1. - + + -

2. Resistive feedback: b=R1/(R1+R2)
A(w)*w = A(0)*|P1| = GBW w
|P1|
=BW
Buffer: b=1
Resistive feedback: b=R1/(R1+R2)

3. Remember: phase margin is defined on the loop TF
Nyquist plot
Bode plot

4. -45 PM
-135

5. Under damped
Critically dampled
Over damped
For the same resources, under damped system is faster and therefore is desired.

6. Overshoot = (peak – final)/final *100%
For under damped system that does not have too much overshoot: PM in deg + O.S.  70.
For example: 55 deg PM will have about 15% O.S.
Damping ratio z  PM / 100
Settling time  - ln(tolerance)/(wtz)
For single pole: Settling time  - ln(tolerance)/t

7. vs vb cc VDD M9 M12 M11 Iref M1 M2 vo vin- vin+= voQ = vo CL M3 M4 M13

8. DC gain: Av(0)={gm1*(ro6,8||ro2,4)} * {gm10*(ro10||ro11)
=Av1(0) * Av2(0)
p1 = -1/{(Av2*Cc + Cgs10 +…)*(ro6,8||ro2,4)}
 -1/{Av2*Cc*(ro6,8||ro2,4)}
BW = |p1|
GBW = Av(0)*BW  gm1/Cc
p2  - gm10/{CL+Cc+Cdb10+Cdb11}
z1  gm10/Cc

9. Gm2/(CL+Cc)
wp1
wp2
wz1