For the discrete-time signals x[n] and v[n] given in each of the following parts, compute the convolution x[n] * v[n] for n ≥ 0 [compute x[n] * v[n] for n ≥ −2 in part (b)]. 1, x[3] = -1, x[n] = 0 for all other integers n; v[0] 1, v[1] = -2, = −4, v[n] = 0 for all other integers n. (a) x[0] = 4, x[1] = v[2] = 3, v[3] (b) x[n] = 1 for −1≤ n ≤ 2 and x[n] = 0 for all other integers n; v[-1] = -1; v[0] = 0, v[1] = 8, v[2] = 2, v[3] = 3 and v[n] = 0 for all other integers n.

Q1.1. Plot the following discrete-time signal for −2 ≤ n ≤ 2x[n] = 2-nu[n] + n2u[n+2] -delta[n-2]  2. Plot the following continuous-time signal for −1 ≤ t ≤ 2pi x(t) = 1 - t2 when(t < 0) and e-tcos(t) when (t >= 0)   Plot with justifications and reasons without MATLAB please

Analogue 2

Use Mason’s gain formula to simplify the block diagram shown below to a single fraction C(s)/R(s).  Please show your work Simplify to one polynomial divided by another polynomial.