17 - 1 ECSE334 – Introduction to Microelectronics ECSE...

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Unformatted text preview: 1 ECSE334 – Introduction to Microelectronics ECSE 334 Introduction to Microelectronics Roni Khazaka Lecture #17 ECSE334 – Introduction to Microelectronics 2 Khazaka - 2008 Series-Series Topology: Ideal Case s v + − f v Voltage Mixing (series) Current Sampling (Series) i Av o R i v + − i R + − o i β + − o i o i o i if R of R 2 ECSE334 – Introduction to Microelectronics 3 Khazaka - 2008 Series-Series Topology: Ideal Case No Loading Effects No Loading Effects s v + − f v i Av o R i v + − i R + − o i β + − o i o i o i if R of R ECSE334 – Introduction to Microelectronics 4 Khazaka - 2008 Input Resistance β A A v i A s o f + = = 1 i i i i i o i i if v v A v R v i v R R β β + = + = i s i i i s i s if v v R R v v i v R = = = ( ) β A R R i if + = 1 s v + − f v i Av o R i v + − i R + − o i β + − o i o i o i if R of R i i 3 ECSE334 – Introduction to Microelectronics 5 Khazaka - 2008 Output Resistance o o of i v R = ( ) β A R R o of + = 1 o o o i o o o i A R v Av R v i β − = + = s v + − f v i Av o R i v + − i R + − o i β + − o i o i o i if R of R i i o v o o o o o i R A i R v β + = ( ) o o o i A R v β + = 1 ECSE334 – Introduction to Microelectronics 6 Khazaka - 2008 Series-Series Topology with Loading Effect s v + − f v i v A ′ ′ o R ′ i v ′ + − i R ′ + − 2 12 i z + − 2 v s R 11 z + − 1 v 22 z 1 21 i z 1 i 2 i L R + − o i o i o i + − 4 ECSE334 – Introduction to Microelectronics 7 Khazaka - 2008 Z-Parameters + − 2 12 i z + − 2 v 11 z + − 1 v 1 21 i z 1 i 2 i Port1 Port2 ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 2 1 22 21 12 11 2 1 i i z z z z v v 2 1 12 1 = = i i v z 1 1 11 2 = = i i v z 1 2 21 2 = = i i v z 2 2 22 1 = = i i v z + − 22 z ECSE334 – Introduction to Microelectronics 8 Khazaka - 2008 Series-Series Topology with Loading Effect s v + − f v i v A ′ ′ o R ′ i v ′ + − i R ′ + − 2 12 i z + − 2 v s R 11 z + − 1 v 22 z 1 21 i z 1 i 2 i L R o v + − + − o i o i o i + − Results in Loading Effect Results in Loading Effect Unilateral Amplifier Feedback Network 5 ECSE334 – Introduction to Microelectronics 9 Khazaka - 2008 Series-Series Topology with Loading Effect s v + − f v i v A ′ ′ o R ′ i v ′ + − i R ′ + − 2 12 i z + − 2 v s R 11 z + − 1 v 22 z 1 21 i z 1 i 2 i L R + − o i o i o i + − Unilateral Amplifier Feedback Network << 1 21 i z Ignore ECSE334 – Introduction to Microelectronics 10 Khazaka - 2008 Series-Series Topology with Loading Effect Unilateral Amplifier Feedback Network s v + − f v i v A ′ ′ o R ′ i v ′ + − i R ′ + − 2 12 i z + − 2 v s R 11 z + − 1 v 22 z 1 i 2 i L R + − o i o i o i 6 ECSE334 – Introduction to Microelectronics 11 Khazaka - 2008 Series-Series Topology with Loading Effect Identical to ideal case with: 11 z R R R i s i + ′ + = 22 z R R R L o o + + ′ = A R z R R z R R R A o L o i s i ′ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ′ + + ′...
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17 - 1 ECSE334 – Introduction to Microelectronics ECSE...

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