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a) X [ z ]= z−2(2 z−3 ) (2 z+1 )
→p ( z )=z−2q ( z )= (2 z−3 ) (2 z+1 )
C eros: Son los valores de z quehacenque p ( z )=0Po los :Son los valores de z quehacenque q ( z )=0
Ceros p(z)z−2=0→z=2
Polos q(z)
(2 z−3 )=0→2 z=3→z=32
(2 z+1 )=0→2 z=−1→z=−12
b)X [ z ]= (z−2 ) (2 z−3 )
z−1( 1z−1)
=z ( z−2 ) (2 z−3 )
( 1z−1)→
p ( z )=z ( z−2 ) (2 z−3 )q ( z )=( 1z−1)
C eros: Son los valores de z quehacenque p ( z )=0Po los :Son los valores de z quehacenque q ( z )=0
Ceros p(z)
z=0 ; ( z−2 )=0→z=2; (2 z−3 )=0→2 z=3→z=32
Polos q(z)
( 1z−1)=0→ 1z=1→z=1
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