Homework3

# Homework3 - a. x 1 ( t ) = sin(2 t ) + sin( 2 t ) b. x 2 (...

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EE 200 Fall 2008 (Weber) Homework 3 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. Problem 6 in chapter 5. The answer for each section should show what the state response is for all the values of n for n > 0. n Integers + , s ( n ) = something 2. Problem 9 in chapter 5. 3. Problem 14 in chapter 5. 4. A function is periodic with period p if x ( t ) = x ( t + kp ) for integer values of k . For each of the following continuous functions ( x : Reals Reals ), is the function periodic, and if so what is the period?
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Unformatted text preview: a. x 1 ( t ) = sin(2 t ) + sin( 2 t ) b. x 2 ( t ) = sin(2 2 t ) + sin( 2 t ) 5. A continuous-time signal x : Reals Reals is given by x ( t ) = 3 cos ( 1 t ) + 7 sin ( 2 t ) where 1 = 76 and 2 = 190 and t is in seconds. a. Determine the fundamental frequency of x ( t ) and specify the units. b. What is the period of x ( t )? c. Give the amplitudes ( A , A 1 , A 2 , . . . ) and phases ( 1 , 2 , . . . ) for the Fourier series expansion of x ( t ). 1...
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## This note was uploaded on 12/03/2008 for the course EE 200 taught by Professor Zadeh during the Fall '08 term at USC.

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