Correct Answer - Option 3 : z
-k X(z)
Definition:
Z transform is defined as
\(X\left( z \right) = \mathop \sum \limits_{ - \infty }^\infty x\left[ n \right]{z^{ - n}}\)
Time-shifting:
If X(z) is a z transform of x(n), then the z transform of x(n – n0) is,
\(x\left( {n - {n_0}} \right) \leftrightarrow {z^{ - {n_0}}}X\left( z \right)\)
Analysis:
\(x\left( {n - {k}} \right) \leftrightarrow {z^{ - {k}}}X\left( z \right)\)