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10FMT1 - Midterm#1 of ECE301 Prof Wang's section...

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Midterm #1 of ECE301, Prof. Wang’s section 6:30-7:30pm Wednesday, September 8, 2010, EE 170, 1. Please make sure that it is your name printed on the exam booklet. Enter your student ID number, e-mail address, and signature in the space provided on this page, NOW! 2. This is a closed book exam. 3. This exam contains multiple choice questions and work-out questions. For multiple choice questions, there is no need to justify your answers. You have one hour to complete it. The students are suggested not spending too much time on a single question, and working on those that you know how to solve. 4. There are 10 pages in the exam booklet. Use the back of each page for rough work. 5. Neither calculators nor help sheets are allowed. Name: Student ID: E-mail: Signature:
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Question 1: [10%, Work-out question, Outcome 4] x [ n ] is 1 if - 200 n 100 and is x [ n ] = 0 otherwise. Compute the expression of X n = -∞ x [ n ] e - j n 3 . Use the following geometric formula to simplify your answer: M X k =1 ar k = ar (1 - r M ) 1 - r for any r 6 = 1.
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Question 2:
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