6.776 High Speed Communication Circuits and Systems Lecture 13

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6.776
High Speed Communication Circuits and Systems
Lecture 13
LNA Design Examples and Recent Techniques
Massachusetts Institute of Technology
March 17, 2005
Copyright © 2005 by Hae-Seung Lee and Michael H.
Perrott
LNA Design Example
ƒ
In our previous design
example, we picked the Q
for the minimum possible
noise factor: Q=1.4
We (arbitrarily) chose
Vgs=1V
7
6
5.5
5
4.5
c = -j0
4
3.5
3
The design yields
Achievable values as
a function of Q under
the constraints that
1
= wo
(Lg+Ldeg)Cgs
gm
L = Rs
Cgs deg
6.5
Noise Factor Scaling Coefficient
ƒ
Noise Factor Scaling Coefficient Versus Q for 0.18 µ NMOS Device
2.5
1
Note:
1
Q=
2RswoCgs
c = -j0.55
c = -j1
1.5
2
2.5
3
Q
3.5
4
4.5
5
And requires
H.-S. Lee & M.H. Perrott
MIT OCW
Id
Vgs
M1
1.8µ
W
=
L
0.18µ
gm and gdo (milliAmps/Volts) and Vgs (Volts)
Bias Point (Vgs = 1V)
4.5
Vgs , gm , and gdo versus Current Density for 0.18µ NMOS
Chosen bias
point is Vgs = 1 V
4
3.5
3
2.5
Lower power Higher power
Higher ft
Lower ft
Lower IIP3
Higher IIP3
gdo
gdo
Lower g
Higher g
m
m
gdo
2
Vgs
1.5
gm
1
0.5
0
0
100
200
300
400
500
600
700
Current Density (microAmps/micron)
ƒ
Problem: the device is in velocity saturation
H.-S. Lee & M.H. Perrott
MIT OCW
We Have Two “Handles” to Lower Power Dissipation
ƒ
Key formulas
ƒ
Lower current density, Iden
ƒ
Lower W
- Benefits
- Negatives
- Benefit: lower power
- Negatives
H.-S. Lee & M.H. Perrott
MIT OCW
Id
Vgs
M1
1.8µ
W
=
L
0.18µ
gm and gdo (milliAmps/Volts) and Vgs (Volts)
First Step in Redesign – Lower Current Density, Iden
4.5
Vgs , gm , and gdo versus Current Density for 0.18µ NMOS
New bias
point is Vgs = 0.8 V
4
3.5
gdo
3
2.5
2
Vgs
1.5
gm
1
0.5
0
0
100
200
300
400
500
600
700
Current Density (microAmps/micron)
ƒ
Need to verify that IIP3 still OK (once we know Q)
H.-S. Lee & M.H. Perrott
MIT OCW
Recalculate Process Parameters
ƒ
ƒ
Assume that the only thing that changes is gm/gdo and ft
- From previous graph (I
den
= 100 µ A/µ m)
We now need to replot the Noise Factor scaling
coefficient
- Also plot over a wider range of Q
Noise Factor scaling coefficient
H.-S. Lee & M.H. Perrott
MIT OCW
Update Plot of Noise Factor Scaling Coefficient
Noise Factor Scaling Coefficient Versus Q for 0.18 µ NMOS Device
18
Noise Factor Scaling Coefficient
16
14
12
10
Achievable values as
a function of Q under
the constraints that
1
= wo
(Lg+Ldeg)Cgs
gm
L = Rs
Cgs deg
8
c = -j0.55
6
c = -j0
Note:
1
Q=
2RswoCgs
4
c = -j1
2
1
2
H.-S. Lee & M.H. Perrott
3
4
5
6
Q
7
8
9
10
MIT OCW
Second Step in Redesign – Lower W (or Raise Q)
ƒ
Recall
ƒ
Ibias can be related to Q as
ƒ
We previously chose Q = 1.4, let’s now choose Q = 6
- This alone cuts power dissipation by more than a factor
-
of 4. Combined with lower Iden, almost a factor of 8
reduction in power
New value of W :
H.-S. Lee & M.H. Perrott
MIT OCW
Power Dissipation and Noise Figure of New Design
ƒ
Power dissipation
- At 1.8 V supply
ƒ
Noise Figure
- f previously calculated, get scaling coeff. from plot
t
H.-S. Lee & M.H. Perrott
MIT OCW
Updated Component Values
ƒ
Assume Rs = 50 Ohms, Q = 6, fo = 1.8 GHz, ft = 42.8 GHz
