Howtosignalprocessing
- What is infinite signal?
- Can an energy signal have infinite duration?
- What does finite duration mean?
- What is finite duration sequence?
What is infinite signal?
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. Right-sided, Left-sided, and Two-sided Signals The terms apply only to infinite duration signals.
Can an energy signal have 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.
What does finite duration mean?
adj. 1 bounded in magnitude or spatial or temporal extent.
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.
