49711 - EE 541 Class Notes#04 INTERSTAGE MATCHING...

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INTERSTAGE MATCHING INTERSTAGE MATCHING FILTERS FILTERS Prof. John Choma University of Southern California Department of Electrical Engineering-Electrophysics University Park: MC: 0271 Los Angeles, California 90089-0271 213-740-4692 (USC ± ) 213-740-7581 (FAX ± ) 213-740-7874 (USC ± ) [email protected] Fall 2004 Semester EE 541: Class Notes #04 EE 541: Class Notes #04
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University of Southern California EE 541: Choma 128 Overview Of Lecture Overview Of Lecture z Impedance Conversion Up Converter Down Converter Pi-Section z Constant Resistance Networks Attributes Minimal Phase Filters Non-Minimal Phase Filters All Pass Networks Design Example
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University of Southern California EE 541: Choma 129 Interstage Matching Filter + R s R l V s Z (s) in z System Diagram z Design Issues Desire Z in (j ω o ) = R s Maximum Power Transfer From Signal Source To Filter Input Port Generally Accomplished At Only A Tuned Center Frequency, ω o Generally Accomplished For Only A Reasonably Narrow Passband Filter Is Usually Lossless Topology In RF Communication Systems Convert R l At Output Port -To- R s At Input Port Up Converter Implies R s > R l Down Converter Implies R s < R l z Design Specifications Tuned Center Frequency, ω o 3-dB Bandwidth Or Equivalently, Effective System Q Up/Down Impedance Conversion Factor, K z Interstage Generalization Interstage Generalization
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University of Southern California EE 541: Choma 130 z Circuit Topology z Admittance, Y l (s) Radial Center Frequency Is ω o Load Q Admittance Function Implication Is Shunt RL Circuit At Tuned Center Frequency + R s R l R c L V s V o Z (s) in Y(s) l C o l l c ω L Q R R = + ( ) ( ) ( ) l o l c l 2 2 2 l c 2 l c l c l o ω 1 jQ ω R R j ω L 1 Y (j ω ) R R j ω L R R ω L ω R R 1 Q ω + = = = + + + + + + Up Conversion Filter (UCF) Up Conversion Filter (UCF)
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University of Southern California EE 541: Choma 131 z At Center Frequency Effective Shunt Inductance, L eff Effective Shunt Resistance, R eff Resonance, ω o Impedance Conversion, K z z Model @ ω o ( ) l o l 2 2 l c l o ω 1 jQ ω Y (j ω ) ω R R 1 Q ω = + + ( ) ( ) ( ) 2 l l o 2 2 l l c o l Q 1 Y (j ω ) 1 Q R R j ω 1 Q L = + + + + 2 l eff 2 l 1 Q L L Q + = ( ) ( ) 2 eff l l c R 1 Q R R = + + ( ) l o 2 eff l Q 1 ω L C 1 Q LC = = + ( ) eff 2 s c z l l l l R R R K 1 1 Q R R R = = = + + R eff L eff Y (j ) l o ω C Z (j ) in o ω UCF Model UCF Model
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University of Southern California EE 541: Choma 132 z Specifications z Calculations Quality Factor: Inductance: Capacitance: z Result (ohms, pF, nH) Load Resistance, R l : 20 ohms Source Resistance, R s : 75 ohms Tuned Matching Frequency, f o : 2.7 GHz Estimated Inductor Resistance, R c : 3 ohms s l z l c l c l R R K Q 1 1 1.504 1 R R 1 R R = = = + + ( ) l l c o Q L R R ω 2.04 nH = + = + 75 20 3 2.04 V s V o Z (s) in 1.18 ( ) 2 l 2 2 l o Q C 1 Q ω 1.
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