uCox$/2($uA$/$V$2)11050$

Vth $($V$)0\mathrm{.}4-0\mathrm{.}4$

Lambda $($V$-1)0\mathrm{.}20\mathrm{.}2$

$($for L$=0\mathrm{.}5$um$)$

Vdd $=3\mathrm{.}3$V

Vss $=0$V

CL $=15$pF

Cc $=5$pF

All L$=0\mathrm{.}5$um

All Veff $=0\mathrm{.}2$V

All devices are saturated.

Phi $=0\mathrm{.}8$V $($built in potential of pn junction$)$

Cj $=10-3$ F$/$m $2(0$ bias capacitance of pn junction for both nmos and pmos$)$

Cgdo $=10-10$ F$/$m $($for both nmos and pmos$)$

D $=0\mathrm{.}5$um

The DC voltage at the output is $2\mathrm{.}5$V

You can assume that CL and Cc are much larger than the other capacitances.

$2$

Noise

a$)$ What is the mean square current noise for M$7$ from its own drain to source?

b$)$ What is the mean square noise voltage for M$7$ referred to the input of the op$-$amp?

c$)$ Let$$s say you are trying to build a receiver on a submarine for an $82$Hz signal. Your

receiver has noise spectral density given by the following equation. Assume you want to

make a measurement every $2$ second.

$$

$$

$$

$$

$$

What is the input referred rms noise if you your amplifier has an intrinsic bandwidth of

$1$kHz$?1$kHz is a $$brickwall$$ bandwidth.

d$)$ How much mean square noise voltage does M$5$ contribute to the output? Hint: If the