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10FMT3 - Midterm#3 of ECE301 Prof Wang's section 89pm...

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Midterm #3 of ECE301, Prof. Wang’s section 8–9pm Wednesday, November 17, 2010, WTHR 172. 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. Neither calculators nor help sheets are allowed. Name: Student ID: E-mail: Signature:
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Question 1: [25%, Work-out question] 1. [10%, Outcome 4] Consider the following DT signal: x 1 [ n ] = ( ( e j ) n if 0 n 100 0 otherwise . (1) Find the expression of X 1 ( e ), the Fourier transform of x 1 [ n ]. 2. [15%, Outcome 4] Consider the following DT signal: x 2 [ n ] = j sin 100 π 3 n . (2) Find the expression of X 2 ( e ), the Fourier transform of x 2 [ n ]. Plot X 2 ( e ) for the range - π < ω < π .
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