Admittance Transformation (Smith Chart)ekim/e194rfs01/lec10ek.pdfEEE194RF_L10 5 Re-interpretation...
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EEE194RF_L10 2 Admittance Transformation (Smith Chart) • impedance representation in Smith Chart 0 Γ ) ( 1 ) ( 1 d d jx r z in Γ - Γ = = • admittance representation in Smith Chart ) ( 1 ) ( 1 ) ( 1 ) ( 1 1 0 d e d e d d z Y Y y j j in in in Γ - Γ ≡ Γ Γ - = = = - - p p 180 degree phase shift
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Transcript of Admittance Transformation (Smith Chart)ekim/e194rfs01/lec10ek.pdfEEE194RF_L10 5 Re-interpretation...
EEE194RF_L10 2
Admittance Transformation(Smith Chart)
• impedance representation in Smith Chart
0Γ
)(1)(1
d
djxrzin Γ−
Γ+=+=
• admittance representation in Smith Chart
)(1
)(1
)(1
)(11
0 de
de
d
d
zY
Yy
j
j
in
inin Γ−
Γ+≡
Γ+Γ−
=== −
−
π
π
180 degreephase shift
EEE194RF_L10 3
Transformation21
21
11 jyjz inin −=→+=
EEE194RF_L10 4
Alternative: re-interpretation
Instead of rotating the reflection coefficient about180 degree, we keep the location fixed and rotate theentire Smith Chart by 180 degree.
EEE194RF_L10 5
Re-interpretation leads to ZY-Smith Chart
The Smith Chart inits original form iskept for impedancedisplay,
but a second SmithChart is rotated by180 degree foradmittance display.