Finite

Finite duration vs infinite duration sequences?

Finite duration vs infinite duration sequences?
  1. What is finite duration sequence?
  2. What does finite duration mean?
  3. What is the ROC of a finite duration two sided sequence?
  4. Does an energy signal have an infinite duration?

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 a finite duration two sided sequence?

The ROC of a two-sided sequence is the entire z-plane except at 𝑧 = 0 and 𝑧 = ∞.

Does an energy signal have an infinite duration?

An energy signal has finite energy E, so its average power P (which is averaged over an infinite duration T) must be zero. A power signal has finite average power P, so its energy E must be infinite. Periodic signals are power signals.

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