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boxcar function
In mathematics, a boxcar function is any function which is zero over the entire
real line except for a single interval where it is equal to a constant, ''A''. The boxcar function can be expressed in terms of the uniform distribution as
:
where ''f(a,b;x)'' is the uniform distribution of ''x'' for the interval (''b'' ) and 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 impulse response of a filter, the result is a moving average filter.
The function is named after its resemblance to a boxcar, a type of railroad car.
==See also==
* Rectangular function
* Step function
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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