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:
“In life, then, no new thing has ever arisen, or can arise, save out of the impulse of the male upon the female, the female upon the male. The interaction of the male and female spirit begot the wheel, the plough, and the first utterance that was made on the face of the earth.”
—D.H. (David Herbert)
“What I’m saying is that a lot of behavior that you are talking about is a direct response of people not having a future, or feeling that they don’t have a future.”
—William Julius Wilson (b. 1935)