quiz4_solution_1 - EE 228 Quiz 4 Winter 2007 Name Problem#1...

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Unformatted text preview: EE 228 Quiz 4 Winter 2007 Name: Problem #1 Find and sketch the magnitude and phase spectrum of the Fourier transform of the following functions: 5} (21) x0”) = e”’u(r), where a is real and negative. 3 (b) y(r)=6<r—I) °° 4: £37 (a) xzmzjo a? 631 ft dt °° Canimflt _ éafimffi’lf ' I e“. _ a‘jzfif :. raiijmf - MM H b lXfiWW . - " Elf. (Xi?) ~—’£‘0m ta) (bw Em <=1'_ ,, ‘ «3.2m Hithé‘tt-I) C?) J: a WLM ‘4 if Ewan“ Problem #2 1 Giventhat H(f)=1+jf, - E < (a) The magnitude of H(0). (b) The phase of H(0), expressed as a number in the interval [0,270. find the following: ‘ (c) The magnitude of H( 1). E C (d) The phase of HG), expressed as a number in the interval [0,210. 2 ~— (e) Sketch the magnitude spectrum and phase spectrum of H09. [Html'é (b), 1 [HM i: 0 _ I (C) H“) : 1+3 (e) [HG] z: ~tqn-it on: tuft-:0 ...
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