2025-L05 - ECE-2025 Spring-2008 Lecture 5 Periodic Signals...

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Unformatted text preview: ECE-2025 Spring-2008 Lecture 5 Periodic Signals, Harmonics & Time-Varying Sinusoids 5-Sept-08 09/05/2008 EE-2025 Fall-2008 jMc-BHJ 2 General Information ¡ t-square: square: OFFICIAL ANNOUNCEMENTS ¡ Old Quizzes & Problems are part of the huge database on the SP-First CDROM website (linked on t-square) ¡ Quiz #1 on 15-Sept (Monday) ¡ Allowed one page of handwritten notes ¡ Calculators permitted ¡ HW #3 due NEXT WEEK in Recitation ¡ Laptops OK in Lab 09/05/2008 EE-2025 Fall-2008 jMc-BHJ 3 Lab Info ¡ Lab #2 Report ¡ Start work early—there’s a lot to read ¡ Turn in at beginning of your lab time ¡ Discuss lab report standards with your TA ¡ Miscellaneous ¡ ERRORS ERRORS ? ALWAYS Check Announcements ALWAYS Check Announcements ¡ Complete INSTRUCTOR VERIFICATION in Lab before you leave 09/05/2008 EE-2025 Fall-2008 jMc-BHJ 4 READING ASSIGNMENTS ¡ This Lecture: ¡ Chapter 3, Sections 3-2 and 3-3 ¡ Chapter 3, Sections 3-7 and 3-8 ¡ Next Lecture: ¡ Fourier Series ANALYSIS Fourier Series ANALYSIS ¡ Sections 3-4, 3-5 and 3-6 09/05/2008 EE-2025 Fall-2008 jMc-BHJ 5 Problem Solving Skills ¡ Math Formula ¡ Sum of Cosines ¡ Amp, Freq, Phase ¡ Recorded Signals ¡ Speech ¡ Music ¡ No simple formula ¡ Plot & Sketches ¡ S ( t ) versus t ¡ Spectrum ¡ MATLAB ¡ Numerical ¡ Computation ¡ Plotting list of numbers 09/05/2008 EE-2025 Fall-2008 jMc-BHJ 6 LECTURE OBJECTIVES ¡ Signals with HARMONIC HARMONIC Frequencies ¡ Add Sinusoids with f k = kf FREQUENCY can change vs. TIME e.g., Chirps: x ( t ) = cos( α t 2 ) ∑ = + + = N k k k t kf A A t x 1 ) 2 cos( ) ( ϕ π Heads-up: (will elaborate later) 09/05/2008 EE-2025 Fall-2008 jMc-BHJ 7 ∑ = + + = N k k k t k A A t x 1 ) cos( ) ( ϕ ω Signals Studied So Far ¡ Sinusoids ¡ Sum of sinusoids of same frequency ¡ General form: (finite) sum of sinusoids • Periodic signals ∑ = + + = N k k k k t A A t x 1 ) cos( ) ( ϕ ω ) cos( ) ( ϕ ω +...
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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 Tech.

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2025-L05 - ECE-2025 Spring-2008 Lecture 5 Periodic Signals...

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