5. Consider a system S with input x[n] and output y[n]. This system is obtained through a series
interconnection of a system S1 followed by a system S2. The input-output relationships for S 1
and S2 are
S, Y,[n] = 2x[n] + 4x[n-1]
S2: Y [n] = x2[n-2] +0.5x2[n-3]
where x1 [n] and x2 [n] denote input signals.
(a) Determine the input-output relationship for system S.
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