-C
-L
-L
gs
calculated as
deg
g
calculated as
calculated as
H.-S. Lee & M.H. Perrott
MIT OCW
Inclusion of Load (Resonant Tank)
ƒ
Add output load to achieve voltage gain
- Note: in practice, use cascode device
LL
vin
Rs
RL
Iout
inout
iout
Lg
Zin
LL
Lg
ens
CL
vout
ƒ We’re ignoring Cgd in this analysis
Rs
RL
CL
Zgs
vgs
Cgs
gmvgs
indg
Ldeg
Vout
M1
vin
Ldeg
Vbias
H.-S. Lee & M.H. Perrott
MIT OCW
Calculation of Gain
ƒ
Assume load tank resonates
at frequency ωo
LL
RL
CL
vout
inout
Rs
vin
ƒ
Assume Zin = Rs
H.-S. Lee & M.H. Perrott
ens
iout
Lg
Zin
Zgs
vgs
Cgs
gmvgs
indg
Ldeg
MIT OCW
Setting of Gain
ƒ
Parameters gm and Q were set by Noise Figure and IIP3
considerations
- Note that Q is of the input matching network, not the
amplifier load
ƒ
RL is the free parameter – use it to set the desired gain
- Note that higher R
for a given resonant frequency and
capacitive load will increase QL (i.e., Q of the amplifier
load)
ƒ There is a tradeoff between amplifier bandwidth and gain
Generally set RL according to overall receiver noise and
IIP3 requirements (higher gain is better for noise)
ƒ Very large gain (i.e., high QL) is generally avoided to
minimize sensitivity to process/temp variations that will shift
the center frequency and to avoid parasitic oscillation
L
-
H.-S. Lee & M.H. Perrott
MIT OCW
The Issue of Package Parasitics
Noise
Voltage
LL
Equivalent
Source
Rs
RL
Lbondwire2
CL
Vout
Lext Lbondwire3
Noise
Current
Mixer and
Other Circuits
M1
vin
Ldeg
Vbias
Noise
Voltage
ƒ
Noise
Current
Lbondwire1
Bondwire (and package) inductance causes two issues
- Value of degeneration inductor is altered
- Noise from other circuits couples into LNA
H.-S. Lee & M.H. Perrott
MIT OCW
Differential LNA
LL
Rs
RL
CL
Vout
Lg
M1
vin
Ldeg
CL
RL
LL
Vout
Ldeg
Lg
M2
2
-vin
2
Vbias
ƒ
Rs
Ibias
Advantages
- Value of L is now much better controlled
- Much less sensitivity to noise from other circuits
deg
ƒ
Disadvantages
- Twice the power as the single-ended version
- Requires differential input at the chip
H.-S. Lee & M.H. Perrott
MIT OCW
Note: Be Generous with Substrate Contact Placement
To Ldeg
To Lg
GND
To amplifer
load
GND
G
D
S
Substrate
Contact
N+
enRsub
enRsub
Rsub
Hot electrons and
other noise
ƒ
Substrate
Contact
N+
P-
Rsub
Hot electrons and
other noise
Having an abundance of nearby substrate contacts
helps in three ways
- Reduces possibility of latch up issues
- Lowers R and its associated noise
ƒ Impacts LNA through backgate effect (g )
- Absorbs stray electrons from other circuits that will
sub
mb
ƒ
otherwise inject noise into the LNA
Negative: takes up a bit extra area
H.-S. Lee & M.H. Perrott
MIT OCW
Broadband LNA Design
Zin
High Speed
Broadband
Signal
ƒ
ƒ
ƒ
PC board
trace
Zo
Package
Interface
LNA
Most broadband systems are not as stringent on their
noise requirements as wireless counterparts
Equivalent input voltage is often specified rather than a
Noise Figure
Typically use a resistor to achieve a broadband match
to input source
- We know from Lecture 12 that this will limit the noise
ƒ
figure to be higher than 3 dB
For those cases where low Noise Figure is important,
are there alternative ways to achieve a broadband
match?
