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DC and phase offsets of poor-man single mosfet RF mixer

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promach

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I am a bit confused on how to arrived at the phase ( φ = (π/2) - tan^(-1) (Rs * Cgs * ωLO ) ) stated in the book ? I am not getting the the first pi/2 factor. Could anyone help ?

K49LrhN.png


https://i.imgur.com/K49LrhN.png


221A0ZD.png


https://i.imgur.com/221A0ZD.png
 

Besides, how do we derive the dc component expression (6.4) ?
 

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