102_1_Review-Final

# 102_1_Review-Final - UCLA DEPARTMENT OF ELECTRICAL...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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 )....
View Full Document

## This note was uploaded on 04/13/2010 for the course EE ee102 taught by Professor Levan during the Spring '09 term at UCLA.

### Page1 / 6

102_1_Review-Final - UCLA DEPARTMENT OF ELECTRICAL...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online