The rectangle function is a function which is 0 outside the interval and unity inside it. It is also called
the Gate Function, Pulse Function, or Window Function, and is defined by

(1) |

(2) | |||

(3) | |||

(4) | |||

(5) |

where is the Heaviside Step Function. The Fourier Transform of the rectangle function is given by

(6) |

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1999-05-25