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:
“Sometimes we sailed as gently and steadily as the clouds overhead, watching the receding shores and the motions of our sail; the play of its pulse so like our own lives, so thin and yet so full of life, so noiseless when it labored hardest, so noisy and impatient when least effective; now bending to some generous impulse of the breeze, and then fluttering and flapping with a kind of human suspense.”
—Henry David Thoreau (1817–1862)
“Perhaps nothing is so depressing an index of the inhumanity of the male-supremacist mentality as the fact that the more genial human traits are assigned to the underclass: affection, response to sympathy, kindness, cheerfulness.”
—Kate Millet (b. 1934)