Ramp Function
RampFunction
The ramp function is defined by
where H(x) is the Heaviside step function and * denotes convolution.
It is implemented in the Wolfram Language as Ramp [x].
The derivative is
| R^'(x)=H(x). |
(5)
|
The Fourier transform of the ramp function is given by
F_x[R(x)](k) = [画像:int_(-infty)^inftye^(-2piikx)R(x)dx]
(6)
where delta(x) is the delta function and delta^'(x) its derivative.
See also
Fourier Transform--Ramp Function, Heaviside Step Function, Rectangle Function, Sawtooth Wave, Sign, Square WaveExplore with Wolfram|Alpha
WolframAlpha
Cite this as:
Weisstein, Eric W. "Ramp Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/RampFunction.html