2025-L22 - ECE-2025 Spring-2009 Info: Lab & HW Keep track...

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ECE-2025 Spring-2009 Lecture 22 Fourier Transform Properties 6-April-09 fo: Lab & HW Info: Lab & HW ± Keep track of your grades py g ± T-square is the OFFICIAL gradebook ± uiz #3 will be 17- pril (Friday) Q p( y ) ± Coverage: HW #10, 11 and 12 ± Chapters 9, 10, and 11 ± eview Session 16- pril Thurs @ 6:00 pm Review Session, 16 April, Thurs @ 6:00 pm ± Final Exam: 27-April (Monday), at 2:50pm ± HW #11 due this week ab #9 then Lab #11 report 4/4/2009 ECE-2025 Spring-09 jMc 2 ± Lab #9, then Lab #11 report ndergrad Research Undergrad Research mmer ± Summer ± Knowledge Mining & ITS SP Hardware with LabVIEW ± DSP Hardware with LabVIEW ± Fall ± VIP: Knowledge Mining Team ± Skills: Programming, Self-Learning ± ontact Dr McClellan send resume 4/4/2009 ECE-2025 Spring-09 jMc 3 Contact Dr. McClellan, send resume trategy for using the FT Strategy for using the FT e elop a set of no n o rier transform pairs ± Develop a set of known Fourier transform pairs. ± Develop a set of “theorems” or properties of the Fourier transform. ± Develop skill in formulating the problem in ither e time omain or the frequency either the time-domain or the frequency- domain, whichever leads to the simplest olution 4/4/2009 ECE-2025 Spring-09 jMc 4 solution . Lecture
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EADING ASSIGNMENTS READING ASSIGNMENTS his Lecture: ± This Lecture: ± Chapter 11, Sects. 11-5 to 11-9 ± Tables in Section 11-9 ± Other Reading: ± Recitation: Chapter 11, Sects. 11-1 to 11-9 ± Next Lectures: Chapter 12 (Applications) 4/4/2009 ECE-2025 Fall-03 jMc 5 ECTURE OBJECTIVES LECTURE OBJECTIVES he Fourier transform ± The Fourier transform = dt e t x j X t j ω ) ( ) ( ± More examples of Fourier transform pairs ± Basic properties of Fourier transforms ± Convolution property ultiplication roperty 4/4/2009 ECE-2025 Fall-03 jMc 6 ± Multiplication property ourier Transform Fourier Transform x ( t ) = 1 2 π X ( j ) e j t d Fourier Synthesis ( Inverse Transform) −∞ ourier Analysis X ( j ) = x ( t ) −∞ e j t dt Fourier Analysis ( Forward Transform)
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This note was uploaded on 01/27/2011 for the course ECE 2025 taught by Professor Juang during the Spring '08 term at Georgia Institute of Technology.

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2025-L22 - ECE-2025 Spring-2009 Info: Lab & HW Keep track...

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