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:
“Public administrators would get along better if they would restrain the impulse to butt in or be dragged into trouble. They should remain silent until an issue is reduced to its lowest terms, until it boils down into something like a moral issue.”
—Calvin Coolidge (1872–1933)
“It’s given new meaning to me of the scientific term black hole.”
—Don Logan, U.S. businessman, president and chief executive of Time Inc. His response when asked how much his company had spent in the last year to develop Pathfinder, Time Inc.’S site on the World Wide Web. Quoted in New York Times, p. D7 (November 13, 1995)