Transformada Z e Laplace

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J-1
Laplace Transform Time Function z-Transform
1 Unit impulse �(t) 1
Unit step us(t)
t
e��t
te��t
1 � e��t
sin �t
e��t sin �t
cos �t
e��t cos �t
z2 � ze�aT cos vT
z2 � 2ze�aT cos vT � e�2aT
s � a
1s � a22 � v2
z1z � cos vT 2
z2 � 2z cos vT � 1
s
s2 � v2
ze�aT sin vT
z2 � 2ze�aT cos vT � e�2aT
v
1s � a22 � v2
z sin vT
z2 � 2z cos vT � 1
v
s2 � v2
11 � e�aT 2z
1z � 12 1z � e�aT 2
a
s1s � a2
Tze�aT
1z � e�aT22
1
1s � a22
z
z � e�aT
1
s � a
lim
aS0
 
1�12n
n!
 
0n
0an
 c z
z � e�aT
dtn
n!
1
sn�1
T 2z1z � 12
21z � 123
t2
2
1
s3
Tz
1z � 122
1
s2
z
z � 1
dT 1t2 � a
�
n�0
 d1t � nT 21
1 � e�Ts
z
z � 1
1
s
J�APPENDIX
z-Transform Table