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Example: Upsampling by 2

For $ N=2$ , upsampling (stretching) by 2 can be expressed as
$ y=[x_0,0,x_1,0,\ldots]$ , so that

$\displaystyle Y(z) \eqsp X(z^2) \eqsp \hbox{\sc Repeat}_2(X),$ (12.2)

as discussed more fully in §2.3.11.

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Example: Downsampling by 2