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 earlytheres 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( t 2 ) = + + = N k k k t kf A A t x 1 ) 2 cos( ) ( 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( ) ( 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( ) ( ) cos( ) ( +...
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2025-L05 - ECE-2025 Spring-2008 Lecture 5 Periodic Signals,...

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