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Impulse response of FIR filter given the output is known

  1. Apr 17, 2013 #1
    Hi all,
    I am faced with this question, I am stumped as it is presented in a different way to what I am used to:

    The output from a FIR filter for a unit step input u[n] is
    y[n] = δ[n] + 3 δ[n - 1] + 6 δ[n - 2] + 10 δ[n - 3] + 15 u[n]
    What is the impulse response of the FIR filter?

    A. h[n] = Ʃ kδ[n - k + 1]
    B. h[n] = Ʃ kδ[n - k - 1]
    C. h[n] = Ʃ δ[n - k + 1]
    D. h[n] = Ʃ (k^2)δ[n - k]

    Really don't know how to attack this problem any help would be greatly appreciated. Thanks in advance!
  2. jcsd
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