05-F10_Interstage

05-F10_Interstage - EE 541 Lecture Aid #5 Fall Semester...

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EE 541 Lecture Aid #5 Fall Semester 2010 Interstage Filter Networks Dr. John Choma, Professor Of Electrical Engineering Ming Hsieh Department of Electrical Engineering Powell Hall Of Engineering (PHE) Room #620 University of Southern California University Park; Mail Code: 0271 Los Angeles, California 90089-0271 (213) 740-4692 [Office] [email protected] [E-Mail] www.jcatsc.com [Course Notes]
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EE 541 Lecture Aid #5 Interstage Filter Networks 273 Overview Of Lecture O Impedance Conversion ± Up Converter ± Down Converter ± Pi-Section O Constant Resistance Networks ± Attributes ± Minimal Phase Filters ± Non-Minimal Phase Filters ± All Pass Networks ± Design Example
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EE 541 Lecture Aid #5 Interstage Filter Networks 274 Generalization Of Interstage Filter Problem O System Diagram O 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 Signifies R s < R l O Design Specifications ± Tuned Center Frequency, ω o ± 3-dB Bandwidth Or Equivalently, Effective System Q ± Up/Down Impedance Conversion Factor, K z Interstage Matching Filter + R s R l V s Z (s) in
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EE 541 Lecture Aid #5 Interstage Filter Networks 275 Up Conversion Interstage Filter (UCF) O Circuit Topology O 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 j ω L 1 Y( j ω ) j ω L ω L ω 1 Q ω ⎛⎞ ⎜⎟ +− ⎝⎠ == = ++
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EE 541 Lecture Aid #5 Interstage Filter Networks 276 UCF Circuit Model O At Center Frequency ± Effective Shunt Inductance, L eff ± Effective Shunt Resistance, R eff ± Resonance, ω o ± Impedance Conversion, K z O Model At Frequency ω o () l o l 2 2 lc l o ω 1j Q ω Y( j ω ) ω RR 1 Q ω ⎛⎞ ⎜⎟ ⎝⎠ = ++ ( ) ( ) 2 l lo 22 llc o l Q 1 j ω ) 1Q R R j ω L =+ + 2 l eff 2 l LL Q + = ( ) ( ) 2 eff l l c R1 Q R R + ( ) l o 2 eff l Q 1 ω LC L C == + ( ) eff 2 sc zl ll l R K1 1 Q R = + + R eff L eff Y(j ) l o ω C Z (j ) in o ω
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EE 541 Lecture Aid #5 Interstage Filter Networks 277 UCF Circuit Design Example O Specifications O Calculations ± Quality Factor: ± Inductance: ± Capacitance: O 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 Q1 1 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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05-F10_Interstage - EE 541 Lecture Aid #5 Fall Semester...

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