04a Ludwig lec08 destek - i r i r r Γ + Γ-Γ-Γ-= 2 2 ) 1...

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EE3113_L8 1 EE 3113 INTRODUCTION INTO RF CIRCUIT DESIGN Lecture Notes for A-term 1999 LECTURE 8 Prof. R. Ludwig Department of Electrical and Computer Engineering Worcester Polytechnic Institute Worcester, MA 01609 copyright © 1999, R. Ludwig Copyright, 1998 © R. Ludwig
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EE3113_L8 2 From Reflection Coefficient to Load Impedance (Smith Chart) • Reflection coefficient in phasor form L j i r L L e j Z Z Z Z q | | 0 0 0 0 0 0 Γ = Γ + Γ = + - = Γ The load reflection coefficient is identified in the complex domain 0 Γ
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EE3113_L8 3 Normalized impedance i r i r in in j j d d jx r z Z d Z Γ - Γ - Γ + Γ + = Γ - Γ + = + = = 1 1 ) ( 1 ) ( 1 / ) ( 0 i r d j j j e e d L Γ + Γ = Γ = Γ - b q 2 0 | | ) ( 2 2 2 2 ) 1 ( 1
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Unformatted text preview: i r i r r Γ + Γ-Γ-Γ-= 2 2 ) 1 ( 2 i r i x Γ + Γ-Γ = Real part of normalized impedance Imaginary part of normalized impedance EE3113_L8 4 Inversion of complex reflection coefficient (constant normalized resistance) 2 2 2 ) 1 1 ( ) 1 ( + = Γ + +-Γ r r r i r EE3113_L8 5 Inversion of complex reflection coefficient (constant normalized reactance) 2 2 2 ) 1 ( ) 1 ( ) 1 ( x x i r =-Γ +-Γ EE3113_L8 6 Combined display: Smith Chart...
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04a Ludwig lec08 destek - i r i r r Γ + Γ-Γ-Γ-= 2 2 ) 1...

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