fall 2004 EE 3120 test #2

fall 2004 EE 3120 test #2 - b. From this plot talk about...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Name:_____________________________________ EE 3120 Test # 2 SSN:_______________________________________ Fall 2004 1. Given X(s), find x ( t ) using the Laplace transform table. 2 2 4 5 ( ) ( 1) s s X s s s + - = - 2. Given H(s), find the differential equation for the system. H(s) = 2 3 2 3 6 2 5 7 s s s s s + - - + +
Background image of page 1

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

View Full DocumentRight Arrow Icon
3. Some Laplace transform tables have additional transforms. Your table is missing transforms for the time domain function cos o t t ϖ and sin o t t . Derive the Laplace transform of cos o t t using the Laplace transform table and Laplace transform properties table. You DO NOT need to find this transform using the Laplace transform integral.
Background image of page 2
4. The Matlab residue function is applied to a transfer function H(s) with the following results. r = -1.2500 + 0.2500i -1.2500 - 0.2500i 0.5000 p = -1.0000 + 1.0000i -1.0000 - 1.0000i 0 k = 1 a. Plot the poles in the complex s-plane.
Background image of page 3

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

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

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

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: b. From this plot talk about the stability of the transfer function. c. Find the impulse response h ( t ). 5. The unit step response of a system is given by: 2 ( ) (4 4 ) ( ) t y t e u t-=-. a. Find the impulse response h ( t ) without using any transforms. b. Find the impulse response h ( t ) using the laplace transform. 6. Using the table, find the convolution of x ( t) and h ( t ). 4 ( ) 5 cos(2 .67) ( ) ( ) ( ) t h t e t u t x t u t-= + = 7. Find the convolution graphically of x ( t) and h ( t ): ( ) ( ) ( ) ( 1) 2 ( 2) ( 3) x t u t h t u t u t u t = =---+-8. Consider the circuit shown below. Find the transfer function. Find the output v ( t ) excited by a 2 V DC input voltage source and the initial conditions i (0-)= -1 A, and v (0-) = -2 V....
View Full Document

This note was uploaded on 02/06/2012 for the course EE 2120 taught by Professor Aravena during the Fall '08 term at LSU.

Page1 / 7

fall 2004 EE 3120 test #2 - b. From this plot talk about...

This preview shows document pages 1 - 7. Sign up to view the full document.

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