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:
“The circumstances of human society are too complicated to be submitted to the rigour of mathematical calculation.”
—Marquis De Custine (1790–1857)
“The loosening, for some people, of rigid role definitions for men and women has shown that dads can be great at calming babies—if they take the time and make the effort to learn how. It’s that time and effort that not only teaches the dad how to calm the babies, but also turns him into a parent, just as the time and effort the mother puts into the babies turns her into a parent.”
—Pamela Patrick Novotny (20th century)