Discrete Convolution 5. Compute the convolution y[n] = x₁[n] * x₂[n], if and *₁ [0] =−3, #₁[1] = -2, x₁[2] =2, x₁[n] = 0 otherwise ₂[-2] =-1, ₂-1] =-1, x₂ [0] = -2, x2[1] =3, ₂[n] = 0 otherwise (i) What is the minimum FFT length required if you were going to calculate this convolution using the FFT?

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Discrete Convolution
5. Compute the convolution y[n] = x₁[n] * x₂ [n], if
and
£₁ [0] =-3, ₁[1] = -2, x₁[2] =2, ₁[n] = 0 otherwise
I1
x₂[−2] =−1, x₂ [1] =−1, x₂ [0] = -2, x₂[1] =3, 2[n] = 0 otherwise
(i) What is the minimum FFT length required if you were going to calculate this convolution
using the FFT?
Transcribed Image Text:Discrete Convolution 5. Compute the convolution y[n] = x₁[n] * x₂ [n], if and £₁ [0] =-3, ₁[1] = -2, x₁[2] =2, ₁[n] = 0 otherwise I1 x₂[−2] =−1, x₂ [1] =−1, x₂ [0] = -2, x₂[1] =3, 2[n] = 0 otherwise (i) What is the minimum FFT length required if you were going to calculate this convolution using the FFT?
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