practiceExam2 - Practice Exam 2 BMEP-410 Spring 2008 1...

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Practice Exam 2 BMEP-410 Spring 2008 1. Write the matlab code to produce this 100x400 image 2. An image is filtered with The result (output from the filter h 1 ) is filtered by Find a single filter that will give the same result as the two-step filtering. 3. Write the frequency response of the system described by the transfer function H(z) = b 0 + b 1 z 1 1 + a 1 z 1 4. Write the difference equation for the system in question 3. 5. Two systems are described by the transfer functions H 1 (z) = 1 2 z 1 1 + 2 z 1 H 2 (z) = 2 z 1 2 + z 1 Find the impulse responses for each of the two filters. 6. For the two systems in question 5, what is the major difference in the characteristics of the two systems? 7. x = [0 0 0 3 0 0 0 0 3 3 0 0 0 3 3 3 3 3 3] Filter the signal using h = [1 1 1]/3, and show the filter output. 8. x = [0 0 0 3 0 0 0 0 3 3 0 0 0 3 3 3 3 3 3] Filter the signal using a median filter of length L=3. 9. Write the non-zero u,v matrix values that produce the x,y matrices: a = 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100
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