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ECE308-HW5-F10 - Illinois Institute of Technology ECE...

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Illinois Institute of Technology ECE Department ECE308, Signals and Systems (Fall 2010) Problem Set 5 Issued: Tuesday, October 5, 2010 Due: Beginning of class, Thursday, October 12, 2010 Reading Assignment: from your textbook read chapters one, two, and three and glance through chapter four. Problems: 1- For the function ) ( t f shown below: Find the equation describing this signal. Sketch ) 2 4 ( ) ( t f t g = , by combining the basic operations of time shifting, time reversal, and time scaling in any order you desire. 2- Determine which of the following signals are periodic, and if so, find their period. a) 1 t j e π b) ( ) ( ) n t u e n n t −∞ = 2 2 c) ( ) ( ) t 3 sin d) ( ) ( ) t 3 sin e) ( ) ( ) ( ) t t 3 sin sin + f) ( ) ( ) t 3 sin g) ( ) 2 3 3 sin
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