Unit ramp function and parabolic function

Unit Ramp Function

A discrete unit ramp function can be defined as −

r(n)={n,0,forn≥0forn<0$$r(n)=\{\begin{array}{ll}n,& forn\ge 0\\ 0,& forn<0\end{array}$$

The figure given above shows the graphical representation of a discrete ramp signal.

Parabolic Function

Discrete unit parabolic function is denoted as p(n) and can be defined as;

p(n)={n22,0,forn≥0forn<0$$p(n)=\{\begin{array}{ll}\frac{n^2}{2},& forn\ge 0\\ 0,& forn<0\end{array}$$

In terms of unit step function it can be written as;

P(n)=n22U(n)$$P(n)=\frac{n^2}{2}U(n)$$

The figure given above shows the graphical representation of a parabolic sequence.