1. Not finding help here? Sign up for a free 30min 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!

Finding impulse of a CT system

  1. Oct 1, 2007 #1
    1. The problem statement, all variables and given/known data
    A continuous-time system has the input/output relationship

    [tex]y(t) = \int_{-\infty}^{t} (t - \lambda + 2)x(\lambda) d\lambda[/tex]

    Determine the impulse response h(t) of the system

    2. Relevant equations
    Convolution theorems

    [tex]y(t) = x(t) * h(t)[/tex]
    Where y(t) is the output, x(t) is the input and h(t) is the impulse response

    3. The attempt at a solution
    I have absolutely no clue how to obtain the impulse response, going backwards in a CT domain from the given equation above. Can anyone give me some hints to start me off?
  2. jcsd
  3. Oct 2, 2007 #2
    Express the convolution as an integral. Compare this integral with the problem statement and obtain a function of the form [itex]h(t-\lambda)[/itex]. It should not be too difficult then to determine [itex]h(t)[/itex].
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?