The time-varying impulse response h(t2,t1) of a linear system is defined as the response of the system at time t = t2 to a single impulse applied at time t = t1. In other words, if the input x(t) to a linear system is
where δ(t) represents the Dirac delta function, and the corresponding response y(t) of the system is
then the function h(t2,t1) is the time-varying impulse response of the system.
Read more about this topic: Linear System
Famous quotes containing the words impulse and/or response:
“The impulse to perfection cannot exist where the definition of perfection is the arbitrary decision of authority. That which is born in loneliness and from the heart cannot be defended against the judgment of a committee of sycophants. The volatile essences which make literature cannot survive the clichés of a long series of story conferences.”
—Raymond Chandler (1888–1959)
“Women had to deal with the men’s response when the women wanted more time “out” of the home; men now must deal with the women’s response as men want more time “in.””
—Kyle D. Pruett (20th century)