2025-L12 - ECE-2025 Spring-2004 Info: Web-CT, Lab, HW Lab...

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ECE-2025 Spring-2004 Lecture 12 Frequency Response of FIR 20-Feb-04 2/19/2004 ECE-2025 Spring-04 jMc 2 Info: Web-CT, Lab, HW ± Lab #6: FIR Filtering of Images ± Interpolation for Digital Cameras ± Prob Set #6 due next week ± Quiz #2 on 5-March (Friday) ± Coverage: HW #4, #5, #6, and #7 ± Chapters 3(FourierSeries), 4, 5, and 6 Lecture 2/19/2004 ECE-2025 Spring-04 jMc 3 READING ASSIGNMENTS ± This Lecture: ± Chapter 6, Sections 6-1, 6-2, 6-3, 6-4, & 6-5 ± Other Reading: ± Recitation: Chapter 6 ± FREQUENCY RESPONSE EXAMPLES ± Next Lecture: Chap. 6, Sects. 6-6, 6-7 & 6-8 2/19/2004 ECE-2025 Spring-04 jMc 4 LECTURE OBJECTIVES ± SINUSOIDAL INPUT SIGNAL ± DETERMINE the FIR FILTER OUTPUT ± FREQUENCY RESPONSE of FIR ± PLOTTING vs. Frequency ± MAGNITUDE vs. Freq ± PHASE vs. Freq ) ( ˆ ˆ ˆ ) ( ) ( ω j e H j j j e e H e H = MAG PHASE
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2/19/2004 ECE-2025 Spring-04 jMc 5 DOMAINS: Time & Frequency ± Time-Domain: “n” = time ± x[n] discrete-time signal ± x(t) continuous-time signal ± Frequency Domain (sum of sinusoids) ± Spectrum vs. f (Hz) ANALOG vs. DIGITAL ± Spectrum vs. omega-hat ± Move back and forth QUICKLY 2/19/2004 ECE-2025 Spring-04 jMc 6 DIGITAL “FILTERING” ± CONCENTRATE on the SPECTRUM SPECTRUM ± SINUSOIDAL INPUT ± INPUT x[n] = SUM of SINUSOIDS ± Then, OUTPUT y[n] = SUM of SINUSOIDS FILTER D-to-A A-to-D x(t) y(t) y [ n ] x [ n ] ω ˆ ˆ 2/19/2004 ECE-2025 Spring-04 jMc 7 FILTERING EXAMPLE ± 7-point AVERAGER ± Removes cosine ±
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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 Institute of Technology.

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2025-L12 - ECE-2025 Spring-2004 Info: Web-CT, Lab, HW Lab...

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