ps7 - ECE 351, Systems I Mar. 9, 2009 OSU, Winter 2009...

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Unformatted text preview: ECE 351, Systems I Mar. 9, 2009 OSU, Winter 2009 Problem Set 7 - not to be turned in Reading Assignments: Read Kamen & Heck, Sections 4.1, 4.2, 5.5. Problem 1 Consider the LTI system with the frequency response H ( j ) depicted in the following magnitude and phase plots. Note that both the positive and the negative frequency components of H ( j ) are plotted.-15-14-13-12-11-10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 |H(j )|-15-14-13-12-11-10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15-4-3-2-1 1 2 3 4 H(j ) (a) Is the frequency response best characterized as low-pass, high-pass or band-pass? Bandpass. (b) Find the steady state output for input x ( t ) = 2 + cos(7 t ) (show your work). One can observe that H (0) = 1 and H ( j 7) = H (- j 7) = 1 e j . Thus, the DC component of the input is completely filtered out and cos(7 t ) is passed with unit gain. Therefore y ( t ) = cos(7 t )....
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ps7 - ECE 351, Systems I Mar. 9, 2009 OSU, Winter 2009...

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