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by: Rosie Zieme

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# LinearSystemsI EE321

Rosie Zieme
WSU
GPA 3.74

Staff

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COURSE
PROF.
Staff
TYPE
Study Guide
PAGES
1
WORDS
KARMA
50 ?

## Popular in Electrical Engineering

This 1 page Study Guide was uploaded by Rosie Zieme on Thursday October 29, 2015. The Study Guide belongs to EE321 at Wright State University taught by Staff in Fall. Since its upload, it has received 46 views. For similar materials see /class/231093/ee321-wright-state-university in Electrical Engineering at Wright State University.

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Date Created: 10/29/15
EE321 Fourier Transform Sample Problems Summer 2005 Instructor Kefu Xue PhD Instructions You are permitted to use a selfprepared studyeguide limited to two 8 X 11 page both sides Show all the intermediate steps for credits 1 Given a 200MHz TTL 5 V computer clock 50 duty cycle signal vt as shown in following gure a nd its exponential Fourier series representation and sketch the magnitude and phase spectrum up to its 5th harmonic frequencies b nd the partial power of the signal up to 5th harmonic frequencies and calculate the percentage of the partial power out of the total average power of the signal c Write down the expression using the signal components up to 5th harmonic frequencies Find the error energy of the approximation and nd the percentage of error out of the total average power of the signal 2 For a periodic signal ft 2 4cos20739rt 7 2 sin60739rt icos80739rt nd all the exponential Fourier series coefficients Cn s Hint using Fourier series recognition 3 Show that if the following pairs of periodic signals 1t and ft are orthogonal or not 1t ejk dot and ft 577 th where 71 7E k 4 Find the Fourier transform and inverse Fourier transform show your steps of derivations a Given the Fourier transform pairs e tut 4gt n1 Table 41l nd Fourier transform of 1 i ft 35 3tut 7 2 using time shift property ii 1t ft cos4t using frequency shift property b Given the Fourier transform pairs rect1 4gt Tsin Table 4117 nd inverse Fourier transform of T Yw rect3 g9quot using duality symmetry property And sketch functions yt and Yw 5 Given the following sets of exponential Fourier coefficients of real signals nd the signal expression in time domain and plot the signals in Matlab we 107T radsec 00 1 02 72105 1 j

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