Find the Z-transform of x(n) = a^|n|; |a|<1.
(a) \frac{z}{z-a} – \frac{z}{z-(1/a)}
(b) \frac{z}{z-(1/a)} – \frac{z}{z-a}
(c) \frac{z}{z-a} + \frac{z}{z-(1/a)}
(d) \frac{1}{z-a} – \frac{1}{z-(1/a)}
The question was posed to me in unit test.
I'd like to ask this question from The Z-Transform topic in section Z-Transform and Digital Filtering of Signals and Systems