ece 145b / 218b, notes set 10: oscillators, part 2.€¦ · oscillators, part 2. mark rodwell...
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![Page 1: ECE 145B / 218B, notes set 10: Oscillators, Part 2.€¦ · Oscillators, Part 2. Mark Rodwell University of California, Santa Barbara rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262](https://reader034.vdocuments.site/reader034/viewer/2022051810/6017940df2cd422fef649b72/html5/thumbnails/1.jpg)
class notes, M. Rodwell, copyrighted 2012
ECE 145B / 218B, notes set 10: Oscillators, Part 2.
Mark Rodwell
University of California, Santa Barbara
[email protected] 805-893-3244, 805-893-3262 fax
![Page 2: ECE 145B / 218B, notes set 10: Oscillators, Part 2.€¦ · Oscillators, Part 2. Mark Rodwell University of California, Santa Barbara rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262](https://reader034.vdocuments.site/reader034/viewer/2022051810/6017940df2cd422fef649b72/html5/thumbnails/2.jpg)
class notes, M. Rodwell, copyrighted 2012
Two-Port Oscillator Theory
s.answer thi y willport theor-Two
? wellsoscillatorour desigingnot weareOr
?oxymoron an n"oscillatio offrequency maximum" Is
!at oscillatenot willsoscillator standardMany
topology?particular apick reason toany thereIs
hoc.-ad seems topology oscillator ofSelection
?Why
maxf
![Page 3: ECE 145B / 218B, notes set 10: Oscillators, Part 2.€¦ · Oscillators, Part 2. Mark Rodwell University of California, Santa Barbara rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262](https://reader034.vdocuments.site/reader034/viewer/2022051810/6017940df2cd422fef649b72/html5/thumbnails/3.jpg)
class notes, M. Rodwell, copyrighted 2012
Two-Port Oscillator Theory
port.-2 passive a
ith feedback w add ..and
etc) r,(transisto
port-2 activean Take
lossless beclearly shouldport -2 passive The
soscillator transistor-1 possible all analyzing are We
general. completely isfeedback The
![Page 4: ECE 145B / 218B, notes set 10: Oscillators, Part 2.€¦ · Oscillators, Part 2. Mark Rodwell University of California, Santa Barbara rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262](https://reader034.vdocuments.site/reader034/viewer/2022051810/6017940df2cd422fef649b72/html5/thumbnails/4.jpg)
class notes, M. Rodwell, copyrighted 2012
Two-Port Oscillator Theory
reciprocalnot possibly ; :network Active
.reciprocal is this; :network Passive
,
,
ija
ijp
Y
Y
etc.
emitter,-common tobase-common
from oscillator s transformThis
3.or 2, 1, nodesat placed becan
connection ground that theNote
![Page 5: ECE 145B / 218B, notes set 10: Oscillators, Part 2.€¦ · Oscillators, Part 2. Mark Rodwell University of California, Santa Barbara rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262](https://reader034.vdocuments.site/reader034/viewer/2022051810/6017940df2cd422fef649b72/html5/thumbnails/5.jpg)
class notes, M. Rodwell, copyrighted 2012
The feedback network
.equivalent arebut
used, becan networkscomplex More
network Delta a as
known also isnetwork Pi The
network. Pi aor T a
either of composed becan It
.or either by drepresente
becan network feedback The
,, ijpijp ZY
imaginary.purely are sadmittance
and impedancesfeedback that theNote
![Page 6: ECE 145B / 218B, notes set 10: Oscillators, Part 2.€¦ · Oscillators, Part 2. Mark Rodwell University of California, Santa Barbara rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262](https://reader034.vdocuments.site/reader034/viewer/2022051810/6017940df2cd422fef649b72/html5/thumbnails/6.jpg)
class notes, M. Rodwell, copyrighted 2012
The feedback network
12,22,
12,11,
12,
,
12,22,
12,11,
12,
,
ppo
ppi
pf
fof
ffi
pij
ppo
ppi
pf
fof
ffi
pij
ZZZ
ZZZ
ZZ
ZZZ
ZZZZ
YYY
YYY
YY
YYY
YYYY
imaginary.purely are sadmittance
and impedancesfeedback that theNote
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class notes, M. Rodwell, copyrighted 2012
Series-Line-Tuned Oscillator
![Page 8: ECE 145B / 218B, notes set 10: Oscillators, Part 2.€¦ · Oscillators, Part 2. Mark Rodwell University of California, Santa Barbara rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262](https://reader034.vdocuments.site/reader034/viewer/2022051810/6017940df2cd422fef649b72/html5/thumbnails/8.jpg)
class notes, M. Rodwell, copyrighted 2012
Shunt-Line-Tuned Oscillator
![Page 9: ECE 145B / 218B, notes set 10: Oscillators, Part 2.€¦ · Oscillators, Part 2. Mark Rodwell University of California, Santa Barbara rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262](https://reader034.vdocuments.site/reader034/viewer/2022051810/6017940df2cd422fef649b72/html5/thumbnails/9.jpg)
class notes, M. Rodwell, copyrighted 2012
The Oscillator
2222,21,21,
12,12,1111,
,
22,21,
12,11,
22,22,21,21,
12,12,11,11,
,
22,22,21,21,
12,12,11,11,
,
as this write:Simplify
Oscillator
device Active
jBGjBjBG
jBjBGjBGY
YY
YY
jBjBjBGjBjBG
jBjBGjBjBjBGY
jBGjBG
jBGjBGY
afaa
faaa
ijosc
oscosc
oscosc
foaafaa
faafiaa
ijosc
aaaa
aaaa
ija
desire. weany value to
and , ,
set can wenetwork,
feedback theadjustingBy
2211 fBBB
