2025-L11 - Info Lab and HW ECE-2025 Fall-2008 Lab#6(warm-up...

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ECE-2025 Fall-2008 Lecture 11 Linearity, Time-Invariance and Convolution 29-Sept-2008 09/30/2008 ECE-2025 Fall-08 jMc-BHJ 2 Info: Lab and HW ± Lab #6 (warm-up) will start on Tue, 30- Sept ± Lab #5 ± Listening Test of Shepard’s Scale ± Formal Lab Report: will be worth 150 pts ± HW #6 due this week 09/30/2008 ECE-2025 Fall-08 jMc-BHJ 3 READING ASSIGNMENTS ± This Lecture: ± Chapter 5, Sections 5-5 and 5-6 ± Section 5-4 will be covered, but not “in depth” ± Other Reading: ± Recitation: Ch. 5, Sects 5-6, 5-7 & 5-8 ± CONVOLUTION ± Next Lecture: start Chapter 6 09/30/2008 ECE-2025 Fall-08 jMc-BHJ 4 LECTURE OBJECTIVES ± BLOCK DIAGRAM REPRESENTATION ± Components for Hardware ± Connect Simple Filters Together to Build More Complicated Systems LTI SYSTEMS ± GENERAL PROPERTIES of FILTERS ± L INEARITY ± T IME- I NVARIANCE ± ==> CONVOLUTION CONVOLUTION
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09/30/2008 ECE-2025 Fall-08 jMc-BHJ 5 ± IMPULSE RESPONSE, ± FIR case: same as ± CONVOLUTION ± GENERAL: ± GENERAL CLASS of SYSTEMS ± LINEAR and TIME-INVARIANT ± ALL LTI systems have h [ n ] & use convolution OVERVIEW ] [ ] [ ] [ n x n h n y = ] [ n h } { k b 09/30/2008 ECE-2025 Fall-08 jMc-BHJ 6 ± CONCENTRATE on the FILTER (DSP) ± DISCRETE-TIME SIGNALS ± FUNCTIONS of n , the “time index” ± INPUT x [ n ] ± OUTPUT y [ n ] DIGITAL FILTERING FILTER D-to-A A-to-D x(t) y(t) y[n] x[n] 09/30/2008 ECE-2025 Fall-08 jMc-BHJ 7 BUILDING BLOCKS ± BUILD UP COMPLICATED FILTERS ± FROM SIMPLE MODULES ± Ex: FILTER MODULE MIGHT BE 3-pt FIR FILTER y[n] x[n] FILTER FILTER + + INPUT OUTPUT 09/30/2008 ECE-2025
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This note was uploaded on 09/17/2009 for the course ECE 2025 taught by Professor Juang during the Spring '08 term at Georgia Tech.

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2025-L11 - Info Lab and HW ECE-2025 Fall-2008 Lab#6(warm-up...

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