Discrete Form
An alternative form of the unit step, as a function of a discrete variable n:
where n is an integer. Unlike the usual (not discrete) case, the definition of H is significant.
The discrete-time unit impulse is the first difference of the discrete-time step
This function is the cumulative summation of the Kronecker delta:
where
is the discrete unit impulse function.
Read more about this topic: Heaviside Step Function
Famous quotes containing the words discrete and/or form:
“One can describe a landscape in many different words and sentences, but one would not normally cut up a picture of a landscape and rearrange it in different patterns in order to describe it in different ways. Because a photograph is not composed of discrete units strung out in a linear row of meaningful pieces, we do not understand it by looking at one element after another in a set sequence. The photograph is understood in one act of seeing; it is perceived in a gestalt.”
—Joshua Meyrowitz, U.S. educator, media critic. The Blurring of Public and Private Behaviors, No Sense of Place: The Impact of Electronic Media on Social Behavior, Oxford University Press (1985)
“The playing adult steps sideward into another reality; the playing child advances forward to new stages of mastery....Childs play is the infantile form of the human ability to deal with experience by creating model situations and to master reality by experiment and planning.”
—Erik H. Erikson (20th century)