SignalsExam3S03 - ECSE-2410 SIGNALS AND SYSTEMS SPRING 2003...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
ECSE-2410 SIGNALS AND SYSTEMS SPRING 2003 Rensselaer Polytechnic Institute EXAM #3 (1 hour and 50 minutes) March 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 Grades for Points Score Part I 34 Part II 31 Part III 35 TOTAL 100 Problem Points Grade 1 8 2 4 3 8 4(a) 10 4(b) 4 TOTAL 34
Background image of page 1

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

View Full Document Right Arrow Icon
1. (8 pts) A second-order system is described by ( 29 ) ( ) ( 6 ) ( 8 ) ( 2 2 2 t x t y K dt t dy dt t y d = + + + , where K is a constant. (a) (4 pts) If K = 4, find the damping ratio, ζ . = (b) (4 pts) Find the value of K that will make the system critically damped. K =
Background image of page 2
2. (4 pts) The input-output behavior of an LTI system is described by the differential equation, ) ( 2 ) ( 2 ) ( t x t y dt t dy = + . Find the frequency response H ( ϖ ) for this system. H ( ) = 3
Background image of page 3

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

View Full Document Right Arrow Icon
3. (8 pts) A communication system utilizing asynchronous amplitude modulation is shown below. Suppose x ( t ) has the following spectrum, else 0 2 | | = ) X( π ϖ cos . (No need to find x ( t )!) (a) (5 pts) Sketch S ( ) if c =3 . Label and scale your axes. S ( ) if c =3 . You can express S ( ) in terms of X ( ). 4 2 1 x(t) c ( t ) = 10cos c t + + S( [ ] t t x t s c cos ) ( 1 10 ) ( 2 1 + =
Background image of page 4
4. (14 pts) The system below is used for frequency-division multiplexing where three signals, x 1 ( t ), x 2 ( t ), and x 3 ( t ) are simultaneously transmitted via w ( t ).
Background image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 16

SignalsExam3S03 - ECSE-2410 SIGNALS AND SYSTEMS SPRING 2003...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online