Question

Let the drain current of all FETs in active loaded MOS differential pair is 1 mA. Let VOV1 = 1V, VOV2 = 1.5V, VOV3 = 2.5V and VOV4 = 2V. Find the trans-conductance of the amplifier.

Answer #1

As per the question, we need to calculate the trans-conductance of
an active loaded MOS differential amplifier. Where, the voltage
across the FETs are VOV1 = 1V, VOV2 = 1.5V, VOV3 = 2.5V and VOV4 =
2V, and the drain current of all the FETs is 1 mA. Therefore, the
resultant trans-conductance can be calculated as

gm = gm1 + gm2 + gm3 + gm4 = Id/ VOV1 + Id/ VOV2 + Id/ VOV3 + Id/
VOV4

Inserting the values, we obtain

gm = 2.56 mA/V.

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(a) Find P(X + Y ≤ 1).
(b) Find P(|X −Y|≤ 1/2).
(c) Find the joint cdf F(x,y) of (X,Y ) for all (x,y) ∈R×R.
(d) Find the marginal pdf fX of X. (e) Find the marginal pdf fY
of Y .
(f) Find the conditional pdf f(x|y) of X|Y = y for 0...

1. Let
M=[[58,−8],[364,−50],]M=[[58,−8],[364,−50],]. Find all numbers λλ
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Report the answer as a pair λ1,λ2λ1,λ2, where λ1<λ2λ1<λ2 with
no spaces.

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