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Main points of this exam paper are: Fourier Convolution Theorem, Integral Fourier Transform, Periodic Waveform, Discrete Frequencies, Principal Components, Interconnecting Lines, Converter
Typology: Exams
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page 1 S. Derenzo NAME (please print) STUDENT (SID) NUMBER
College of Engineering Electrical Engineering and Computer Sciences
24a _________________ 24b _________________ Total of top 4 Long Lab Grades Total of top 4 Short Lab Grades Lab Participation Mid-Term # Mid-Term # Final Exam Total Course Grade _______________ (400 max) _______________ (100 max) _______________ (100 max) _______________ (100 max) _______________ (100 max) _______________ (200 max) _______________ (1000 max)
Answer the questions on the following pages completely, but as concisely as possible. The exam is to be taken closed book. Use the reverse side of the exam sheets if you need more space. Calculators are OK. Partial credit can only be given if you show your work. FINAL EXAM GRADE : 1 __________ (15 max) 2 __________ (40 max) 3 __________ (45 max) 4 __________ (45 max) 5 __________ (30 max) 6 __________ (25 max) TOTAL __________ (200 max)
PROBLEM 1 (15 points) 1.1 (5 points) State the Fourier convolution theorem 1.2 (10 points) Use the Fourier convolution theorem to show that the Integral Fourier Transform of a periodic waveform contains only discrete frequencies. PROBLEM 2 (total 40 points) 2.1 (15 points) Draw the block diagram for the 12-bit half-flash A/D converter, showing and labeling all principal components and interconnecting lines. ( Note: this converter has two internal flash A/D converters and one internal R-2R D/A converter, and these can be drawn as single boxes).
Problem 3 (45 points) Design a computer-controlled system for testing eight 12 - bit A/D converters. You are provided with the following:
3.2 (10 points) List the steps your program must do to measure the first transition voltage V(0,1) of the first A/D converter (pseudocode is OK, so long as the logic is clear). 3.3 (10 points) How would you determine the maximum linearity error? 3.4 (10 points) With what accuracy could this system measure the quantities in parts 3.2 and 3.3 in units of 1 LSB of the A/D?
4.2 (5 points) At what frequency f 1 does the Butterworth filter have gain = 0.99? 4.3 (5 points) At what frequency f 2 does the Butterworth filter have gain = 0.001? 4.4 (5 points) What is the minimum sampling frequency that would prevent electromagnetic interference at f 2 aliasing to f 1? 4.5 (15 points) List the steps (hardware and software) to simultaneously sample (within a few ns) the two analog voltages, sequentially read them into computer memory, and repeat the entire process at the sampling rate of 100 kHz.
PROBLEM 5 (total 30 points) 5.1 (8 points) Compare wireless data interfacing technologies WiFi, Bluetooth and ZigBee in aspects of number of nodes, data throughput rate and battery life. Standard Wi-Fi™ 802.11b Bluetooth™ 802.15. ZigBee® 802.15. Battery Life (long/medium/short) Network Size, # of nodes (big /medium/ small) Data rate (high/medium/low) 5.2 (7 points) Briefly describe situations where each of the three technologies would best be used. 5.3 (15 points) Use the most suitable technology to design a wireless sensor network that allows a wireless base station to read data from 256 wireless end nodes once per second. Each end node has a sensor circuit. These circuits continuously measure physical quantities such as time, temperature, voltage, etc. Assume that
PROBLEM 6 (total 25 points) Parts of the body, such as an arm or a leg, weakened by the effects of the stroke, can regain some functionality by repeatedly stretching them (called physical therapy). You are asked to design a real time controller for a robotic physical therapy device. Assume that
6. 2 (10 points) List the program steps needed to perform the physical therapy motions. 6. 3 (5 points) Describe the potential risk to the patient and how you would reduce the risk.