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Unformatted text preview: UCLA DEPARTMENT OF ELECTRICAL ENGINEERING Spring 2008 Your Name (LAST, Middle, First):————————————————– EE102: SYSTEMS & SIGNALS SAMPLE FINAL EXAMINATION 1 (Question 1) Consider a linear system with impulse response h ( t ) = e- t (cos( t )- sin( t )) U ( t ) . (a) Find the transfer function H ( s ). (b) Compute the input x ( t ) which generates the output y ( t ) = e- t cos( t- 1) U ( t- 1) . (c) Find H ( jω ). Is H ( jω ) = H ( s ) | s = jω ? Why? (d) The input x 2 ( t ) = 100 + cos(2 t ) is now applied to the system. What is the average (DC) value of the output? [Think before you start writing the equations.] (e) For the input x 2 ( t ) of the previous question, what is the mean square error of the output when it is approximated up to the third harmonic? [Again, think.] (h) What is the output y 3 ( t ) when the input is x 3 ( t ) = cos( √ 2 t ) + U ( t )? (Question 2) The impulse response of a LTI system is h ( t ) = 2 sin(2 t ) πt [cos(6 t )] 2 (a) Find H ( jω )....
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This note was uploaded on 04/13/2010 for the course EE ee102 taught by Professor Levan during the Spring '09 term at UCLA.
- Spring '09