# Quiz 4.pdf - University of Illinois at Chicago Department...

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University of Illinois at Chicago Department of Electrical and Computer Engineering ECE 311 Communication Engineering Quiz No.4 10/06/2016 Group Number: Your Name: 1. An LTI system has spectra shown below. - 6 f © © © © © © H H H H H H H ( f ) 80 1 A signal g ( t ) = 3 cos(50 π t ) is applied as the input. Please fi nd the output signal. Solution g ( t ) has frequency 25Hz. By the graph, H ( f ) = 1 1 80 f . So H (25) = 1 25 80 = 55 / 80 = 11 / 16 . So the output signal is 11 16 × 3 cos(50 π t ) = 33 16 cos(50 π t ) .

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University of Illinois at Chicago Department of Electrical and Computer Engineering ECE 311 Communication Engineering Quiz No.4 10/06/2016 Group Number: Your Name: 2. An LTI system has spectra shown below. - - 6 6 f f © © © © © © H H H H H H | H ( f ) | 80 1 P P P P P P P P P P P P H ( f ) π / 2 π / 2 80 A signal g ( t ) = 5 sin(100 π t ) is passed through the system. Please fi nd the output signal. Solution g ( t ) has frequency 50Hz. By the graph, | H ( f ) | = 1 1 80 f, H ( f ) = π / 2 80 f.
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