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Unformatted text preview: ECE 313 Fall 2010  Exam 1 Name: This is a closed book, closed notes exam. No calculators or other electronic devices are needed or allowed. Solve all parts of all five problems using the bluebooks that are provided. For full credit, be sure to: • Show all of your work • Clearly and completely label all graphs, including scales for the axes. You have two hours. Please sign this exam and return it with your bluebooks when you have finished. 1. (20 points) Consider the CT signal x ( t ) = t u ( t ) and the DT signal y n [ ] = δ n + 1 [ ] + 2 δ n [ ] + 3 δ [ n − 2]. (a) Graph x 2 − 2 t ( ) for − 3 ≤ t ≤ 3 . (b) Find the value of x r ( ) x r − 1 ( ) −∞ ∞ ∫ δ r − 2 ( ) dr . (c) Graph y 2 k [ ] k = −∞ n ∑ for − 3 ≤ n ≤ 3 . (d) Graph y k [ ] k = −∞ ∞ ∑ δ n − k + 1 [ ] for − 3 ≤ n ≤ 3 . 2. (15 points) Find the energy in each of the following signals. If energy is infinite, then also find the average power....
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 Fall '08
 MUSCHINSKI
 Digital Signal Processing, LTI system theory, Impulse response, DT LTI, CT LTI

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