A#07_Solutions-1 - Assignment#7»— Solutions-—— p...

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Unformatted text preview: Assignment #7»— Solutions -—— p. / ECSE—2410 Signals & Syswms — Spring 2007 Assignment #7— Solutions ~— 9. Z’ ECSE—2410 Signals & Systems — Spfing 2007 “la-«640 “I”? A 4. WW / 0 f ” /Lve‘*2— @éh’ »2+t Assignment #7— Solutions - p. 3 ECSE—2410 Signais 8: Systems - Spring 2007 ,2.) Of“) t ¢ Mar—$5941... (a) ' a,“ r1.» +' 3°9=2<ij= wwwakfim): 83%..5JW . 4w.— {1‘ 3 gaf/yflfiJ )3 L am” i 8.333% ‘8 ‘U L “1 '7; _ ._.___J_ V1.1 2%; ‘4 ‘U *C‘ ‘U \W Kc ..... Assignment #7— Solutions -- p. RISE-2410 Signais & Sysiems — Spring 2007 y The periodic waveform shown can be expressed as an exponential Fourier series, x0) = 2 at e”“"°’ , x0) ks—m (a)(1)Find $heperiod, T. (b)(2) Find the DC vaiue, a9. .. .L _. l .. i- .L 402$: ’ “(L3 Lei—z} '1— 4— ” ' (c)(7) Find the general expression for the oiher exponential Fourier coefficients, a k , k e O . Use properties and known formulas for basic Fourier series. No credit for direct iniegration of the defining NH “£545” br-“J‘ i" “We formuia for at. Assignment #7— Selutions — p. f ECSE-2410 Signals & Systems — Spring 2007 Find the exponentia} Fourier series coefficients, at , for the periodic signal, Tr—‘n‘ Show a1: work. “.9 w 9 Ln“ K wax“ Intermediate. graph, if needed ...
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