dB (could be relaxed)
Operation at 5.3GHz
Based on cascode topology (Andreani et al., CAS2 2001)
Extracted EKV3 model rather than the commercial one
Bias in M.I. region via (Gm/ID) · fTID = 1.47mAIC close to the center of M.I.
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
5 GHz LNA
5 GHz WiMAX LNA Results
2 3 4 5 6 7 8
−80
−60
−40
−20
0
20
Frequency (GHz)
(dB
)
S11
S12
S21
S22
2 3 4 5 6 7 80
1
2
3
4
5
6
Frequency (GHz)
NF
(d
B)
NFNF
min
2 3 4 5 6 7 80
1
2
4
6
8
Frequency (GHz)
Sta
bilit
y C
oeff
icie
nts
(−
)
Kf
B1f
−40 −30 −20 −10 0−30
−20
−10
0
10
Pin
(dBm)
Po
ut (
dB
m)
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
5 GHz LNA
5 GHz WiMAX LNA Overall FoM
High overall performance (FoM =Gain (dB)·IIP3(mW )·fc (GHz)
(NF−1)(abs)·PDC (mW ))
0
1
2
3
4
5
6
7
References
Fo
M (
−)
19.31 mW
3.96 mW
6.2 mW
2.6 mW
1.67 mW
10 mW
Lorenzo et al., ICCMS 2010
Asgaran et al., MWCL 2006
Allstot et al., RFIC Symp 2004
Liu et al., MOTL 2005
This work
Chiu et al., MTT 2005
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
5 GHz LNA
Conclusions on LNA Design
Device to circuit via (Gm/ID) · fT FoM
Fairly high overall performance
Low power consumption
M.I. ideal for LNA design
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
5 GHz LNA
Conclusions on LNA Design
Device to circuit via (Gm/ID) · fT FoM
Fairly high overall performance
Low power consumption
M.I. ideal for LNA design
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
5 GHz LNA
Conclusions on LNA Design
Device to circuit via (Gm/ID) · fT FoM
Fairly high overall performance
Low power consumption
M.I. ideal for LNA design
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
5 GHz LNA
Conclusions on LNA Design
Device to circuit via (Gm/ID) · fT FoM
Fairly high overall performance
Low power consumption
M.I. ideal for LNA design
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
5 GHz LNA
Conclusions on LNA Design
Device to circuit via (Gm/ID) · fT FoM
Fairly high overall performance
Low power consumption
M.I. ideal for LNA design
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Final Conclusions
Low-power RF CMOS transceiver design
Connection between device and circuit performance
Design, layout and fabrication of an RF Test Chip w. a 30 GHz LNAFoM representative for LNA design vs. technology nodes, channel length and biasGreat potential of CMOS downscaling in realizing high performance low-power RFICs
Validation through the design of a WiMAX LNA at 5.3 GHz
Operation in M.I.(Gm/ID ) · fT as a design guideHigh overall performance w. minimum power consumption
RF noise characteristics vs.channel length scaling and IC
Excess noise factor
Importance in terms of RFIC design highlightedVerified w. measurements for the first timeImpact of SCE
Small-signal and noise results validated w. EKV3
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Final Conclusions
Low-power RF CMOS transceiver design
Connection between device and circuit performance
Design, layout and fabrication of an RF Test Chip w. a 30 GHz LNAFoM representative for LNA design vs. technology nodes, channel length and biasGreat potential of CMOS downscaling in realizing high performance low-power RFICs
Validation through the design of a WiMAX LNA at 5.3 GHz
Operation in M.I.(Gm/ID ) · fT as a design guideHigh overall performance w. minimum power consumption
RF noise characteristics vs.channel length scaling and IC
Excess noise factor
Importance in terms of RFIC design highlightedVerified w. measurements for the first timeImpact of SCE
Small-signal and noise results validated w. EKV3
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Final Conclusions
Low-power RF CMOS transceiver design
Connection between device and circuit performance
Design, layout and fabrication of an RF Test Chip w. a 30 GHz LNAFoM representative for LNA design vs. technology nodes, channel length and biasGreat potential of CMOS downscaling in realizing high performance low-power RFICs
Validation through the design of a WiMAX LNA at 5.3 GHz
Operation in M.I.(Gm/ID ) · fT as a design guideHigh overall performance w. minimum power consumption
RF noise characteristics vs.channel length scaling and IC
Excess noise factor
Importance in terms of RFIC design highlightedVerified w. measurements for the first timeImpact of SCE
Small-signal and noise results validated w. EKV3
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Final Conclusions
Low-power RF CMOS transceiver design
Connection between device and circuit performance
Design, layout and fabrication of an RF Test Chip w. a 30 GHz LNAFoM representative for LNA design vs. technology nodes, channel length and biasGreat potential of CMOS downscaling in realizing high performance low-power RFICs
Validation through the design of a WiMAX LNA at 5.3 GHz
