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Step impulse response

  1. Dec 4, 2013 #1
    y(n) = a * y(n-1) + K * b * x(n-1) + K * x(n), where |a| < 1.

    (a) Calculate its impulse response, h(n).
    the homogenous equation is l^n-1(l-a) = 0 => 1 = a
    so h(n) = [ka^n ] u(n)

    (b) Calculate its step response.

    I can't seem to find any examples online and my book says nothing about step responses. I am not sure where to start.
  2. jcsd
  3. Dec 4, 2013 #2


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    1. learn to use [itex]\LaTeX[/itex] here.
    2. looks like homework.
    3. except for [itex]x[0][/itex], if all other [itex]x[n][/itex] is zero, what would [itex]y[n][/itex] look like? (that might give you a hint about what [itex]h[n][/itex] might be.)
    4. integrate [itex]h[n][/itex] to get the step response.
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