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HW2 ECE2100 Autumn 2014Solutions
Problems encircled in red were graded
Lessons Covered: Lesson33 ‐ Lesson37
HW should be turned in by Monday, Sept. 22, before 4:30pm
Solve all the problems. All problems will not be graded, only a selection of HW problems will be graded.
Show all relevant steps. Don’t just write down the answers.
Late HWs will not be accepted. HW with lowest grade will be dropped. Lecture Students: turn in your HW in class. Recitation students: turn in your HW at the ECE Office Front Desk. HWs turned‐in anywhere else will not be accepted.
Show your work on these pages, attach additional pages if necessary.
Be sure to organize the pages in order and staple them all together, otherwise you will lose one point
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Fill out the following section. You will lose an additional point if you fail to provide these details
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Your Last Name_____________________________ Your First Name__________________________
Lecture Student ____________ or Recitation Student__________ (check one)1.If Recitation then fill out the following2.Name of recitation instruction______________________ Date/time of recitation______________
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Problem 1: Determine the z‐transforms of the following signals of finite duration:
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Problem 2: Determine the z‐transforms of the following signals of infinite duration (use geometric series to evaluate infinite sums):
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Problem 3: Determine the z‐transforms of y[n], given that x[n] is equal to:
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Problem 4: Determine the impulse response h[n] and System Function H(z) of systems described by the following difference equations :
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Problem 5: Determine the poles and zeros of the systems in Problem 4. Plot the poles and zeros on the z plane.
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Problem 6: Given the system functions below, determine the corresponding impulse response and difference equation.
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Problem 7: Determine the following convolution sum by using z‐transforms:
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Problem 8: Determine the difference equation corresponding to the total cascaded system:
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Problem 9: Evaluate the infinite sum:
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Problem 10:What are the inverse z‐transforms of the following:
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