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# LabExam - ECE220 LABTEST Fall 2007 Instructions:You have...

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1 ECE220 LABTEST Fall 2007 Instructions:You have one hour and 40 minutes to complete the test. You can not use books, notes or calculators. Do not talk to anyone else during the test. The only application on your desk should be MATLAB. Name:_________________________ Unity ID:_______________________ Question 1 2 3 4 Points 25 25 20 30 Score

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2 I. Complex numbers(25 Points) 1. Let /9 2.75 j ze p - = and 1.2 3 3.62 wj =- . Use Matlab to compute 9002.5 2 4.01 j zw e z - + in both Cartesian and exponential formats. l MATLAB script: (4 points) l Cartesian format: (2 points) l Exponential format:(2 points) 2. Solve 4 46 zj (5 Points) l Solutions for z: 3. Plot the magnitude and phase of the function 2 /50 1 ( ) cos ( /1000) 1 0.9 jw H ww e = + for w in the range [0,200]. Sketch the plots. (6 Points) l MATLAB script:
3 l Figure: 0 20 40 60 80 100 120 140 160 180 200 0 2 4 6 8 10 Frequency Magnitude 0 40 60 80 100 120 160 200 -2 -1 0 1 2 Frequency Phase 4. Use the compass command to plot the roots of the equation 6 241 z = (6 Points) l MATLAB script: l Roots:

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4 II. Matrix Operation (25 points) Consider the following matrices: 123 2 54 3 61 A - ²³ =- -- Ll , 213 310 254 B = , 1 2 3 b Let T A denote the transpose of A.
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LabExam - ECE220 LABTEST Fall 2007 Instructions:You have...

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