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.[1] The function is named after its graph's resemblance to a boxcar, a type of railroad car. The boxcar function can be expressed in terms of the uniform distribution as
When a boxcar function is selected as the impulse response of a filter, the result is a simple moving average filter, whose frequency response is a sinc-in-frequency, a type of low-pass filter.
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Ball Hanging from Ceiling of Boxcar Part 1
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Tangent Line Approximations Part 2
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Fourier Series - Exercise 3 : Sawtooth-wave Function 2 หาอนุกรมฟูเรียร์ของสัญญาณฟันเลื่อย คือเข้าใจ
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See also
References
- ^ Weisstein, Eric W. "Boxcar Function". MathWorld. Retrieved 13 September 2013.