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:
“The mastery of ones phonemes may be compared to the violinists mastery of fingering. The violin string lends itself to a continuous gradation of tones, but the musician learns the discrete intervals at which to stop the string in order to play the conventional notes. We sound our phonemes like poor violinists, approximating each time to a fancied norm, and we receive our neighbors renderings indulgently, mentally rectifying the more glaring inaccuracies.”
—W.V. Quine (b. 1908)
“A criminal trial is like a Russian novel: it starts with exasperating slowness as the characters are introduced to a jury, then there are complications in the form of minor witnesses, the protagonist finally appears and contradictions arise to produce drama, and finally as both jury and spectators grow weary and confused the pace quickens, reaching its climax in passionate final argument.”
—Clifford Irving (b. 1930)