(a) Consider discrete-time signals x [n] and x [n] respectively given as x [n] = 28[n+...

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(a) Consider discrete-time signals x₁ [n] and x₂ [n] respectively given as x₁ [n] = 28[n+ 2] + u[n] - u[n - 2], x₂ [n]u[n 1] - u[n − 2] + 28[n - 3]. and (i) (ii) Sketch the waveforms of x₁ [n] and x₂ [n]. Find the convolution x₁ [n] * x₂ [n]. (b) Consider continuous-time signals x₁ (t) and x₂ (t) respectively given as (t+1 x₁ (t) = 2 0 −1≤ t < 0 0 < t < 2, otherwise x₂ (t) = u(t) - u(t - 2). Find the convolution x₁(t) * x₂(t). (5 marks) (10 marks) (15 marks) (a) Consider discrete-time signals x₁ [n] and x₂ [n] respectively given as x₁ [n] = 28[n+ 2] + u[n] - u[n - 2], x₂ [n]u[n 1] - u[n − 2] + 28[n - 3]. and (i) (ii) Sketch the waveforms of x₁ [n] and x₂ [n]. Find the convolution x₁ [n] * x₂ [n]. (b) Consider continuous-time signals x₁ (t) and x₂ (t) respectively given as (t+1 x₁ (t) = 2 0 −1≤ t < 0 0 < t < 2, otherwise x₂ (t) = u(t) - u(t - 2). Find the convolution x₁(t) * x₂(t). (5 marks) (10 marks) (15 marks)

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