| \(\delta[n]\) |
\(1\) |
全平面 |
| \(u[n]\) |
\(\frac{1}{1 - z^{-1}}\) |
\(\|z\| > 1\) |
| \(a^n u[n]\) |
\(\frac{1}{1 - a z^{-1}}\) |
\(\|z\| > \|a\|\) |
| \(n u[n]\) |
\(\frac{z^{-1}}{(1 - z^{-1})^2}\) |
\(\|z\| > 1\) |
| \(n a^n u[n]\) |
\(\frac{a z^{-1}}{(1 - a z^{-1})^2}\) |
\(\|z\| > \|a\|\) |
| \(\cos(\omega n)u[n]\) |
\(\frac{1 - \cos\omega \, z^{-1}}{1 - 2\cos\omega \, z^{-1} + z^{-2}}\) |
\(\|z\| > 1\) |
| \(\sin(\omega n)u[n]\) |
\(\frac{\sin\omega \, z^{-1}}{1 - 2\cos\omega \, z^{-1} + z^{-2}}\) |
\(\|z\| > 1\) |
| \(a^n \cos(\omega n)u[n]\) |
\(\frac{1 - a\cos\omega \, z^{-1}}{1 - 2a\cos\omega \, z^{-1} + a^2 z^{-2}}\) |
\(\|z\| > \|a\|\) |
| \(a^n \sin(\omega n)u[n]\) |
\(\frac{a\sin\omega \, z^{-1}}{1 - 2a\cos\omega \, z^{-1} + a^2 z^{-2}}\) |
\(\|z\| > \|a\|\) |