Sol_HW7 - 1 Solution of EML 4312 HW7 Chenda Liao I PROBLEM 1 1(b makes more sense since the the low pass filter should keep the amplitude of

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Unformatted text preview: 1 Solution of EML 4312 HW7 Chenda Liao I. PROBLEM 1 1) (b) makes more sense, since the the low pass filter should keep the amplitude of signals with low frequency close to 1 , and reduce the amplitude of the signals with high frequency. 2) (b) is poor design, because the magnitude is large than 1 around ω = 100 . See the Figure 1. 3) The output of the filter can be determined by using >> F = tf(20000,[1 285.7 20000]); >> filtered_data = lsim(F,sensor_data,time); in MATLAB and plotting filtered data against time . Figure 2 shows the result. II. PROBLEM 2 • One possible design is F ( s ) = 10000 s 2 + 202 s + 10000 . See the Figure 3 to verify that it meets the requirements. III. PROBLEM 3 • A gain of K = 2 . 2 achieves a rise time t r = 0 . 1587 and peak overshoot M p = 0 . 0997 , which satisfies the design sepcs. See the Figure 4. In general,if we increase K , we will increase the overshoot and decrease the rise time. For this problem, we are lucky that both of the requirements are satisfied.we are lucky that both of the requirements are satisfied....
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This note was uploaded on 06/06/2011 for the course EML 4312 taught by Professor Dixon during the Fall '07 term at University of Florida.

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Sol_HW7 - 1 Solution of EML 4312 HW7 Chenda Liao I PROBLEM 1 1(b makes more sense since the the low pass filter should keep the amplitude of

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