H.-S. Lee & M.H. Perrott
MIT OCW
Recall Noise Factor Calculation for Resistor Load
Source
Source
Rs
Rs
enRs
enRL
vin
RL
vout
RL
ƒ
Total output noise
ƒ
Total output noise due to source
ƒ
Noise Factor
H.-S. Lee & M.H. Perrott
vnout
MIT OCW
Noise Figure For Amp with Resistor in Feedback
Rf
Source
Source
Rs
Rs
A
Vin
Vref
Vout
Rf
enRf
enRs
incremental
ground
A
Vnout
ƒ
Total output noise (assume A is large and noiseless)
ƒ
Total output noise due to source (assume A is large)
ƒ
Noise Factor
H.-S. Lee & M.H. Perrott
MIT OCW
Input Impedance For Amp with Resistor in Feedback
Source
Rf
enRf
enRs
Rs
A
Vnout
Zin
ƒ
Recall from Miller effect discussion that
ƒ
If we choose Zin to match Rs, then
ƒ
Therefore, Noise Figure lowered by being able to
choose a large value for Rf since
H.-S. Lee & M.H. Perrott
MIT OCW
Resistor Termination vs. Resistor in Feedback
For Termination
Source
Rf
enRf
For Termination
enRs
Rs
A
Vnout
Zin
H.-S. Lee & M.H. Perrott
MIT OCW
Example – Series-Shunt Amplifier
Rin
Rs
vin
Rout
RL
Rf
vx
vout
M1
Vbias
R1
ƒ
ƒ
Recall that the above amplifier was analyzed in
Lecture 7
Tom Lee’s book points out that this amplifier topology
is actually used in noise figure measurement systems
such as the Hewlett-Packard 8970A
- It is likely to be a much higher performance transistor
than a CMOS device, though
H.-S. Lee & M.H. Perrott
MIT OCW
Recent CMOS LNA Techniques
ƒ
Consider increasing gm for a given current by using
both PMOS and NMOS devices
- Key idea: re-use of current
(1/2)W/L
Id
gm1+gm2
gm
Id
M1
Id/2
M1
Id/2
gm1+gm2
M2
(1/2)W/L
Id/2
Id/2
W/L
(1/2)W/L
M2
(1/2)W/L
M1
See A. Karanicolas, “A 2.7 V 900-MHz CMOS LNA and
Mixer”, JSSC, Dec 1996
H.-S. Lee & M.H. Perrott
MIT OCW
Biasing for LNA Employing Current Re-Use
Stage 1
Stage 2
Rbig1
M4
M2
Vout1
Vout2
Ibias
Vrf
Rbig2
Cbig1
M1
Matching
Network
Cbig2
ƒ
ƒ
M3
Cbig3
opamp
Vref
PMOS is biased using a current mirror
NMOS current adjusted to match the PMOS current
H.-S. Lee & M.H. Perrott
MIT OCW
Another Recent Approach
ƒ
Feedback from output to base of transistor provides
another degree of freedom. Negative feedback
improves IIP3
LL
RL
CL
Vout
Q1
α
Rs
Vin
ƒ
Cbypass
α<1
Ldeg
Figure by MIT OCW.
For details, check out:
- Rossi, P. et. Al., “A 2.5 dB NF Direct-Conversion
Receiver Front-End for HiperLan2/IEEE802.11a”, ISSCC
2004, pp. 102-103
H.-S. Lee & M.H. Perrott
MIT OCW
Recent Broadband LNA Approaches
ƒ
ƒ
Can create broadband matching networks using
LC-ladder filter design techniques
CMOS example:
RL
LL
Vbias2
Rs
L1
C1
M3
M2
Vout
Lg
M1
Cp
vin
L2
Vbias
ƒ
Ibias
C2
Ldeg
See Bevilacqua et. al, “An Ultra-Wideband CMOS LNA
for 3.1 to 10.6 GHz Wireless Receivers”, ISSC 2004,
pp. 382-383
H.-S. Lee & M.H. Perrott
MIT OCW
Recent Broadband LNA Approaches (Continued)
ƒ
Bipolar example:
RL
LL
Vbias2
Rs
C3
M3
C2
Vbias3
Q1
C1
vin
Vout
R1
Q2
C4
Ldeg2
L1
Ldeg
Vbias
ƒ
See Ismail et. al., “A 3 to 10 GHz LNA Using a
Wideband LC-ladder Matching Network”, ISSCC 2004,
pp. 384-385
H.-S. Lee & M.H. Perrott
MIT OCW
Gm Boosting for Noise Figure Improvement
ƒ
Gm Boosted CG Amp
ino
ino
ind
ind
-A
ins
Rs
Rs
ins
Figure by MIT OCW.
