ECE3337Fall2006Final_0003 - ANALYSIS I ELEE 3 337, F inal E...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
ANALYSIS I ELEE 3337, Final Exam, December 13, 2006 Part A Name: 1( 30) 2 (70 Part A Part B Total a b a b c d e 10 20 15 100 200 IO , I ID o .) tn 7ts b'7 lq5 Rules of the Game: Put your name at the top of this page. Staple the problem sheets to your solution sheets and return the complete package. Books nor claculators are allowed, but a self-prepared 'crib-sheet' (2 pages) can be used. Cheaters will be prosecuted! Answers that do not provide sufficient detail as to how you arrived at thern will receive partial credit only! Maximum credits for each question are shown in the table above. 1. The signals a(t) ar'd z2(t) are obtained by 4(t):[r(f)*n@)'Y(t) and z2(t) : ["(t) ' y(t)]x h(t), with a(t) u(t - 2) - u(t - 4), h(t) :26(t * 3) and e-tu(t)' lt (a) Determine the Fourier transform Zr(r) of a(t). t' (b) Prove, by doing the multiplication and convolution in the time'domain, that a(t) I z2(t). 2. The relation between input r(i) and output g(f) is given by the following differential equation: U-2il*2Y:2*' The relation between input and output can also be written as y(r) r(t) * h(t) ' You may assume that the system is at rest for t < 0. (a) Determine c for liml-s+ h(t) : -3. (b) Determine the poles and zeros of the system function 11(")- (c) Is the system stabie? (d) The output y(t) of h(l) in response to input r(t) is sampled. The maximum
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/26/2011 for the course ECE 3337 taught by Professor Staff during the Fall '08 term at University of Houston.

Page1 / 13

ECE3337Fall2006Final_0003 - ANALYSIS I ELEE 3 337, F inal E...

This preview shows document pages 1 - 2. Sign up to view the full document.

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