Question: The rectangular function is often defined as where it is set equal to 1/2 at the discontinuities (Fig. P.11.14). Determine the Fourier transform of Notice

The rectangular function is often defined as

|(x – xo)/a| > ! |(x – xo)/a| |(x – xo)/a| < } 0, rect 1,

where it is set equal to 1/2 at the discontinuities (Fig. P.11.14). Determine the Fourier transform of

f(x) х — хо rect

Notice that this is just a rectangular pulse, like that in Fig. 11.1b, shifted a distance x0 from the origin.

Fig 11.1b

|(x xo)/a| > ! |(x xo)/a| |(x xo)/a| < } 0, rect

Fig. P.11.14

1, f(x) rect

|(x xo)/a| > ! |(x xo)/a| |(x xo)/a| < } 0, rect 1, f(x) rect

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