Impulse response of FIR filter given the output is known

  • #1
Jd303
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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!
 

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