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LTI Acceleration sensor

  1. Jan 12, 2015 #1
    1. The problem statement, all variables and given/known data
    Please see he attached file for the problem text.

    2. Relevant equations
    The output ##y(t) = h(t) * x(t)##, where ##h(t)## is the system's impulse response while ##x(t)## is the input signal.

    Laplace transformed, the formula above turns into ## Y(s)=H(s) \cdot X(s)##, where ##H(s)## is the transfer function.

    3. The attempt at a solution

    Uhm, well.. I am very lost.

    1) Why does the transfer function have units Volt/Acceleration ? Isn't it the impulse response that should have those units?

    2) Why exactly does a laplace-transform of a signal move the signal to the frequency domain? Is it just because the new variable has units 1/Second ?

    Anyway, to solve this problem I know that ##X(s)=a_0/s##, since ##x(t) = a_0 u(t)##, with ##u(t)## being the unit-step function. But how do I proceed?
     

    Attached Files:

  2. jcsd
  3. Jan 13, 2015 #2
    Guys the problem is solved. no need to answer
     
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