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Unformatted text preview: ECSE 2410 SIGNALS AND SYSTEMS SPRING 2003 Rensselaer Polytechnic Institute FINAL EXAM (3 hours) May 5, 2003 Check One: C Sect. 1 10 am (Wozny) C Sect. 2 12:30 pm (Desrochers) NAME: __________________________________________C Sect. 3 2 pm (Yuksel) Do all work on these pages. Tables will be handed out separately. Five pages of crib notes allowed. Calculators allowed. Label and Scale axes on all sketches and indicate all key values Show all work for full credit PART IA PART IB Total Grades for Exam: Grand Total 1 Problem Points Grade Problem Points Grade 1(a) 4 2(a) 5 1(b) 3 2(b) 5 1(c) 3 2(c) 6 1(d) 4 1(e) 3 TOTAL 17 TOTAL 16 Grades for Points Score Grades for Points Score Part IA 17 Part IB 16 Part IIA 16 Part IIB 18 Part IIIA 17 Part IIIB 16 TOTAL 50 TOTAL 50 2 Problem 1 (17 pts). (a)(4 pts) Sketch the convolution of the two signals below. Label the axes and label amplitudes, time, and other important points. Problem 1 (cont.) 3 ) ( ) ( t y t x a a t x a ( t ) 1 1 t y a ( t ) 1 1 t (b)(3 pts) Find the impulse response, h ( t ), for a system with step response u(t) (4t) 2 = (t) y step cos . h ( t ) = (c)(3 pts) The impulse response of a linear, timeinvariant, discretetime system is .......} , , , , 1 , 2 , 3 { = h[n] . Find the response sequence, [n] y a , to 1} , 1 , { = [n] x a . [n] y a = 4 Problem 1 (continued), (d)(4 pts) Find and sketch t) (1 x d when else 3 < t < 1 2 t = (t) x d . t) (1 x d = (e)(3 pts) Evaluate, i.e., reduce to a number, e n j 4 , where n is an integer. e n j 4 = 5 t t) (1 x d Problem 2 (16 pts). (a)(5 pts) Suppose the step response to a linear, timeinvariant, discretetime system is u[n] 2 1 1 = [n] y n step . Find the first four elements in the impulse response....
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This test prep was uploaded on 04/10/2008 for the course ECSE 2410 taught by Professor Wozny during the Spring '07 term at Rensselaer Polytechnic Institute.
 Spring '07
 WOZNY

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