ENTREGA_Tema1
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Sistemas y Circuitos Curso Académico 2009−2010 Segunda Entrega de Problemas Tema 1: Señales. Apellidos y Nombre 1: _____________________________________________________________ Apellidos y Nombre 2: _____________________________________________________________
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Ejemplo:
1 2
1
t
x(t)
1 2 t-1-2
1/2
x tpar ( )
x timpar ( )
1 2 t-1
-2
1/2
-1/2
Señal
Parte Par
Parte Impar
CUESTIÓN 1:
1 2
1
t3 4
2
x(t)
1/2
Señal
Parte Par
Parte Impar
Pág. 2
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CUESTIÓN 2:
3
4-3
-4
1
n 1 2-1-2. . .. . .
-1
[ ]x n
22
-1
5
-5
1
Señal
Parte Par
Parte Impar
Pág. 3
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CUESTIÓN 3:
1
2
4
4
5 9
1
x(t)
t
)t(x
( ) 15t2x2 ++⋅− ( ) ( ) ( )⎥
⎦
⎤⎢⎣
⎡−δ⋅+⎟
⎠⎞
⎜⎝⎛ +δ−δ⋅+ 2t3
21tt5tx
[ ])12t(u)6t(u222tx2 −−−⋅⎥
⎦
⎤⎢⎣
⎡−⎟
⎠⎞
⎜⎝⎛ −⋅
Pág. 4
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CUESTIÓN 4:
3 4
-3-4
1
n 1 2-1-2. . .. . .
[ ]x n
-1
5
-5
1/21/2
-1/2
[ ]nx [ ]4nx − [ ]n3x − [ ]n3x
3 4
-3-4
1
n 1 2-1-2. . .. . .
[ ]x n
-1
5
-5
1/21/2
-1/2
[ ]nx [ ]1n3x + [ ] [ ]n3unx −⋅ [ ] [ ]2n2nx −δ⋅−
3 4
-3-4
1
n 1 2-1-2. . .. . .
[ ]x n
-1
5
-5
1/21/2
-1/2
[ ]nx [ ] [ ]nx)1(nx n21
21 ⋅−⋅+⋅ [ ]2)1n(x −
Pág. 5
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Pág. 6