Help for Smith V3.10 - Fritz Dellsperger
Help for Smith V3.10 - Fritz Dellsperger
Help for Smith V3.10 - Fritz Dellsperger
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G<br />
p<br />
�<br />
2 2<br />
S21<br />
�1 ��L<br />
�<br />
�1��1 �1�S22�<br />
2 2<br />
L<br />
�1��L �<br />
2<br />
S21<br />
2<br />
2 2<br />
22 L 11 L<br />
�<br />
1�S<br />
� � S ���<br />
�1��L �<br />
2<br />
S21<br />
2<br />
1<br />
S11<br />
���L<br />
1�S22�L<br />
2<br />
1<br />
�<br />
� �<br />
� � � �S22� � �<br />
� �<br />
2<br />
L<br />
2 2<br />
S21<br />
�1��L �<br />
� � � �<br />
�<br />
2 2 2 2 *<br />
1� S11 � �L S22 � � �2Re�L S22 S �<br />
�<br />
� � 11�<br />
��S11S22 � S12S21 �<br />
Constant Operating Power Gain circles:<br />
R<br />
C<br />
The Operating Power Gain Circle is the locus of all load impedances <strong>for</strong> constant operating<br />
power gain. The input is conjugately matched to the resulting input reflection coefficient.<br />
p<br />
p<br />
�<br />
2 2<br />
12 21 p 12 21 p<br />
1�2KS S g � S S g<br />
2 2<br />
� 22 �<br />
1�g<br />
S � �<br />
p<br />
* � 22 � 11��<br />
gpS S *<br />
�<br />
1�g<br />
S � �<br />
p<br />
2 2<br />
� 22 �<br />
g<br />
p<br />
G G<br />
� �<br />
G S<br />
p p<br />
2<br />
TZo<br />
21<br />
Radius load plane<br />
Center load plane<br />
Gain reduction <strong>for</strong> circle<br />
Gp: Desired gain<br />
Maximum Available Gain MAG and Maximum Stable Gain MSG<br />
Maximum Available Gain:<br />
2 � 1�<br />
S<br />
� � � � � ( K � 1)<br />
21<br />
MAG Gp G<br />
max T K K<br />
max S12<br />
2 2 2<br />
S11 S22<br />
1��<br />
� �<br />
K � �1<br />
2 � S �<br />
S<br />
12 21<br />
59
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