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:
“she drew back a while,
Then, yielding to the irresistible joy,
With frantic gesture and short breathless cry
Folded his frame in her dissolving arms.
Now blackness veiled his dizzy eyes, and night
Involved and swallowed up the vision; sleep,
Like a dark flood suspended in its course,
Rolled back its impulse on his vacant brain.”
—Percy Bysshe Shelley (1792–1822)
“... the most extreme conditions require the most extreme response, and for some individuals, the call to that response is vitality itself.... The integrity and self-esteem gained from winning the battle against extremity are the richest treasures in my life.”
—Diana Nyad (b. 1949)