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Unformatted text preview: ECE 210/211 Analog Signal Processing Fall 2006 University of Illinois Basar, Kudeki, Mitofsky Exam 3 Thursday, November 16, 2006 7:008:15 PM Name : Solutions in blue Section : ( circle one ) 9 AM 10 AM 1 PM Please clearly print your name and circle your section in the boxes above. This is a closed book exam. Calculators are not allowed. You may use one page of notes (both sides). Please show all your work. Backs of pages may be used for scratch work if necessary. All answers should include units wherever appropriate. Good luck! Problem 1 Problem 2 Problem 3 Problem 4 Total Score 1 Problem 1 (25 points): a) (8 pts) The signals f ( t ) and p ( t ) are mixed to produce y ( t ) . Fourier Transforms F ( ω ) and Y ( ω ) are purely real and are as shown. Determine p ( t ) and P ( ω ) . ω 4 ω  Y ( ω )  6 77 3 11113  F ( ω )  77 × f ( t ) p ( t ) y ( t ) p ( t ) = 3 cos(4 t ) P ( ω ) = 3 π ( δ ( ω 4) + δ ( ω + 4)) b) (8 pts) A linear time invariant system with input f ( t ) has output y ( t ) = 3 f ( t 2) 2 f ( t + 3) + 3 f ( t + 4) . Find h ( t ) . h ( t ) = 3 δ ( t 2) 2 δ ( t +3)+3 δ ( t +4) c) (9 pts) Is the system with the zero state response shown below f ( t ) y ( t ) = t +1∞  f ( τ )  dτ Circle your answer.Circle your answer....
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 Spring '08
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 Digital Signal Processing, Signal Processing, pts, LTI system theory

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