2025-L13 - ECE-2025 Spring-2009 Info: Web-CT, Lab, HW Lab...

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ECE-2025 Spring-2009 Lecture 13 Digital Filtering of Analog Signals 3 eb 9 23-Feb-09 fo: Web T Lab HW Info: Web-CT, Lab, HW uiz #2 on arch (Monday ± Quiz #2 on 9-March (Monday) ± Coverage: HW #5, #6, #7 and #8 ± Sampling, FIR filters, Frequency Response ± HW #7 due this week ± Lab #7 is posted ± terpolation for color digital cameras 2/22/2009 ECE-2025 Spring-09 JMc 2 Interpolation for color digital cameras LTI Demo with Sinusoids FILTER x[n] y[n] 2/22/2009 ECE-2025 Spring-09 JMc 3 Lecture EADING ASSIGNMENTS READING ASSIGNMENTS ± This Lecture: ± Chapter 6, Sections 6-6, 6-7 & 6-8 ± ther Reading: Other Reading: ± Recitation: Chapter 6 ± REQUENCY RESPONSE EXAMPLES FREQUENCY RESPONSE EXAMPLES ± Next Lecture: Chapter 7 2/22/2009 ECE-2025 Spring-05 jMc 4
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ECTURE OBJECTIVES LECTURE OBJECTIVES wo Domains: Time & Frequency ± Two Domains: Time & Frequency ± Track the spectrum of x[n] thru an FIR Filter: Sinusoid-IN gives Sinusoid-OUT ± UNIFICATION : How does Frequency Response affect x(t) to produce y(t) ? D-to-A A-to-D x(t) y(t) y [ n ] x [ n ] ) ( ˆ ω j e H 2/22/2009 ECE-2025 Spring-05 jMc 5 FIR ˆ ˆ IME & FREQUENCY TIME & FREQUENCY M M = = k k n x k h k n x b n y ] [ ] [ ] [ ] [ FIR DIFFERENCE EQUATION is the TIME-DOMAIN = = k k 0 0 = M k j j e k h e H ˆ ˆ ] [ ) ( = k 0 ˆ 3 ˆ 2 ˆ ˆ j j j j 2/22/2009 ECE-2025 Spring-05 jMc 6 L + + + + = ] 3 [ ] 2 [ ] 1 [ ] 0 [ ) ( e h e h e h h e H x: DELAY by 2 SYSTEM Ex: ˆ ] 2 [ ] [ for ) ( and ] [ Find = n x n y e H n h j y [ n ] x [ n ] ] [ n h } 1 , 0 , 0 { = k b ] 2 [ ] [ = n n h δ y [ n ] x [ n ] ) ( ˆ j e H 2/22/2009 ECE-2025 Spring-05 jMc 7 ˆ ˆ ELAY by 2 SYSTEM DELAY by 2 SYSTEM ˆ ] 2 [ ] [ for ) ( and ] [ Find = n x n y e H n h j y [ n ] x [ n ] ] 2 [ n M k j j ˆ ˆ = = k e k e H 0 ] 2 [ ) ( ) ( ˆ j e H k = 2 ONLY y [ n ] x [ n ] ˆ 2 j e 2/22/2009 ECE-2025 Spring-05 jMc 8 ˆ ˆ
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2025-L13 - ECE-2025 Spring-2009 Info: Web-CT, Lab, HW Lab...

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