z变换表

z变换表

	X（s）	x(t)或x(k)	X(z)
1	1	δ(t)	1
2	e -kTs	δ(t-kT)	z-k
3	1/s	1(t)	z/(z-1)
4	1/s2	t	Tz/(z-1)2
5	1/(s+a)	e -at	Tz/(z-eaT)
6	a/(s+a)	1-e -at	(1-eaT)z/[(z-1)(z-eaT)]
7	ω/(s2+ω2)	sinωt	zsinωT/(z2-2zcosωT+1)
8	s/(s2+ω2)	cosωt	z(z-cosωt)/(z2-2zcosωT+1)
9	1/(s+a)2	Te-at	TzeaT/(z-eaT)2
10	ω/[(s+a)2+ω2]	e-atsinωt	zeaTsinωT/(z2-2ze-aTcosωt+e-2aT)
11	(s+a)/[(s+a)2+ω2]	e-atcosωt	(z2-zeaTcosωT)/(z2-2ze-aTcosωt+e-2aT)
12	1/s2	t2	T2z(z+1)/(z-1)2
13		ak	z/(z-a)
14		akcoskπ	z/(z+a)