ece 145b / 218b, notes set 10: oscillators, part 2.€¦ · oscillators, part 2. mark rodwell...
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class notes, M. Rodwell, copyrighted 2012
ECE 145B / 218B, notes set 10: Oscillators, Part 2.
Mark Rodwell
University of California, Santa Barbara
rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262 fax
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
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
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
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
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
class notes, M. Rodwell, copyrighted 2012
Series-Line-Tuned Oscillator
class notes, M. Rodwell, copyrighted 2012
Shunt-Line-Tuned Oscillator
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
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ijosc
oscosc
oscosc
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faafiaa
ijosc
aaaa
aaaa
ija
desire. weany value to
and , ,
set can wenetwork,
feedback theadjustingBy
2211 fBBB
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
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YYYYY
VYYVI
V
V
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YY
I
I
afaa
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ijoscijosc
oscoscoscoscin
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inin
a
faafaa
ain jBGjBG
jBjBGjBjBGjBGY
2222,
21,21,12,12,
1111,
possible. as negative as make toand , 0 want We inin GB
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
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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*
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
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
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
class notes, M. Rodwell, copyrighted 2012
Design Example (4): Negative G given Buffer
loading.output the
by suppressedsomewhat
been has econductanc
negative that theNote
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
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
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
class notes, M. Rodwell, copyrighted 2012
2nd Example : Common-Collector Colpitts
admittancePort SimulationTransient
class notes, M. Rodwell, copyrighted 2012
3nd Example : The Real Design
layout GHz 300
class notes, M. Rodwell, copyrighted 2012
3nd Example : The Real Design
class notes, M. Rodwell, copyrighted 2012
3nd Example : The Real Design
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