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2025-L21

# 2025-L21 - Info Lab HW ECE-2025 Fall-2008 Labs Lab10 is a...

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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 ω ) – note the notation y ( t ) = h ( t ) x ( t ) = h ( τ ) −∞ x ( t τ ) d τ 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 Any
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2025-L21 - Info Lab HW ECE-2025 Fall-2008 Labs Lab10 is a...

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