Examveda

The z-transform of the discrete time signal x(n) = u(n)*u(n) with '*' being convolution is

A. $$\frac{1}{{{{\left[ {1 - {z^{ - 1}}} \right]}^2}}},\,{\text{ROC}}:\left| z \right| < 1$$

B. $$\frac{1}{{{{\left[ {1 - {z^{ - 1}}} \right]}^2}}}{\text{,}}\,{\text{ROC}}:\left| z \right| > 1$$

C. $$\frac{1}{{{{\left[ {1 - z} \right]}^2}}}{\text{,}}\,{\text{ROC}}:\left| z \right| > 1$$

D. $$\frac{1}{{{{\left[ {1 - z} \right]}^2}}}{\text{,}}\,{\text{ROC}}:\left| z \right| < 1$$

Answer: Option B


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