2025-L18 - ECE-2025 Spring-2004 Info Web-CT Lab HW Quiz#2...

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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 ω ) y ( t ) = h ( t ) x ( t ) = h ( τ ) −∞ x ( t τ ) d τ 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) Make x(t) a weighted sum of signals Use Use SINUSOIDS
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