Going from the transfer function to the systems unit impulse response

Discussion in 'Homework Help' started by u-will-neva-no, Jan 4, 2012.

  1. u-will-neva-no

    Thread Starter Member

    Mar 22, 2011
    230
    2
    Hey everyone, I have a transfer function which is:
     H(S) = \frac{2}{3s} - \frac{1}{s+2}  + \frac{1}{3(s+3)}

    I would like to know the relationship between H(S) \Longleftrightarrow h(t) because I am required to find h(t).

    I know that the solution is: h(t) = \frac{2}{3}u(t) - exp(-2t) + \frac{1}{3}exp(-3t)

    Thank you!
     
  2. u-will-neva-no

    Thread Starter Member

    Mar 22, 2011
    230
    2
    Okay I just solved this. Let me know if anyone would like to know how I did it.

    How would I go about drawing the above function of h(t)? Graphical calculator is not allowed also!
     
  3. u-will-neva-no

    Thread Starter Member

    Mar 22, 2011
    230
    2
    Perhaps I should think a little more before posting. No need to help me on this post but message on here if you would like to know how to do it! Sorry..
     
  4. steveb

    Senior Member

    Jul 3, 2008
    2,433
    469
    Sometimes talking about a problem makes it easier to solve it. Don't know why that is, but it seems to be often true.

    We don't mind listening. ;)
     
  5. u-will-neva-no

    Thread Starter Member

    Mar 22, 2011
    230
    2
    That is true. Perhaps we try to write the question clear for others which sometimes reminds us of something related to the question. Thanks for listening :)
     
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