In the parallel-to-serial converter of Figure 8.25, see also Figure 8.18, assume \(M=2\) and \(N=3\) and that the input signals are given by

\[\begin{aligned}& x_{1}(n)=0,0, a \\& x_{2}(n)=b,c, d \\& x_{3}(n)=e,f, g \\& x_{4}(n)=h, i, 0 .\end{aligned}\]

Determine the output sequence.

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Fig. 8.18. x(n) x(m) x(m) xo(m) x(m) M XM-1(m) n=0 x(n)|z XM-1(m) IM (a) x(m) x(m) x(n) xo(m) M x(m) == M XM-1(m) in=0 (b) Commutator models for: (a) decimation; (b) interpolation. XM-1(m) x(n) M