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Low Noise Amplifier Design
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Excerpt from Research Paper:
Low Noise Amplifier Design
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aL & bL = incident & reflected wave from the LNA output
in (input reflection coefficient ) = S11 +[ ( S21 . S12 . L) / (1-S22 . L)]
out (output reflection coefficient ) = = S22 +[ ( S12 . S21 . S) / (1-S11 . S)]
Where S = Source reflection coefficient
And L = Load reflection coefficient
The gains defined before can be expressed as follows
Transducer power gain :
[( 1 - | S | ^2) / | 1 S11 . S | ^2] . | S21|^2 . [(1 - | L|^2) / | 1 - out L | ^2 ]
Operating power gain :
[ 1 / (1 | in | ^2)] . | S21|^2 . [(1 - | L|^2) / | 1 S22. L | ^2 ]
Available power gain :
[( 1 - | S | ^2) / | 1 S11 . S | ^2] . | S21|^2 . [ 1 / (1 - | out | ^2 ]
Maximum unilateral transducer power gain:
[ 1 / | 1
or
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