Quant Found for Sys Engr
Quant Found for Sys Engr SYST 500
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This 1 page Class Notes was uploaded by Dedric Yost on Monday September 28, 2015. The Class Notes belongs to SYST 500 at George Mason University taught by Staff in Fall. Since its upload, it has received 42 views. For similar materials see /class/215155/syst-500-george-mason-university in System Engineering at George Mason University.
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Date Created: 09/28/15
SYST 500CSI 600 Lecture 10 Partial Notes Ariela Sofer Fourier SeriesContinued 1 Fourier Series 0 If f is periodic with fundamental period T 2p the Fourier series of f is given by ft g Zancos t Z bnsin t7 2 n1 p n1 p even part odd part where Q o i i 1 39B 39s H A 5 R or ftcos tdt n 2 1 9 i i N E e ftsmTtdt 7121 p a e H EMA EMA 61quot N vs 393 0 Example Consider the sawtooth77 cyclical function whose period is 27139 and 0 7W S t lt 0 fat 7 t 0 S t lt 7139 To compute the Fourier series note that p 7139 We have then 1 7r 1 7r 1 7r 7T 7 tdt7tdtit2 7 a0 7TWflt 7ro 7T0 2 For n 2 1 tsinnt n 7r 1 7r 77 sinntdt 0 mr 0 1 739 1 739 1 an g r ft cosntdt gO tcosntdt g 0 cosmr 7 1 cosmmg W Since 7 71 n135 COST 1 n246 2 77 n135 an 77712 0 n246 1
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