Signal

ROC of Z Transform of $x(n) = 2(3)^nu(-n)$

ROC of Z Transform of $x(n) = 2(3)^nu(-n)$
  1. How do you calculate ROC Z transform?
  2. What is the ROC of the Z transform of the signal x n )= an u n )+ BN U (- n 1 )?
  3. What is the ROC of Δ N )?
  4. What is the Z transform of the signal x n )= n an u n?

How do you calculate ROC Z transform?

ROC of z-transform is indicated with circle in z-plane. ROC does not contain any poles. If x(n) is a finite duration causal sequence or right sided sequence, then the ROC is entire z-plane except at z = 0.

What is the ROC of the Z transform of the signal x n )= an u n )+ BN U (- n 1 )?

What is the ROC of the z-transform of the signal x(n)= anu(n)+bnu(-n-1)? Explanation: We know that, ROC of z-transform of anu(n) is |z|>|a|. ROC of z-transform of bnu(-n-1) is |z|<|b|.

What is the ROC of Δ N )?

For a two-sided signal, the ROC is between the two circles (poles) but does not contain any pole. For finite duration absolutely summable signal, the ROC is the entire Z-plane except possibly for Z = 0 or Z = ∞. For discrete-time Dicea delta function δ(n), the ROC in the entire z plane.

What is the Z transform of the signal x n )= n an u n?

Calculation: Given signal, x(n) = an u(n) The z-transform of the above-given signal is given by. X ( z ) = ∑ n = − ∞ ∞ ⁡

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