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Signals & SystemsZ-Transform

The Z-transform of a^n u[n] is?

  • A1/(1-az^-1), ROC |z|>|a|
  • B1/(1+az^-1), ROC |z|<|a|
  • Cz-a, all z
  • Da/(z+1), all z
Report an error
Correct Answer: A. 1/(1-az^-1), ROC |z|>|a|
Explanation: For the right-sided sequence a^n u[n], the geometric series gives X(z)=1/(1-az^-1) with ROC |z|>|a|.
Reference: Standard signals and systems: z-transform
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