Mathematical Definitions
Definition 1: A system mapping to is causal if and only if, for any pair of input signals and such that
the corresponding outputs satisfy
Definition 2: Suppose is the impulse response of the system . (only fully accurate for a system described by linear constant coefficient differential equation)
then the system is causal, otherwise it is non-causal.
Read more about this topic: Causal System
Famous quotes containing the words mathematical and/or definitions:
“An accurate charting of the American womans progress through history might look more like a corkscrew tilted slightly to one side, its loops inching closer to the line of freedom with the passage of timebut like a mathematical curve approaching infinity, never touching its goal. . . . Each time, the spiral turns her back just short of the finish line.”
—Susan Faludi (20th century)
“What I do not like about our definitions of genius is that there is in them nothing of the day of judgment, nothing of resounding through eternity and nothing of the footsteps of the Almighty.”
—G.C. (Georg Christoph)