How to draw a finite-duration sequence

1. What is finite duration sequence?
2. What does finite duration mean?
3. What is the ROC of Z transform of a causal finite sequence?

What is finite duration sequence?

A finite-duration sequence is a sequence that is nonzero in a finite interval n1≤n≤n2. As long as each value of x[n] is finite then the sequence will be absolutely summable. When n2>0 there will be a z−1 term and thus the ROC will not include z=0.

What does finite duration mean?

adj. 1 bounded in magnitude or spatial or temporal extent.

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 = ∞.