lec8 - r + = 2 2 ) 1 ( 2 i r i x + = Real part of...

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EE3113_L8 1 EE 3113 INTRODUCTION TO RF CIRCUIT DESIGN Lecture Notes for A-term 2003 LECTURE 8 Prof. R. Ludwig Department of Electrical and Computer Engineering Worcester Polytechnic Institute Worcester, MA 01609 copyright © 2003, 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 θ | | 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 β θ 2 0 | | ) ( 2 2 2 2 ) 1 ( 1 i r i r
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Unformatted text preview: r + = 2 2 ) 1 ( 2 i r i x + = 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 ( + = + + 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 = + EE3113_L8 6 Combined display: Smith Chart...
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This note was uploaded on 01/31/2012 for the course EE 4002 taught by Professor Scalzo during the Fall '06 term at LSU.

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lec8 - r + = 2 2 ) 1 ( 2 i r i x + = Real part of...

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