# VLSI Final exam of 2 hours on 7 feb

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### Question Description

The exam will be 2 hours duration and most probably 3 to 4 questions in it. Also sample final exam is attached to guage the type of questions that will be asked.

### Unformatted Attachment Preview

İSTANBUL TEKNİK ÜNİVERSİTESİ Faculty of Electrical and Electronics Engineering Assistant Prof. Tufan C. Karalar EHB413E Midterm Exam Name: ID Number: Q1: Q2: Q3: Q4: Total: Fall 2015 Question 1.(20 pts) For the amplifier stage given below, a) Calculate the output impedance b) Calculate the small signal transconductance GM. c) Calculate the small signal gain vout/vin. Using gm, ro, etc. VDD# RD# Vb# Vout# Vin# M1# Question 2 (30 pts) For the circuit given below, (W/L)1 = (W/L)2 and (W/L)3 = (W/L)4. a) What is IOUT in terms of IB and other device parameters b) What’s the minimum Vo voltage that will still keep M4 and M2 both in saturation? (In terms of gm, ro, IB Vdsat, Vth etc.) c) What is the RB resistor value to allow this minimum Vo value? IB# RB# VO# IOUT# M3# M4# M1# M2# Question 3 (20 pts) Please calculate the Av = Vout/(Vi+- Vi-)of this amplifier for the following cases.. a) R1 = ∞ b) R1 = 1/gm3 VDD# M3# M4# Vout# Vi+# M1# R1# M2# ISS# Vi)# Question 4 (30 pts) For the diff pair below differential gain is defined as follows Av = (Vo+ - Vo-) / (Vi+ - Vi-) a. For low frequency please calculate Av. b. For C1=C2 please calculate the Pole frequency associated with the output. c. Draw the bode plot of the differential gain. d. Fro C1 << C2, redraw the Bode Plot of the differential gain VDD# C1# RD# Vo+# Vi+# C2# RD# Vo+# M1# M2# ISS# Vi+# İSTANBUL TEKNİK ÜNİVERSİTESİ Faculty of Electrical and Electronics Engineering Assistant Prof. Tufan C. Karalar Sample EHB413E Final Exam Name: ID Number: Q1: Q2: Q3: Total: Question 1.(40 pts) For the circuit given below, a) What is the functionality of this circuit b) What are the min and max values of Vin to keep all the devices in saturation c) What is the bias voltage on VX d) What are the pole and zero frequencies. e) Bode Plot of Vo/Vin, in the Bode plot annotate, low frequency gain, first and second poles, unity gain frequency Calculate all results using parameters such as gm, ro, Cc etc. M4# M3# X# M1# M2# Vin# CC# Vout# CL# M5# Question 2 (30 pts) For the circuit given below, a) What is the Bias voltage level at Vx b) Find the transfer function Vout/Vin c) What type of feedback network is this d) What is the loop gain e) What is the output impedance at low frequency? M3# gm=0.3m,## ro=50k# X# gm=1m,## M1# ro=15k# M2# gm=1.5m,## ro=10k# M5# M4# CC=1pF# Vout# CL=2pF# Vin# RO=1k# R1=10k# R2#=#12k# Question 3 (30 pts) Please calculate the Av = Vout/(Vi+- Vi-)of this amplifier for the following cases.. a) Determine the poles frequencies, for C1=C2=0 b) Stabilize the circuit by only adding C1. What should be the value of C1 for 450 phase margin? c) Stabilize the circuit by using only C2.. What is the C2 value for 600 phase margin? Vin# gm=1mS,# ro=20k# C2# Vout# Gm=2mS,# ro=10k# C1# M5# Cpar=100fF# CL#=#1pF# ...
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