6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 25-1
Lecture 25 - Frequency Response of Amplifiers (III)
Other Amplifier Stages
December 8, 2005
Contents:
1. Frequency response of common-drain amplifier 2. Cascode amplifier
Reading assignment:
Howe and Sodini, Ch. 9, §9.3.3; Ch. 10, §§10.5, 10.7
Announcement:
Final exam: December 19, 1:30-4:30 PM, duPont; open book, calculator required; entire subject under examina- tion but emphasis on lectures #19-26. 6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 25-2 Key questions
• Do all amplifier stages suffer from the Miller effect? • Is there something unique about the common drain stage in terms of frequency response? • Can we make a transconductance amplifier with a large bandwidth? 6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 25-3 1. Frequency response of common-drain am- plifier
VDD
signal source
RS
signal vs + load iSUP R vOUT L
VGG -
VSS
Features:
• voltage gain 1 • high input resistance • low output resistance •⇒good voltage buffer 6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 25-4 High-frequency small-signal model:
Cgd G D +
vgs Cgs gmvgs gmbvbs ro S - - Cdb RS vbs Csb + vs + - B + r oc RL vout -
vbs=0
Cgs
+ vgs - + RS v + Cgd gmvgs Cdb ro//roc//RL=RL' out vs - -
gmRL ≤ Av,LF = 1 1+g mRL 6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 25-5 Compute bandwidth by open-circuit time constant tech- nique:
1. shut-off all independent sources,
2. compute Thevenin resistance RTi seen by each Ci with all other C’s open,
3. compute open-circuit time constant for Ci as
τi = RTiCi 4. conservative estimate of bandwidth: 1 ωH Στi
2 First, short vs:
Cgs
+ vgs - +
RS Cgd gmvgs Cdb RL' vout
- 6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 25-6
2 Time constant associated with Cgs:
v i + t 1 t 2
+ + vgs -
RS gmvgs RL' vout
- node 1:
vt + vout it − =0 RS node 2:
− − vout gmvgs it =0 RL also
vgs = vt
Solve for vout in 1 and plug into 2: 6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 25-7
vt RS + RL RTgs = = it 1+g mR L
Time constant:
RS + RL τgs = Cgs 1+g mR L
2 Time constant associated with Cgd:
+ vgs - + it + RS vt gmvgs RL' vout - -
RTgd = RS
τgd = CgdRS 6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 25-8
2 Time constant associated with Cdb:
+ vgs - it + RS gmvgs RL' vt -
it + gm RL' vt -
1 R L RTdb = //R L = gm 1+g mRL
RL τdb = Cdb 1+g mRL
Notice:
RTdb = Rout//RL 6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 25-9 2 Bandwidth: