1.

The z – transform of a sequence \(x\left[ n \right]\) is given as \(X\left( z \right){\rm{\;}} = {\rm{\;}}2z + 4-4/z + 3/{z^2}\). if y[n] is the first difference of \(x\left[ n \right]\), then \(Y\left( z \right)\) is given by

A. \(2z + 2 - 8/z + 7/{z^2} - 3/{z^3}\)
B. \(- 2z + 2 - 6/z + 1{z^2} - 3/{z^3}\)
C. \(- 2z - 2 + 8/z - 7/{z^2} + 3/{z^3}\)
D. \(4z - 2 - 8/z - 1/{z^2} + 3/{z^3}\)
Answer» B. \(- 2z + 2 - 6/z + 1{z^2} - 3/{z^3}\)


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