Exam Answers

Question 1 .a Sizes: M4,M5 = 4/1; M6 = 20/1, M7 = 40/1. (M3 = 16/1)

1b vx/vi=60, vo/vx = 30, vo/vi=2400 or 70 dB

1c wu=150Mrad/s, wp2=wz=500Mrad/sec, stable

1d 1V to 2.833V

Question 2 2a GE=0.1, f>=20kHz

2b SR_up = 37.5V/usec, SR_down = 62.5 V/usec

Question 3 a. A_DC = 1, A_fc/4 = 1/sqrt(5), A_fc/2 = 1/5, A_fc = 1

3b. plot: Input at 5/4 fc. Should be spikes at 1/4 fc, 3/4 fc, 5/4 fc, 7/4 fc. Spikes should be attenuated by Sin x/x.

3c. 6 steps, only needed 4. vo = 0,-1,-3,-5,-5,-1

Question 4 vo,n = CR/CI v1,n-1 - CR/CI v2,n-1/2

vo(z) = CR/CI z^{-1} v1 =CR/CI z^{-1/2) v2

Question 5 a) vo = -va (1 + sCRb)/sCRa + Vb.

b) find output density So=Si|H(f)|^2. Result Ha(100kHz)=2.025, Hb=1. Si =4kTR.

c) Integrated Noise. Not difficult if you got the transfer function Hb = 1.

d) gain = 1+ zF/zI. Result at 1 kHz, noise is about 636 nV/sqrt(Hz), dropping to 60 nV/sqrt(Hz) at 1 MHz. Corner is at 10.6 kHz.

Question 6 Replication, aliasing, sinx/x. This was straight off the SC lab.