Tabla de Transformada Z
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xs xt x kT oxk xz 1. Delta de Kronecker 0 k 1, 0 k 0, 0 k 1 2. 0 n k 1, 0 k 0, 0 k k z 3. 1 s 1 t 1 k 1 1 1 z 4. 1 s a at e akT e 1 1 1 aT e z 5. 2 1 s t kT 1 2 1 1 Tz z 6. 3 2 s 2 t 2 kT 2 1 1 3 1 1 1 Tz z z 7. 4 6 s 3 t 3 kT 3 1 1 2 4 1 1 4 1 Tz z z z 8. a ss a 1 at e 1 akT e 1 1 1 1 1 1 aT aT e z z e z 9. b a s a s b at bt e e akT bkT e e 1 1 1 1 1 aT bt aT bT e e z e z e z 10. 2 1 s a at te akT kTe 1 2 1 1 aT aT Te z e z 11. 2 s s a 1 at at e 1 akT akT e 1 2 1 1 1 1 aT aT aT e z e z 12. 3 2 s a 2 at te 2 akT kT e 2 1 1 3 1 1 1 aT aT aT Te e z z e z 13. 2 2 a s s a 1 at at e 1 akT akT e 1 1 2 1 1 1 1 1 1 aT aT aT aT aT e e aTe z z z e z 14. 2 2 s sen t sen kT 1 1 2 1 2 cos z sen T z T z
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Tabla de transformada Z
Transcript of Tabla de Transformada Z
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x s x t x kT o x k x z
1.
Delta de Kronecker 0 k 1, 0k
0, 0k
1
2.
0 n k 1, 0k
0, 0k
kz
3. 1
s 1 t 1 k
1
1
1 z
4. 1
s a ate akTe 1
1
1 aTe z
5. 2
1
s t kT
1
211
Tz
z
6. 3
2
s 2t
2kT
2 1 1
31
1
1
T z z
z
7. 4
6
s 3t
3kT
3 1 1 2
41
1 4
1
T z z z
z
8. a
s s a 1 ate 1 akTe
1
1 1
1
1 1
aT
aT
e z
z e z
9.
b a
s a s b
at bte e akT bkTe e
1
1 11 1
aT bt
aT bT
e e z
e z e z
10.
2
1
s a atte akTkTe
1
211
aT
aT
Te z
e z
11.
2
s
s a 1 atat e 1 akTakT e
1
21
1 1
1
aT
aT
aT e z
e z
12.
3
2
s a 2 att e
2 akTkT e
2 1 1
31
1
1
aT aT
aT
T e e z z
e z
13.
2
2
a
s s a 1 atat e 1 akTakT e
1 1
21 1
1 1
1 1
aT aT aT
aT
aT e e aTe z z
z e z
14. 2 2s
sen t sen kT
1
1 21 2 cos
z sen T
z T z
-
15. 2 2
s
s cos t cos kT
1
1 2
1 cos
1 2 cos
z T
z T z
16.
2 2s a
ate sen t akTe sen kT
1
1 2 21 2 cos
aT
aT aT
e z sen T
e z T e z
17.
2 2
s a
s a
cosate t cosakTe kT
1
1 2 2
1 cos
1 2 cos
aT
aT aT
e z T
e z T e z
18. ka 11
1 az
19. 1ka
1,2,3,...k
1
11
z
az
20. 1kka
1
211
z
az
21. 2 1kk a
1 1
31
1
1
z az
az
22. 3 1kk a
1 1 2 2
41
1 4
1
z az a z
az
23. 4 1kk a
1 1 2 2 3 3
51
1 11 11
1
z az a z a z
az
24. coska k 1
1
1 az
25. 12!
k k
2
311
z
z
26.
1 ... 2
1 !
k k k m
m
1
11
m
m
z
z
27. 212!
kk k a
2
311
z
az
28.
11 ... 2
1 !
k mk k k m am
1
11
m
m
z
az
