SPFirst-L06

SPFirst-L06 - Signal Processing First READING ASSIGNMENTS...

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9/8/2003 1 Signal Processing First Lecture 6 Fourier Series Coefficients 9/8/2003 3 READING ASSIGNMENTS ± This Lecture: ± Fourier Series in Ch 3, Sects 3 Fourier Series in Ch 3, Sects 3 -4, 3 4, 3 5 & 3 -6 ± Replaces pp. 62-66 in Ch 3 in DSP First ± Notation: a k for Fourier Series ± Other Reading: ± Next Lecture: More Fourier Series 9/8/2003 4 LECTURE OBJECTIVES ± Work with the Fourier Series Integral ± ANALYSIS ANALYSIS via Fourier Series ± For PERIODIC signals: x(t+T 0 ) = x(t) ± Later: spectrum from the Fourier Series = 0 0 0 0 ) / 2 ( 1 ) ( T dt e t x a t T k j T k π 9/8/2003 5 HISTORY ± Jean Baptiste Joseph Fourier ± 1807 thesis (memoir) ± On the Propagation of Heat in Solid Bodies ± Heat ! ± Napoleonic era ± http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Fourier.html
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9/8/2003 6 9/8/2003 7 0 100 250 –100 –250 f (in Hz) 3 / 7 π j e 3 / 7 j e 2 / 4 j e 2 / 4 j e 10 SPECTRUM DIAGRAM
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This note was uploaded on 03/03/2010 for the course EE 48976 taught by Professor Nayak during the Spring '10 term at USC.

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SPFirst-L06 - Signal Processing First READING ASSIGNMENTS...

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