Howtosignalprocessing
- What is the Z transform of the finite duration signal?
- What is a finite duration signal?
- What is the ROC of a finite duration two sided sequence?
- What is the ROC of Z transform of a causal finite sequence?
What is the Z transform of the finite duration signal?
What is the ROC of z-transform of finite duration anti-causal sequence? Explanation: Let us an example of anti causal sequence whose z-transform will be in the form X(z)=1+z+z2 which has a finite value at all values of 'z' except at z=∞. So, ROC of an anti-causal sequence is entire z-plane except at z=∞.
What is a finite duration signal?
LINEAR SYSTEM. Finite vs. Infinite Duration Signals A discrete signal x[n] is finite duration if there exists two integers -∞ < N1 ≤ N2 < ∞, such that x[n] ≠ 0 only for N1 ≤ n ≤ N2. Otherwise, it is of infinite duration.
What is the ROC of a finite duration two sided sequence?
The ROC of a two-sided sequence is the entire z-plane except at 𝑧 = 0 and 𝑧 = ∞.
What is the ROC of Z transform of a causal finite sequence?
Properties of ROC of Z-Transforms
If x(n) is a finite duration causal sequence or right sided sequence, then the ROC is entire z-plane except at z = 0. If x(n) is a finite duration anti-causal sequence or left sided sequence, then the ROC is entire z-plane except at z = ∞.
