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