Average resistance in a sampler

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yefj

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Hello, i Have here a sampler and i need to calculate its evarage resistance of the sampler.
The circuit of the sampler is shown bellow. how did they get the Rsw expression?
Thanks.

 

Replace Vdd by Vdd-Vin in the expression and some algebra later you will get the expression you are looking for.
 

It also depends on duty cycle of the sampling signal..
 

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