2025-L22 - ECE-2025 Spring-2004 Lecture 22 Sampling and...

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Unformatted text preview: ECE-2025 Spring-2004 Lecture 22 Sampling and Reconstruction (Fourier View) 5-April-04 4/4/2004 ECE-2025 Fall-03 jMc 2 Info: Web-CT, Lab, HW ¡ Bug in Lab #10 !!! ¡ Change the definition of x(t) in Section 4.3 to be ¡ X(t) = sin(200 π t) ¡ Also, Section 4.2 now has some clarification ¡ CHECK YOUR GRADES !!! ¡ Web-CT is the OFFICIAL gradebook ¡ Quiz #3 will be 9-April (Friday) ¡ Coverage: HW #8, 9, and 10 ¡ Chapters 9, 10, and 11 (Ch 7 on z-Trans on the Final) ¡ Review Session, 8-April, Thurs @ 7:30pm 4/4/2004 ECE-2025 Fall-03 jMc 3 National Championship Game ¡ Talent wins games, but teamwork and intelligence win championships. ¡ Michael Jordan ¡ My responsibility is getting all my players playing for the name on the front of the jersey, not the one on the back. ¡ Author Unknown ¡ Mental toughness is to physical as four is to one. ¡ Bobby Knight ¡ Nobody roots for Goliath. - Wilt Chamberlain Lecture 4/4/2004 ECE-2025 Fall-03 jMc 4 LECTURE OBJECTIVES ¡ Sampling Theorem Revisited ¡ GENERAL: in the FREQUENCY DOMAIN ¡ Fourier transform of sampled signal ¡ Reconstruction from samples ¡ Reading: Chap 12, Section 12-3 ¡ Review of FT properties ¡ Convolution ÅÆ multiplication ¡ Frequency shifting ¡ Review of AM 4/4/2004 ECE-2025 Fall-03 jMc 5 Table of FT Properties x ( t − t d ) ⇔ e − j ω t d X ( j ω ) x ( t ) e j ω t ⇔ X ( j ( ω −ω )) Delay Property Frequency Shifting x ( at ) ⇔ 1 | a | X ( j ( ω...
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This note was uploaded on 09/14/2010 for the course ECE 2025 taught by Professor Juang during the Spring '08 term at Georgia Tech.

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2025-L22 - ECE-2025 Spring-2004 Lecture 22 Sampling and...

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