Operation in M.I.(Gm/ID ) · fT as a design guideHigh overall performance w. minimum power consumption
RF noise characteristics vs.channel length scaling and IC
Excess noise factor
Importance in terms of RFIC design highlightedVerified w. measurements for the first timeImpact of SCE
Small-signal and noise results validated w. EKV3
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Final Conclusions
Low-power RF CMOS transceiver design
Connection between device and circuit performance
Design, layout and fabrication of an RF Test Chip w. a 30 GHz LNAFoM representative for LNA design vs. technology nodes, channel length and biasGreat potential of CMOS downscaling in realizing high performance low-power RFICs
Validation through the design of a WiMAX LNA at 5.3 GHz
Operation in M.I.(Gm/ID ) · fT as a design guideHigh overall performance w. minimum power consumption
RF noise characteristics vs.channel length scaling and IC
Excess noise factor
Importance in terms of RFIC design highlightedVerified w. measurements for the first timeImpact of SCE
Small-signal and noise results validated w. EKV3
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Final Conclusions
Low-power RF CMOS transceiver design
Connection between device and circuit performance
Design, layout and fabrication of an RF Test Chip w. a 30 GHz LNAFoM representative for LNA design vs. technology nodes, channel length and biasGreat potential of CMOS downscaling in realizing high performance low-power RFICs
Validation through the design of a WiMAX LNA at 5.3 GHz
Operation in M.I.(Gm/ID ) · fT as a design guideHigh overall performance w. minimum power consumption
RF noise characteristics vs.channel length scaling and IC
Excess noise factor
Importance in terms of RFIC design highlightedVerified w. measurements for the first timeImpact of SCE
Small-signal and noise results validated w. EKV3
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Journal Publications
1 A. Antonopoulos, M. Bucher, K. Papathanasiou, N. Mavredakis, N. Makris, R. K. Sharma, P. Sakalas, M. Schroter,“CMOS Small-Signal and Thermal Noise Modeling at High Frequencies”, IEEE Trans. Electron Devices, Vol. 60, No.11, November 2013.
2 A. Antonopoulos, M. Bucher, K. Papathanasiou, N. Makris, N. Mavredakis, R. K. Sharma, P. Sakalas, M. Schroter,“Modeling of High Frequency Noise of Silicon MOS Transistors for RFIC Design”, International Journal ofNumerical Modelling: Electronic Networks, Devices and Fields, special issue on Modeling of high-frequency silicontransistors, in press.
3 W. Grabinski, M. Brinson, P. Nenzi, F. Lannutti, N. Makris, A. Antonopoulos, M. Bucher, “Open source circuitsimulation tools for RF compact semiconductor device modelling”, International Journal of Numerical Modelling:Electronic Networks, Devices and Fields, special issue on Modeling of high-frequency silicon transistors, invitedpaper, in press.
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Conference Publications
1 A. Antonopoulos, M. Bucher, K. Papathanasiou, N. Makris, R. K. Sharma, P. Sakalas, M. Schroter, “CMOS RF Noise,Scaling, and Compact Modeling for RFIC Design”, IEEE Radio Frequency Integrated Circuits Symposium (RFIC), pp.53-56, Seattle, June 2013.
2 R.K Sharma, A. Antonopoulos, N. Mavredakis, M. Bucher, “Impact of Design Engineering on RF Linearity and NoisePerformance of Nanoscale DG SOI MOSFETs”, 14th International Conference on Ultime Integration on Silicon(ULIS), pp. 145-148, Coventry, 2013.
3 A. Antonopoulos, K. Papathanasiou, M. Bucher, K. Papathanasiou, “CMOS LNA Design at 30 GHz – A Case Study”,8th International Caribbean Conference on Devices Circuits and Systems (ICCDCS), pp. 1-4, Playa Del Carmen, 2012.
4 R. K. Sharma, A. Antonopoulos, N. Mavredakis, M. Bucher, “Analog/RF Figures of Merit of Advanced DGMOSFETs”, 8th International Caribbean Conference on Devices Circuits and Systems (ICCDCS), pp. 1-4, Playa DelCarmen, 2012.
5 K. Papathanasiou, N. Makris, A. Antonopoulos, M. Bucher, “Moderate inversion: analog and RF benchmarking of theEKV3 compact model”, 29th International Conference on Microelectronics (MIEL), Belgrade, May 12-14, 2014,accepted.
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions
Acknowledgements
H παρούσvα έρευνα έχει σvυγχρηματοδοτηθεί από τηνΕυρωπαϊκή ΄Ενωσvη (ΕυρωπαϊκόΚοινωνικόΤαμείο- ΕΚΤ) και από εθνικούς πόρους μέσvω του Επιχειρησvιακού Προγράμματος «Εκπαίδευσvη και ΔιαΒίουΜάθησvη» τουΕθνικούΣτρατηγικούΠλαισvίουΑναφοράς (ΕΣΠΑ) –ΕρευνητικόΧρηματοδοτού-μενο ΄Εργο: Ηράκλειτος ΙΙ .Επένδυσvη σvτην κοινωνία της γνώσvης μέσvω του ΕυρωπαϊκούΚοινωνικούΤαμείου.
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Objective LNA Design RF Test Chip FoM for RFIC Design Thermal Noise LNA Implementation Conclusions