Consider a right-sided sequence x[n] with z-transform 1 X(z) = 1 ( 1 - 2 z-1 )(I - z-1)

Chapter 10, Problem 10.25

(choose chapter or problem)

Consider a right-sided sequence x[n] with z-transform 1 X(z) = 1 ( 1 - 2 z-1 )(I - z-1) (P10.25-1) (a) Carry out a partial-fraction expansion of eq. (P10.25-1) expressed as a ratio of polynomials in z- 1, and from this expansion, determine x[n]. (b) Rewrite eq. (P10.25-1) as a ratio of polynomials in z, and carry out a partialfraction expansion of X(z) expressed in terms of polynomials in z. From this expansion, determine x[n], and demonstrate that the sequence obtained is identical to that obtained in part (a).

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