55:141 Advanced Circuit Techniques Two-Port Theory
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1 55:4 Adanced Crcut Technques Two-Port Theory Materal: Lecture Notes A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde
2 What Are Two-Ports? Basc dea: replace a complex lnear crcut wth a smple equalent model y y y + y + Concept smlar to replacng a crcut wth ts Theenn/Norton equalent. Why s ths useful? -Port parameters are gen on data sheets because they are easy to measure. -Port theory unfes feedback amplfer theory. A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde
3 Example (from n3903 Datasheet) h ffff h oooo h h rrrr A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 3
4 Example (from n3903 Datasheet) h FFFF dc ββ A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 4
5 Notatonal Conentons A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 5
6 z-parameters A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 6
7 z-parameters Termnatons for z- parameters Termnatons for zz and zz zz 00 zz 00 Termnatons for zz and zz zz 00 zz 00 A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 7
8 y-parameters y-parameters are also catted the admttance parameters. y y y + y + y-parameter model A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 8
9 y-parameters + y y + y y y y 0 y y 0 A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 9
10 y-parameters + y y + y y + - y 0 0K y 0 0K y 0K + - y 0K 0 y 0K y y 5K 0 A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 0
11 h-parameters Model Ths crcut could be arbtrarly complex h + h h + h h + h h + h h h 0 0 h h 0 0 One can determne model parameters through analyss More common determne parameters expermentally A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde
12 h-parameter Model for CE NPN Lnear Small Sgnal + h h h + h Specal notaton for CE BJT h + be e b h re ce h + c fe b h oe ce A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde
13 h-parameter and Hybrd-ππ Model Equalence h-parameter h + be e b h re ce h + h c fe b oe ce Equalence Hybrd ππ g r π g m m βv I r π I V CQ T T CQ β h r e b + r π r µ h fe β h re r r π µ h oe + β + r µ r o A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 3
14 4 Equalent -Port Networks Voltage Amplfer Input: Voltage Output: Voltage Current Amplfer Input: Current Output: Current A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 4
15 4 Equalent -Port Networks Transconductance Amplfer Input: Voltage Output: Current Transresstance Amplfer Input: Current Output: Voltage A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 5
16 Ideal Basc Feedback Confguratons Voltage Amplfer Current Amplfer Transconductance Amplfer (oltage n-current out) Transresstance Amplfer (current n-oltage out) A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 6
17 Ideal Seres-Shunt Feedback Voltage Amplfer Two-port network Implct Assumptons Made h h h + h + Input sgnal s transmtted through amplfer and not through β network: h 0 β network does not load amplfer: neglect h and h. h of the feedback network s the same as β A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 7
18 y-parameters Rested + y y + y y y y 0 y y 0 A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 8
19 y-parameters Rested + y y + y y + - y 0 0K y 0 0K y 0K + - y 0K 0 y 0K y y 5K 0 A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 9
20 Shunt-Shunt Feedback: y-parameters y of the feedback network s the same as β Input sgnal s transmtted through amplfer and not through β network: h 0 β network does not load amplfer: neglect y and y A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 0
21 Ideal Basc Feedback Confguratons h-parameters Voltage Amplfer Current Amplfer y-parameters Transconductance Amplfer (oltage n-current out) Transresstance Amplfer (current n-oltage out) A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde
22 How to Account For Loadng? Step : Replace feedback network wth y-parameter model Step : Assume no feed-forward through β network: y 0 Step 3: The feedback transfer functon s β y Step 3: Turn off feedback y 0 Step 4: Compute gan, nput- and output resstances: merge all resstances at a port Step 5: Scale alues by (+ βa) as approprate to fnd closed-loop alues Step 6: Unmerge resstances A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde
23 Dscrete Transstor Crcut Current-n, oltage-out Transresstance A Z Output oltage and R generates a feedback current that reduces current flowng nto transstor base Feedback reduces nput mpedance β Shunt-Shunt Feedback g R F y-parameters A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 3
24 How to Account For Loadng? Step : Replace feedback network wth y-parameter model Step : Assume no feed-forward through β network: y 0 Step 3: The feedback transfer functon s β y Step 3: Turn off feedback y 0 Step 4: Compute gan, nput- and output resstances: merge all resstances at a port Step 5: Scale alues by (+ βa) as approprate to fnd closed-loop alues Step 6: Unmerge resstances A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 4
25 Dscrete Transstor Crcut Current-n, oltage-out Transresstance A Z Output oltage and R generate a feedback current that reduces current flowng nto transstor base Feedback reduces nput mpedance β Shunt-Shunt Feedback g R F y-parameters A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 5
26 Dscrete Transstor Crcut A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 6
27 Dscrete Transstor Crcut y y y + y + A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 7
28 3.5K 3.3K /50K /50K A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 8
29 R f A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 9
30 Shunt-shunt feedback Transform source to a current source Notce dfference between R f and R n A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 30
31 A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 3
32 A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 3
33 A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 33
34 A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde 34
55:141 Advanced Circuit Techniques Two-Port Theory
55:4 Adanced Crcut Technques Two-Port Theory Materal: Lecture Notes A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 205 Two-Port Theory, Slde Two-Port Networks Note, the BJT s all are hghly
Two Port Characterizations
lectronc Crcuts Two Port Characterzatons Contents Input and output resstances Two port networks Models Prof. C.K. Tse: -port networks Impedances and loadng effects Voltage amplfers R s R out smaller the
55:041 Electronic Circuits
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55:041 Electronic Circuits
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