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:
“We have good reason to believe that memories of early childhood do not persist in consciousness because of the absence or fragmentary character of language covering this period. Words serve as fixatives for mental images. . . . Even at the end of the second year of life when word tags exist for a number of objects in the childs life, these words are discrete and do not yet bind together the parts of an experience or organize them in a way that can produce a coherent memory.”
—Selma H. Fraiberg (20th century)
“Things base and vile, holding no quantity,
Love can transpose to form and dignity.
Love looks not with the eyes, but with the mind,
And therefore is winged Cupid painted blind.”
—William Shakespeare (15641616)