ƒ
But, the amplifier adds noise and power. How do we boost
the Gm without an amplifier?
See Xiaoyong Li et. al., “Low-Power gm-boosted LNA and VCO
Circuits in 0.18µm CMOS” 2005 ISSCC Digest of Technical Papers
pp. 534-353
H.-S. Lee & M.H. Perrott
MIT OCW
Gm Boosting by a Transformer
Vdd
Ld
C1
Out
M2
C2
M1
In
k
LP
T1
Ls
VB
ƒ
ƒ
Figure by MIT OCW.
Gm is boosted without adding noise by the step-up
transformer
Transformer provides gate and source with voltages 180o out
of phase: effective increase in Vgs
H.-S. Lee & M.H. Perrott
MIT OCW
Revisit Neutralizaton
CN
RL
RL
Cgd
vin
Rs
Vbias
ƒ
CN
Cgd
M1
Rs
M2
-vin
2Ibias
Issues:
Power Consumption
Output swing (additional drop for the tail current)
Differential output
Matching between Cgd and CN
-
H.-S. Lee & M.H. Perrott
MIT OCW
Can We Tune Out Cgd Instead?
VDD
ZLOAD
L
VOUT
CBIG
VIN
M1
Figure by MIT OCW.
ƒ
Conceptually, one can tune out Cgd by a series inductor L. CBIG
is necessary to block DC between input and output.
Inductor value too large
Bottom plate parasitic capacitance of CBIG
-
Source: David J. Cassan , et. al., “A 1-V Transformer-Feedback Low-Noise
Amplifier for 5-GHz Wireless LAN in 0.18 m CMOS” IEEE J. Solid-State
Circuits, vol. SC-23 pp 427-435, Mar. 2003
H.-S. Lee & M.H. Perrott
MIT OCW
Neutralization by Transformer Feedback
VDD
Neutraliztion of Cgd by Cgs if
L22
VOUT
VIN
M1
L11
ƒ
Figure by MIT OCW.
Advantages
No DC drop: can operate at low supply voltages
Power match by inductor degeneration
No additional power consumption
Cgd to Cgs matching is better than Cgd to CN
-
H.-S. Lee & M.H. Perrott
MIT OCW
Differential Implementation
LM1
VIN+
Q1
CM1
L11
VOUT+
M
L22
CTUNE
VDD
CM1
VIN-
LM1
M
L11
Q1
L22
CTUNE
VOUT-
Figure by MIT OCW.
See David J. Cassan , et. al., “A 1-V Transformer-Feedback Low-Noise
Amplifier for 5-GHz Wireless LAN in 0.18 m CMOS” IEEE J. Solid-State
Circuits, vol. SC-23 pp 427-435, Mar. 2003
H.-S. Lee & M.H. Perrott
MIT OCW
Differential Output LNA
I-IF-out
BIAS
LO-IM
RF_in
LO-IP
LO-IM
MIXER_I
LNA
Blasing not shown
MIXER_Q
Q-IF-out
Provides differential output to drive balanced mixers
See D. Sahu et. al. “A 90nm CMOS Single-Chip GPS Receiver
with 5dBm Out-of-Band IIP3 2.0dB NF”, 2005 ISSCC Digest of
Technical Papers, pp308-309
H.-S. Lee & M.H. Perrott
Figure by MIT OCW.
MIT OCW
Adjustable Gain LNA
VDD
G2
G2
...
G2
...
G2
VDD
...
...
Current Steering
Gain Control
VB
LNAIN
VB
On-Chip Transformer
Figure by MIT OCW.
Gain is adjusted by diverting output current in the cascode stage
See H. Darabi, et. al, "A Fully Integrated SoC for 802.11b in 0.18µm
CMOS”, 2005 ISSCC Digest of Technical Papers, pp 96-97.
H.-S. Lee & M.H. Perrott
MIT OCW
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