Given two sequences: x(n) = 28(n) + 38(n 1) - x (n) = 8(n) -...

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Given two sequences: x₁(n) = 28(n) + 38(n − 1) - x₂ (n) = 8(n) - 28(n + 2) (a) Find the z-transform of the convolution: [4] X(z) = Z(x₁(n) * x₂(n)). (b) Determine the convolution sum using the z-transform: [2] 00 x(n) = x1(n) * x2(n) = Σ x₁(k)x2 (n − k). - k=0 (c) Plot the signal x₁(n), x₂ (n) and x(n) [4] Given two sequences: x₁(n) = 28(n) + 38(n − 1) - x₂ (n) = 8(n) - 28(n + 2) (a) Find the z-transform of the convolution: [4] X(z) = Z(x₁(n) * x₂(n)). (b) Determine the convolution sum using the z-transform: [2] 00 x(n) = x1(n) * x2(n) = Σ x₁(k)x2 (n − k). - k=0 (c) Plot the signal x₁(n), x₂ (n) and x(n) [4]

Answer rating: 100% (QA)

To solve the tasks lets start with finding the ztransform of the given sequences Given sequences x1n ... View the full answer