1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Laplace transform convolution

  1. Nov 10, 2014 #1
    1. The problem statement, all variables and given/known data
    [itex]x(t) = cos(3πt)[/itex]
    [itex]h(t) = e-2tu(t)[/itex]

    Find [itex]y(t) = x(t) * h(t) [/itex](ie convolution)

    2. Relevant equations
    Y(s) = X(s)H(s) and then take inverse laplace tranform of Y(s)

    3. The attempt at a solution
    [itex] L(x(t)) = \frac{s}{s^2+9π^2} [/itex]
    [itex] L(h(t)) = \frac{1}{s+2} [/itex]

    I then try to find the partial fractions but it looks more complicated than it should be..
     
  2. jcsd
  3. Nov 10, 2014 #2

    BvU

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    What about u(t) ?
     
  4. Nov 10, 2014 #3

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Show us your partial fractions work. It shouldn't be all that hard.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted