Obtain the expression of the noise figure for this circuit

Thread Starter

asdasd12e12

Joined Nov 24, 2021
48
Here is the circuit:

1.PNG

Here is the solution (taken from the book RF microelectronics by Behzad Razavi):

1.PNG


My attempt:

First i tried to find the gain expression for this circuit, i noticed that M2 is in diode configuration so in the small signal model M2 is equivalent to a resistor (= 1/gm2).

I would say everything is ok here as i got the same gain as the solution.

1.PNG


Now for the total noise at the output:

1.PNG

The noise i got at the output by the contribuition of IdM1 is not the same as the solution.

In the solution it's Id^2 * gm2 while i got Id^2 * 1/gm2 . Also in the solution there's a term somewhat related to the Vm1,Rs noise i computed but instead it has a id^2/gm1 factor. I dont know where that came from.

What am i doing wrong here?
 
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