quiz1 - MIT OpenCourseWare http://ocw.mit.edu 2.161 Signal...

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Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 2.161 Signal Processing: Continuous and Discrete Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING 2.161 Signal Processing- Continuous and Discrete Fall Term, 2008 Quiz #1 October 16, 2008 Notes: The quiz is closed-book, two sheets of notes are allowed. The time allowed is ninety minutes. There are 4 problems, answer them all. Partial credit will be given. Some possibly useful information is given at the back of this quiz. 1 Problem 1: (20 points) A low-pass filter is to be designed from the power frequency response function 1 2 | H ( j ) | = 1 + 4 (a) Determine a stable system transfer function based on this specification. (b) Make a pole-zero plot for the system and determine the filter class (low-pass, etc). (c) What type of design is this (Butterworth, Chebyshev Type I, etc). (d) Transform your filter design to a new filter H 1 ( s ), using the substitution 2 s s 2 + 4 s in H ( s ). (e) How many poles and zeros does H 1 ( s ) have, and what class of filter (low-pass etc) is it?. Problem 2: (20 points) Your advisor (who should remain nameless!) went out and bought you a new lab computer complete with A/D converters that will sample up to 10,000 samples/second. Without consulting you he also went and bought...
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This note was uploaded on 02/27/2012 for the course MECHANICAL 2.161 taught by Professor Derekrowell during the Fall '08 term at MIT.

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quiz1 - MIT OpenCourseWare http://ocw.mit.edu 2.161 Signal...

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