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Homework6

# Homework6 - EE 200 Fall 2009(Weber Homework 6 At the upper...

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EE 200 – Fall 2009 (Weber) Homework 6 At the upper right corner on page 1 of all homeworks, show: Last name, First name Date EE 200, Homework # Show intermediate steps whenever possible. 1. A continuous-time LTI system has the impulse response h ( t ) = δ ( t ) - 0 . 1 e - 0 . 1 t u ( t ) a. What is the frequency response H ( ) of the system? b. Plot the magnitude squared of the frequency response: | H ( ) | 2 = H ( ) H * ( ) c. At what frequency does the magnitude squared of the frequency response reach its maximum value? At what frequency does it reach 3db below the maximum value? d. For an input of x ( t ) = 10 + 20 cos (0 . 1 t ) + δ ( t - 0 . 2) what is the output? Hint: Use superposition to find y ( t ) by finding the response of each part of x ( t ) the easiest way (impulse response or frequency response). 2. Problem P-10.9 from the textbook. The x ( t ) input to the LTI system is the one with the frequency domain representation in Fig. P-10.9. For each of the five parts of the problem figure out which of the seven H ( ) shown the system must have to create the corresponding y ( t ). The equations describing
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