2025-L21su09 - 1 1 ECE2025 Summer 2009 Lectures 21 Sampling and Reconstruction(Fourier View Digital Filtering of Analog Signals 2nd pass 20 Jul 09

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Unformatted text preview: 1 7/20/2009 1 ECE2025 Summer 2009 Lectures 21 Sampling and Reconstruction (Fourier View) Digital Filtering of Analog Signals, 2nd pass 20 Jul 09 7/20/2009 3 ANNOUNCEMENTS ¡ HW #9 due July 20-21 (last HW) ¡ Lab #10 July 22-23 ¡ We’ve set aside time in lab for you to fill out the two GaTech course surveys for ECE2025 7/20/2009 4 FINAL ¡ Monday, July 27: 11:30-14:20. ¡ Comprehensive, with extra emphasis on material not covered on first three quizzes . ¡ Closed book, closed notes, except: ¡ One 8.5”X11” crib sheet allowed, handwritten , OK to write on both side ¡ Formula sheet provided (Roughly book tables 8.1, 11.2, and 11.3) ¡ Review Session Sunday July 26, 8 pm, Klaus Room 2447. 7/20/2009 5 Table 1 2 7/20/2009 6 Table 2 7/20/2009 7 Tables 3 and 4 7/20/2009 8 LECTURE OBJECTIVES ¡ Sampling Theorem Revisited ¡ GENERAL: in the FREQUENCY DOMAIN ¡ Fourier transform of sampled signal ¡ Reconstruction from samples ¡ Effective frequency response ¡ Reading: Chap 12, Sections 12-1 and 12-3 ¡ Review of FT properties ¡ Convolution ÅÆ multiplication ¡ Frequency shifting 7/20/2009 9 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 a )) Scaling x ( t ) ∗ h ( t ) ⇔ H ( j ω ) X ( j ω ) 3 7/20/2009 10 Ideal C-to-D Converter • Mathematical Model for A-to-D x [ n ] = x ( nT s ) FOURIER TRANSFORM of x s (t) ???...
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This note was uploaded on 01/24/2010 for the course ECE 2025 taught by Professor Juang during the Spring '08 term at Georgia Institute of Technology.

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2025-L21su09 - 1 1 ECE2025 Summer 2009 Lectures 21 Sampling and Reconstruction(Fourier View Digital Filtering of Analog Signals 2nd pass 20 Jul 09

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