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

![]() ![]() |
(B.33) |
From this, the scaling theorem implies the more general case:
![]() ![]() |
(B.34) |
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Sinc Impulse
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Gaussian Pulse