49711

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 ² Maximum Power Transfer From Signal Source To Filter Input Port ² Generally Accomplished At Only A Tuned Center Frequency, ω o ² Generally Accomplished For Only A Reasonably Narrow Passband ² Filter Is Usually Lossless Topology In RF Communication Systems ± Convert R l At Output Port -To- R s At Input Port ² Up Converter Implies R s > R l ² 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 lc ω L Q RR = + () l o l 2 2 2 2 l o ω 1j Q ω RR j ω L 1 Y( j ω ) ω L ω L ω RR1Q 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 lc l o ω 1j Q ω Y( j ω ) ω RR1Q ω    = ++ ( ) ( ) 2 l lo 22 llc o l Q 1 j ω ) 1Q R R j ω 1Q L =+ + 2 l eff 2 l 1Q LL Q + = ( ) ( ) 2 eff l l c R1 Q R R + ( ) l o 2 eff l Q 1 ω LC C == + ( ) eff 2 sc zl ll l R RR K1 1 Q 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 sl z l cl RR K Q11 1 . 5 0 4 1RR =− = ++ () l lc o Q LR R ω 2.04 nH   =+ =  + 75 20 3 2.04 V s V o Z (s) in 1.18 ( ) 2 l 22 lo Q C 1Q ω 1.
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49711 - EE 541: Class Notes #04 INTERSTAGE MATCHING...

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