Exam#02 - ECSE-2410 SIGNALS AND SYSTEMS SPRING 2003...

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ECSE-2410 SIGNALS AND SYSTEMS SPRING 2003 Rensselaer Polytechnic Institute EXAM #2 (1 hour and 50 minutes) February 26, 2003 Check One: C Sect. 1 10am (Wozny) C Sect. 2 12:30pm (Desrochers) NAME: __________________________________________ C Sect. 3 2:30pm (Yuksel) Do all work on these sheets. Tables will be handed out separately. One page of crib notes allowed. Calculators allowed. Label and Scale axes on all sketches and indicate all key values Show all work for full credit Total Grades for Exam: PART I 1 Grades for Points Score Part I 34 Part II 33 Part III 33 TOTAL 100 Problem Points Grade 1(a) 9 1(b) 4 2(a) 5 2(b) 5 3 11 TOTAL 34

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1(13 pts). (a)(9 pts) Find ) ( X 1 ϖ , the Fourier transform of (t) x 1 , where else 0 1 t 1 - t = (t) x 1 Use the tables and the properties. No credit if you integrate the Fourier integral. (b)(4 pts) Find ) ( X 2 , the Fourier transform of (t) x 2 , where else 0 2 t 0 t - 1 = (t) x 2 Express ) ( X 2 in terms of ) ( X 1 . 2
2(10 pts). Find the Fourier transform of (a)(5 pts) x 1 ( t )=[e - t u ( t )]cos(2 t ) (b)(5 pts) x 2 ( t )=e -(1+ j ) t u ( t ) 3

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3(11 pts).
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Exam#02 - ECSE-2410 SIGNALS AND SYSTEMS SPRING 2003...

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