lec5 - Z Z Z Z L L + = Reflection coefficient at the load...

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EE 3113 INTRODUCTION TO RF CIRCUIT DESIGN Lecture Notes for A-term 2003 LECTURE 5 Prof. R. Ludwig Department of Electrical and Computer Engineering Worcester Polytechnic Institute Worcester, MA copyright © 2003, R. Ludwig Copyright, 1998 © R. Ludwig
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EE3113_L5 2 Lossless Transmission Line Model • Line representation ) ( ) ( 0 C j G L j R Z ω + + = Characteristic impedance: Note : R, L, G, C are given per unit length and depend on geometry Lossless implies: R = G = 0!
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EE3113_L5 3 Transmission Line Parameters for different line types 2-wire coax σδ π a 1 ) 2 ( 1 a D ch µ R L G C ) 1 1 ( 2 1 b a + πσδ parallel-plate )) 2 /( ( 1 a D ch πσ )) 2 /( ( 1 a D ch πε w 2 w d d w σ d w ε ) ln( 2 a b ) / ln( 2 a b ) / ln( 2 a b
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EE3113_L5 4 Microstrip line 1 / ), 4 8 ln( 2 / 0 0 0 < + = h W h W W h Z eff ε π µ ] ) / 1 ( 04 . 0 ) / 12 1 [( 2 1 2 1 2 2 / 1 h W W h r r eff + + + + =
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EE3113_L5 5 What is a voltage reflection coefficient?
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Unformatted text preview: Z Z Z Z L L + = Reflection coefficient at the load location ) ( 1 = L Z ) ( 1 = L Z EE3113_L5 6 Standing Waves ) ( ) ( d j d j e e V d V + + = ) 2 / cos( ) sin( 2 ) , ( + = + t d V t d v EE3113_L5 7 Standing wave ratio (SWR) | | 1 | | 1 | | | | | | | | min max min max + = = = I I V V SWR SWR is a measure of mismatch of the load to the line SWR=1 (matched) or SWR (total mismatch) match Open/short Note: Often SWR is also listed as VSWR for voltage standing wave ratio...
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lec5 - Z Z Z Z L L + = Reflection coefficient at the load...

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