# ps3 - MIT OpenCourseWare http/ocw.mit.edu 2.161 Signal...

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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 .

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING 2.161 Signal Processing - Continuous and Discrete Fall Term 2008 Problem Set 3: Analog Filter design Assigned: Sept. 25, 2008 Due: Oct. 2, 2008 Problem 1: Consider the following two filter specifications: Filter A Filter B Passband 0-10 kHz 0-10 kHz Minimum power gain at Ω c 0.5 0.5 Start of stop-band 15 kHz 11.75 kHz Maximum power gain at Ω r 0.1 0.1 (a) What is the order of filter A if a Butterworth design is used. (b) What is the order of filter A if a Chebyshev design is used. (c) What is the order of filter B if a Butterworth design is used. (d) What is the order of filter B if a Chebyshev design is used. (e) Plot the power gain function H ( j Ω) 2 of the Butterworth filter A using linear scales. | | (Use Matlab - don’t do it by hand.) Use the plot to show that the filter meets the specifications.
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