2025-L07

# 2025-L07 - EE-2025 Spring-2004 Quiz #1 Info Quiz #1 on...

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EE-2025 Spring-2004 Lecture 7 Fourier Series & Spectrum 30-Jan-2004 1/29/2004 EE-2025 Spring-2003 jMc 2 Quiz #1 Info ± Quiz #1 on 2-Feb-04 (Monday) ± Coverage: HW #1, #2, and #3 ± Allowed one page of notes (Handwritten) ± Review Session Planned: Sunday, 1-Feb, 4pm, in ECE Auditorium ± Check WebCT for other related announcements ± Old Quizzes & Problems are linked via WebCT: ± “Word from Previous Semesters” 1/29/2004 EE-2025 Spring-2003 jMc 3 The Rules ± Quizzes ± NO make-ups given ± Next Quiz would count for the one missed, IF excused ± Excused Absence ± Must be written (by an “official”) ± Notify ahead of time via e-mail ± Consult “INFO” on Web-CT for more details 1/29/2004 EE-2025 Spring-2003 jMc 4 Sinusoidal Synthesis ± Use Short-Duration Sinusoids: ± Amp, Phase, Frequency & Duration ± Freq will change every FRAME ± Then ADD several sinusoids together x ( t ) = A k cos(2 π f k t k )f o r t k t t k + 1 t k t t k + 1

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1/29/2004 EE-2025 Spring-2003 jMc 5 ANALYSIS --> SYNTHESIS BREAK INTO FRAMES Amp Phase Freq Per Frame PUT FRAMES BACK TOGETHER SMOOTHLY x(t) y(t) ADD UP the SINUSOIDS makecos( ) FFT: DO FOURIER ANALYSIS 1/29/2004 EE-2025 Spring-2003 jMc 6 Sine Synthesis: SPEECH ± FRAME Length = 10 millisec ± Examples: ± Original ± 9 sinusoids per frame ± 4 sinusoids ± 2 sinusoids ± Need to SMOOTH Boundaries 1/29/2004 EE-2025 Spring-2003 jMc 7 Time-Varying FREQUENCIES “Diagram” Frequency is the vertical axis Time is the horizontal axis 1/29/2004 EE-2025 Spring-2003 jMc 8 4-SINES Spectrogram
1/29/2004 EE-2025 Spring-2003 jMc 9 9-SINES Spectrogram Frequency is the vertical axis 1/29/2004

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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-L07 - EE-2025 Spring-2004 Quiz #1 Info Quiz #1 on...

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