![Page 10: ECE 145B / 218B, notes set 10: Oscillators, Part 2.€¦ · Oscillators, Part 2. Mark Rodwell University of California, Santa Barbara rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262](https://reader034.vdocuments.site/reader034/viewer/2022051810/6017940df2cd422fef649b72/html5/thumbnails/10.jpg)
class notes, M. Rodwell, copyrighted 2012
Oscillator Input Admittance
2222,21,21,
12,12,1111,
,,
22,21,12,11,
122,21,22
2
1
22,21,
12,11,
2
1
)/(
)/( 0
jBGjBjBG
jBjBGjBGYY
YYYYY
VYYVI
V
V
YY
YY
I
I
afaa
faaa
ijoscijosc
oscoscoscoscin
oscosc
oscosc
oscosc
inin
a
faafaa
ain jBGjBG
jBjBGjBjBGjBGY
2222,
21,21,12,12,
1111,
possible. as negative as make toand , 0 want We inin GB
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class notes, M. Rodwell, copyrighted 2012
Input Conductance
2
22
2
22,
2221,12,12,21,
2
22
2
22,
22,21,12,21,12,
11,
)()(
))((
BG
BBBGBBG
BG
GBBBBGGGG
a
faafaa
a
afafaaa
ain
2
22
2
22,
2221,12,21,12,22,21,12,12,21,
11
2
22
2
22,
2221,12,12,21,22,21,12,21,12,
11,
2
22
2
22,
2222,21,12,12,21,21,12,21,12,
1111,
2222,
21,21,12,12,
1111,
))(()()(
)()())((
)()())((
)()(
BG
BBBBBGGGBBGBBGBB
BG
BBBGBBGGBBBBGGGG
BG
jBGBBGBBGjBBBBGGjBGY
jBG
BBjGBBjGjBGY
a
fafaaaafaafaa
in
a
faafaaafafaaa
ain
a
afaafaafafaaa
ain
a
faafaa
ain
slides.next on theshown is This
e.conductancinput negative themaximize omanually t tunedbe alsocan and
.* thesederive toablebeen veI' ely,Unfortunat
. negative large aobtain toand and pick should We
22
22
BB
GBB
f
inf
1958. June 139,-133 pp. 5,-CT Vol. Theory,Circuit on nsTransactio IRE
Networks" ActivePort -Twoin y Instabilit" Boothroyd, R. A. Page, D.F.
in given elementsfeedback Optimum*
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class notes, M. Rodwell, copyrighted 2012
Design Example (1): Topology, Negative G Tuning.
HBT GHz 800~with
Colpitts Base-Common GHz 620
maxf
loading. its removing buffer, disconnect tolargeset initially
collectorsr transisto toconnectedport Test
:collectors at the econductanc
negative maximum produce to tunedare and 21 CC
![Page 13: ECE 145B / 218B, notes set 10: Oscillators, Part 2.€¦ · Oscillators, Part 2. Mark Rodwell University of California, Santa Barbara rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262](https://reader034.vdocuments.site/reader034/viewer/2022051810/6017940df2cd422fef649b72/html5/thumbnails/13.jpg)
class notes, M. Rodwell, copyrighted 2012
Design Example (2): Resonator Admittance
. zerofor tuned
been has inductanceresonator The
. negative maximum
for been tuned have and
.collectors at the
observed admittancePort
11
11
21
B
G
CC
![Page 14: ECE 145B / 218B, notes set 10: Oscillators, Part 2.€¦ · Oscillators, Part 2. Mark Rodwell University of California, Santa Barbara rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262](https://reader034.vdocuments.site/reader034/viewer/2022051810/6017940df2cd422fef649b72/html5/thumbnails/14.jpg)
class notes, M. Rodwell, copyrighted 2012
Design Example (3): Connection of Buffer connected. isbuffer small; now is L
core. oscillator
on buffer of loading reduces
ratiodown -stepinductor 1:3
tuned-re bemust elementsfeedback The
![Page 15: ECE 145B / 218B, notes set 10: Oscillators, Part 2.€¦ · Oscillators, Part 2. Mark Rodwell University of California, Santa Barbara rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262](https://reader034.vdocuments.site/reader034/viewer/2022051810/6017940df2cd422fef649b72/html5/thumbnails/15.jpg)
class notes, M. Rodwell, copyrighted 2012
Design Example (4): Negative G given Buffer
loading.output the
by suppressedsomewhat
been has econductanc
negative that theNote
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class notes, M. Rodwell, copyrighted 2012
Design Example (5): Transient Simulation
simulated. is
circuit theandresonator
theinto injected is pulse
current A)10(~ small a
:simulationTransient
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class notes, M. Rodwell, copyrighted 2012
Design Example (5): Transient Simulation
ps. 90at starts
axis time that theNote
here.shown not is
noscillatio of up-Build
simulation
loadline TransistorCI
CEV
![Page 18: ECE 145B / 218B, notes set 10: Oscillators, Part 2.€¦ · Oscillators, Part 2. Mark Rodwell University of California, Santa Barbara rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262](https://reader034.vdocuments.site/reader034/viewer/2022051810/6017940df2cd422fef649b72/html5/thumbnails/18.jpg)
class notes, M. Rodwell, copyrighted 2012
2nd Example : Common-Collector Colpitts
buffer.output base-common with Colpittscollector -Common
bufferoutput base
-commonby oscillator of
loading reducesCapacitor
networkfeedback
inductorresonator
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class notes, M. Rodwell, copyrighted 2012
2nd Example : Common-Collector Colpitts
admittancePort SimulationTransient
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class notes, M. Rodwell, copyrighted 2012
3nd Example : The Real Design
layout GHz 300
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class notes, M. Rodwell, copyrighted 2012
3nd Example : The Real Design
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class notes, M. Rodwell, copyrighted 2012
3nd Example : The Real Design