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Consider two discrete-time signals:

$x_1(n)$={1,1} and $x_2(n)$={1,2} , for $n=0,1$.

The Z-transform of the convoluted sequence $x(n)=x_1(n)^*x_2(n)$ is

  1. $1+2z^{-1}+3z^{-2}$
  2. $z^2+3z+2$
  3. $1+3z^{-1}+2z^{-2}$
  4. $z^{-2}+3z^{-3}+2z^{-4}$
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