Fourier Transform--Rectangle Function

Let Pi(x) be the rectangle function, then the Fourier transform is

F_x[Pi(x)](k)=sinc(pik),

where sinc(x) is the sinc function.

See also

Fourier Transform, Rectangle Function, Sinc Function

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References

Bracewell, R. The Fourier Transform and Its Applications, 3rd ed. New York: McGraw-Hill, pp. 100-101, 1999.

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Fourier Transform--Rectangle Function

Cite this as:

Weisstein, Eric W. "Fourier Transform--Rectangle Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FourierTransformRectangleFunction.html

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