Homework 12

# Homework 12 - MEEN 260 Introduction to Engineering...

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MEEN 260 Introduction to Engineering Experimentation Homework 12: Digital Filters Assigned: Thursday, 23 Apr. 2008 Due: Thursday, 30 Apr. 2008, 5:00 pm Learning Objectives: After completing this homework assignment, you should be able to: 1) Design and apply digital filters 2) Identify different digital filter types (recursive, non-recursive, etc.) Homework Problems: Problem 1) Digital Filters Design The following analog signal contains four frequencies, 5, 10, 16, and 25 rad/s and the signal for 0 < t < 20 sec is shown below () ( ) sin 5 0.5sin 10 0.6sin 16 0.25sin 25 43 6 ut t t t t π ππ ⎛⎞ =+ + + + ⎜⎟ ⎝⎠ a) Find the maximum sampling period (minimum sampling frequency) that will not result in aliasing of the given signal. b) Calculate the Nyquist frequency, f nyquist for T s = 0.05s and plot the sampled version of the signal of u(t) . c) Design a 3 rd order Butterworth filter for the digitized signal from c), using Matlab command given in the lecture notes with cut off frequency 2 Hz.

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Homework 12 - MEEN 260 Introduction to Engineering...

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