Boxcar function

In

as where f(a,b;x) is the uniform distribution of x for the interval [a, b] and ${\displaystyle H(x)}$ is the Heaviside step function. As with most such discontinuous functions, there is a question of the value at the transition points. These values are probably best chosen for each individual application.

When a boxcar function is selected as the

.

See also

• Boxcar averager
• Rectangular function
• Step function
• Top-hat filter

References