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S11 , S21 and Gain relationship ??

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Can we write this for a certain block like LNA ?

Yes, there is a relationship between Gain and the Scattering Parameters of an amplifier.

IF yes, where is it coming from ?

Where is what coming from? There are derivations in Pozar's Microwave Engineering, Chapter 11 (3rd Ed.).
 

It can easily derived from ADS functions
 

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