Content deleted Content added
Importing Wikidata short description: "Frameworks for modeling variables that evolve over time" (Shortdesc helper) |
Fgnievinski (talk | contribs) |
||
Line 28:
A typical example of an infinite duration signal is:
:<math>f(t) = \sin(t), \quad t \in \mathbb{R}</math>
A finite duration counterpart of the above signal could be:
:<math>f(t) = \sin(t), \quad t \in [-\pi,\pi]</math> and <math>f(t) = 0</math> otherwise.
The value of a finite (or infinite) duration signal may or may not be finite. For example,
:<math>f(t) = \frac{1}{t}, \quad t \in [0,1]</math> and <math>f(t) = 0</math> otherwise,
is a finite duration signal but it takes an infinite value for <math>t = 0\,</math>.
| |||