2025-L21 - Info: Lab & HW ECE-2025 Fall-2008 Labs:...

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ECE-2025 Fall-2008 Lecture 21 Frequency Response of Continuous-Time Systems 10-Nov-08 11/07/2008 ECE-2025 Fall-08 jMc-BHJ 2 Info: Lab & HW ± Labs: Lab10 is a full lab ± requires formal report, worth 150 pts. ± report due the week of Nov. 17, after Quiz #3 (see announcement on t-square for details) ± No labs from Nov 19 until return from Thanksgiving ± Lab 12 during the week of Dec 1-5 (no report) ± HW #12 will be due next week (17-Nov) ± Quiz #3 on 14-Nov (Friday) ± Coverage: through HW11 11/07/2008 ECE-2025 Fall-08 jMc-BHJ 3 Convolution GUI: Sinusoid 11/07/2008 ECE-2025 Fall-08 jMc-BHJ 4 READING ASSIGNMENTS ± This Lecture: ± Chapter 10, all ± Other Reading: ± Recitation: Ch. 10 all, start Ch 11 ± Next Lecture: Chapter 11
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11/07/2008 ECE-2025 Fall-08 jMc-BHJ 5 LECTURE OBJECTIVES ± Review of convolution ± THE THE operation for LTI Systems ± Complex exponential input signals ± Frequency Response ± Cosine signals ± Real part of complex exponential ± Fourier Series thru H(j ω ) ± These are Analog Filters 11/07/2008 ECE-2025 Fall-08 jMc-BHJ 6 LTI Systems ± Convolution defines an LTI system ± Response to a complex exponential gives frequency response H(j ) – note the notation y ( t ) = h ( t ) x ( t ) = h ( τ ) −∞ x ( t ) d 11/07/2008 ECE-2025 Fall-08 jMc-BHJ 7 Thought Process #1 ± SUPERPOSITION (Linearity) ± Make x(t) a weighted sum of signals ± Then y(t) is also a sum—same weights But DIFFERENT OUTPUT SIGNALS usually ± Use SINUSOIDS “SINUSOID IN GIVES SINUSOID OUT” ± Make x(t) a weighted sum of sinusoids ± Then y(t) is also a sum of sinusoids ± Different Magnitudes and Phase ± LTI SYSTEMS : Sinusoidal Response 11/07/2008 ECE-2025 Fall-08 jMc-BHJ 8 Thought Process #2 ± SUPERPOSITION (Linearity) ± Make x(t) a weighted sum of signals ± Use Use SINUSOIDS SINUSOIDS ± Any
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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 Institute of Technology.

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2025-L21 - Info: Lab & HW ECE-2025 Fall-2008 Labs:...

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