2025-L18 - ECE-2025 Spring-2004 Info: Web-CT, Lab, HW Quiz...

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ECE-2025 Spring-2004 Lecture 18 Frequency Response of Continuous-Time Systems 22-March-04 3/21/2004 ECE-2025 Fall-03 jMc 2 Info: Web-CT, Lab, HW ± Quiz #2: resolve grades by Friday (26-Mar) ± CHECK YOUR GRADES !!! ± Web-CT is the OFFICIAL gradebook ± HW #8 due this week ± Lab #9 starts this week ± TouchTone Decoder ± Quiz #3 will be 9-April (Friday) 3/21/2004 ECE-2025 Fall-03 jMc 3 Convolution GUI: Sinusoid Lecture 3/21/2004 ECE-2025 Fall-03 jMc 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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3/21/2004 ECE-2025 Fall-03 jMc 5 LECTURE OBJECTIVES ± Review of convolution ± THE THE operation for LTI 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 3/21/2004 ECE-2025 Fall-03 jMc 6 LTI Systems ± Convolution defines an LTI system ± Response to a complex exponential gives frequency response H(j ) y ( t ) = h ( t ) x ( t ) = h ( τ ) −∞ x ( t ) d 3/21/2004 ECE-2025 Fall-03 jMc 7 Thought Process #1 ± SUPERPOSITION (Linearity) ± Make x(t) a weighted sum of signals ± Then y(t) is also a sum—different weights 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 3/21/2004 ECE-2025 Fall-03 jMc 8 Thought Process #2 ± SUPERPOSITION (Linearity) ±
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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 Tech.

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2025-L18 - ECE-2025 Spring-2004 Info: Web-CT, Lab, HW Quiz...

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