Given the signals x[n] = 2 n (u[n] u[n 3]) and y[n] = 0.5 n

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Given the signals x[n] = 2n (u[n] − u[n − 3]) and  y[n] = 0.5n (u[n] − u[n − 3]) write a matrix equation to compute their circular convolution of lengths N = 3, 4, and 5. Call the results z[n],w[n],  and v[n], respectively. For which of these lengths does the circular and  the linear convolutions coincide? Explain.

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