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Homework Help: 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].
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