Get started today!

Good to have you back!
If you've signed in to StudyBlue with Facebook in the past, please do that again.

- StudyBlue
- Virginia
- George Mason University
- Electrical Engineering
- Electrical Engineering 421
- Cook
- hw-421-s05-01.pdf

Mohammed M.

ECE 421, Spring 2005, HW Assignment #1 Signals and Systems Review Problems Due Tuesday, February 1 1. Determine the Laplace transform for the following time-domain signal. Express the answer in the normal transfer function format, that is, as a ratio of polynomials. x1(t) = ‰ 0; t < 0 t¡3e¡4t +2e3t; t ‚ 0 (1) 2. Determine the time-domain expressions for each of the Laplace transforms shown below. X2a(s) = 4s2 (2s+1) = 2s2 (s+0:5) (2) X2b(s) = 5s(s2 +2s+5) = 5s(s+1+j2)(s+1¡j2) (3) 3. Without computing inverse Laplace transforms, determine the output signals for each of the following three systems for the given sinusoidal inputs. The system transfer functions are given by the Gi(s); and the input signals are xi(t): G3a(s) = 10(s+2)(s+0:1)(s+10)(s+20); x3a(t) = 5cos(3t+…=3) (4) G3b(s) = 10(s+2) 2 (s+10)(s+20); x3b(t) = 2cos(4t¡…=4) (5) G3c(s) = 10(s+0:1)3; x3c(t) = 4cos(0:5t)+10cos(2t+…=3) (6) 4. For each of the transfer functions below, determine the poles and zeros and indicate whether the system is stable or unstable. If the system is unstable, indicate what property of the transfer function makes it unstable. G4a(s) = 10(s+2)(s+0:1)(s2 +30s+200) (7) G4b(s) = 10(s¡2)(s2 +6s+9)(s2 +11s+30) (8) G4c(s) = 10 ¡s2 +3s+2¢ (s2 ¡9)(s2 +9s+20) (9) G4d(s) = 10 ¡s2 +s¡2¢ (s+9)(s2 ¡9s+20) (10) 5. EithersketchingbyhandorusingMATLAB,drawtheBodemagnitudeandphaseplotsforthefollowing transfer function. The frequency range should extend from 0.01 rad/sec to 1000 rad/sec. G5(s) = 300(s+1)(s+2)s(s+0:4)(s+5)2 (s+30) = 2(s+1) ‡s 2 +1 · s ‡ s 0:4 +1 ·‡s 5 +1 ·2‡ s 30 +1 · (11) 1

Advertisement
)

Advertisement

"StudyBlue is great for studying. I love the study guides, flashcards and quizzes. So extremely helpful for all of my classes!"

Alice , Arizona State University"I'm a student using StudyBlue, and I can 100% say that it helps me so much. Study materials for almost every subject in school are available in StudyBlue. It is so helpful for my education!"

Tim , University of Florida"StudyBlue provides way more features than other studying apps, and thus allows me to learn very quickly!Â I actually feel much more comfortable taking my exams after I study with this app. It's amazing!"

Jennifer , Rutgers University"I love flashcards but carrying around physical flashcards is cumbersome and simply outdated. StudyBlue is exactly what I was looking for!"

Justin , LSU