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sp2004_exam2soln4

# sp2004_exam2soln4 - ‘ Problem 4(25 points Suppose that...

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Unformatted text preview: ‘ Problem 4 (25 points) Suppose that the periodic signal f (t) is given by f (t) = 2 + sin(0.27rt) + cos(0.47rt) + coS(7rt) (a) The Fourier coefﬁcients for f (t) satisfy Fﬂ = 1-7.". ‘ L TRUE or. / 2;; (b) The Fourier coefﬁcients for f(t) )satisfy Im{Fn }— - 0 , TRUE 0. /7. c L. (c) What IS the fundamental frequency, we, for f (t our WM“ ((1) What IS the ”ayerage power of f (t) 7 power?— :lFilLl’ )1 +QK 5(1‘)L: W‘s-:S‘S‘W (e) Suppose an LTI system has H (w) is given by HQ)” {1-—2<w<2 Looks; ﬁ/J-{r‘ 0 else What IS y(t) if f (t) IS the-input to this LTI system? 6“) '9? ”l‘ Sm (0 ZT‘t)-+ COS(0V7T1‘) 5;:2, Egg—g 1‘ .- 3,6ng F : J. F 2 ...
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