2025-L22 - ECE-2025 Spring-2004 Info Web-CT Lab HW Bug in...

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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
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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 0 t X ( j ( ω ω 0 )) Delay Property Frequency Shifting x ( at ) 1 | a | X ( j ( ω a )) Scaling x ( t ) h ( t ) H ( j ω ) X ( j ω ) 4/4/2004 ECE-2025
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