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The instructions and problems for the midterm 2 exam in the microcomputer interfacing laboratory (eecs145m) course at the university of california, berkeley. The exam covers topics such as fft analysis, anti-aliasing filters, and d/a converter testing.
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College of Engineering Electrical Engineering and Computer Sciences Department EECS 145M: Microcomputer Interfacing Laboratory Spring Midterm #2 (Closed book- equation sheet provided- calculators OK) Full credit can only be given if you show your work. Wednesday, April 13, 2005 Problem 1 (15 points) You sample exactly 5 cycles of a 15 Hz symmetric 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.) Frequency index 16 0 10 20 30 40 50 60 70 80 90 0 32 48 64 80 96 112 128
PROBLEM 2 (15 points) Design a Butterworth anti-aliasing low pass filter that meets the following requirements:
PROBLEM 4 (35 points) Design a system for the assembly line testing of D/A converters. The design requirements are as follows:
4b. (15 points) List the steps necessary to determine the maximum absolute error, the maximum linearity error, and the maximum differential linearity error for each 12-bit D/A converter. 4c. (5 points) With what accuracy (in units of 1 LSB) can this system measure the quantities in part 4b?