{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Final_Exam_ver1

# Final_Exam_ver1 - ECSE 2410 SIGNALS AND SYSTEMS SPRING 2003...

This preview shows pages 1–8. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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 0 0 t y a ( t ) 1 1 0 0 t

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
(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, time-invariant, discrete-time system is ....... } 0 , 0 , 0 , 0 , 1 , 2 , 3 { = h[n] . Find the response sequence, [n] y a , to 1} , 1 , { = [n] x a 0 . [n] y a = 4
Problem 1 (continued), (d)(4 pts) Find and sketch t) - (1 x d when else 0 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 π 4 , where n is an integer. e n j π 4 = 5 t t) - (1 x d

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Problem 2 (16 pts). (a)(5 pts) Suppose the step response to a linear, time-invariant, discrete-time system is u[n] 2 1 - 1 = [n] y n step . Find the first four elements in the impulse response. h[0] = h [1] = h [2] = h [3] =
Problem 2 (continued), (b)(5 pts) A continuous linear time-invariant system has the step response u(t) ) e - (1 = (t) y t -2 step .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 22

Final_Exam_ver1 - ECSE 2410 SIGNALS AND SYSTEMS SPRING 2003...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online