Let *x*_{1}(*n*) = sin (*nω*)*u*(*n*). Now we can write

The given expression is *x*(*n*) = *a ^{n}*cos (

∴ *X*(*z*) = *Z*[*a ^{n}x*

Using scaling property, we can write

Hence, the obtained *z*-transformation pair is

Table 6.1 gives the standard *z*-transform pairs.

**Table 6.1** Standard *z*-transform pairs.

**Example 6.4** Find the *z*-transform of the following signal with the help of linearity and ...

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