3.2 Determine the z-transforms c pole-zero patterns. (b) x(n) = (a" + a-}u(n), a re (u)ntu + 1) = u)x (e) %3D (u)n-ZulI-) = (1)x ())

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3.2 Determine the z-transforms of the following signals and sketch the corresponding
pole-zero patterns.
(b) x(n) = (a" + a-")u(n), a real
(u)n(u+I) = (u)x (e)
(u)n-ZulI-) = (1)x ()
(d) x(n) = (na" sin unn)u(n)
(e) x(n) (na" cos annlu(n)
() x(n) = Ar" cos(aon + ¢)u(n), 0 <r<1
(I- u)n-)(+ zu)} = (4)x (3)
|(01 – u)n – (1)n),(}) =
( u)x (4)
Transcribed Image Text:3.2 Determine the z-transforms of the following signals and sketch the corresponding pole-zero patterns. (b) x(n) = (a" + a-")u(n), a real (u)n(u+I) = (u)x (e) (u)n-ZulI-) = (1)x () (d) x(n) = (na" sin unn)u(n) (e) x(n) (na" cos annlu(n) () x(n) = Ar" cos(aon + ¢)u(n), 0 <r<1 (I- u)n-)(+ zu)} = (4)x (3) |(01 – u)n – (1)n),(}) = ( u)x (4)
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