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The spring 2002 final exam for the eecs 145m microcomputer interfacing lab course at the university of california, berkeley. The exam includes various problems on topics such as tri-state buffers, transition voltages, digital filters, fourier frequency convolution theorem, and nyquist sampling theorem.
Typology: Exams
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NAME (please print)
STUDENT (SID) NUMBER
College of Engineering Electrical Engineering and Computer Sciences Berkeley
Total of top 4 Lab Grades
Total of top 4 Question Sections
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. In answering the problems, you are not limited to the particular equipment you used in the laboratory exercises.
Partial credit can only be given if you show your work.
FINAL EXAM GRADE :
1 __________ (30 max) 2 __________ (25 max) 3 __________ (30 max)
4 __________ (15 max) 5 __________ (40 max) 6 __________ (60 max)
TOTAL __________ (200 max)
Problem 1 (total 30 points) Define the following terms (should take 20 words):
1a (5 points) Tri-state buffer
1 b (5 points) Transition voltages of an A/D converter
1 c (5 points) Digital filter
1 d (5 points) Anti-aliasing filter
1 e (5 points) Fourier frequency convolution theorem
1 f (5 points) Nyquist sampling theorem
Problem 3 (30 points) In this course we studied several types of A/D converters:
TR Tracking
SA Successive Approximation
DS Dual Slope or Integrating
FL Flash
HF Half-flash
1B 1-bit (or delta-sigma)
3a (5 points) Which produce their output in a continuous manner?
3 b (5 points) Which require a "start conversion" command?
3 c (5 points) Which can be used at very high rates (> 100 MHz) at moderate resolution (8 bits)?
3 d (5 points) Which can provide high resolution (16 bits) at intermediate rates (<20 kHz)?
3 e (5 points) Which have an accuracy that does not depend on the accuracy of internal resistors?
3 f (5 points) Which require a sample-and-hold amplifier for full accuracy at their maximum conversion rate?
Problem 4 (15 points) You sample exactly 5 cycles of a 15 Hz square wave (after anti-alias filtering) and compute the FFT. The magnitudes of your FFT coefficients are plotted in the figure below. Explain the non- zero values at n = 5, 15, 20, 25, 35, 45, 55, 73, 83, 93, 103, 108, 113, and 123. (You do not need to explain the amplitudes, just why they are non-zero.)
PROBLEM 6 (total 60 points):
You have been chosen to design a microcomputer system for timing the swimming events in the Summer Olympic Games.
10 kHz counter
24
Start Stop
The requirements for your design are:
6a (30 points) Sketch your design, showing and labeling all essential components and lines. (You only need to show two touch plate switches, timing circuits and speakers.)
6 b (30 points) Describe the events (hardware and software) that must take place from the start of the race to after the last swimmer finishes.