Z变换

序号	序列 \(f(k)\) , \(k \geq 0\)	Z变换 $ F(z) $	收敛域
1	\(\delta(k)\)	1	\(|z|\geq 0\)
2	\(u(k)\)	\(\frac{z}{z-1}\)	\(|z|> 1\)
3	\(a^k u(k)\)	\(\frac{z}{z-a}\)	\(|z|> a\)
4	\(k u(k)\)	\(\frac{z}{(z-1)^2}\)	\(|z|> 1\)
5	\(\cos(\frac{\pi}{2} k u(k))\)	\(\frac{z}{z^2 + 1}\)	\(|z|> 1\)
6	\(\sin(\frac{\pi}{2} k u(k))\)	\(\frac{z}{z^2 + 1}\)	\(|z|> 1\)