## Rectangle Function

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)

The function has height , center , and full-width . Identities satisfied by the rectangle function include
 (2) (3) (4) (5)

where is the Heaviside Step Function. The Fourier Transform of the rectangle function is given by
 (6)

where is the Sinc Function.