## Rectangular Pulse

The *rectangular pulse* of width
centered on time 0 may be
defined by

(B.31) |

Its Fourier transform is easily evaluated:

Thus, we have derived the Fourier pair

Note that

**sinc**is the Fourier transform of the one-second rectangular pulse:

sinc | (B.33) |

From this, the scaling theorem implies the more general case:

sinc | (B.34) |

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Sinc Impulse

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Gaussian Pulse