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Causal & Non-casual Systems
Casual System
Casual system is a system where the output $ y(t) $ at some specific instant $ t_0 $ only depends on the input $ x(t) $ for value of $ t $ less than or equal to $ t_0 $.
Example
Memoryless system
- $ y \left( t \right) = 1 + x \left( t \right) \cos \left( \omega t \right) $
Non-casual System
Non-casual system is a system that has some dependence on input values from the future (in addition to possible dependence on past or current input values).
Example
- $ y(t)=\int_{-\infty}^{\infty } \sin (t+\tau) x(\tau)\,d\tau $
