The fourier transform of a "boxcar" (or "rectangular") function is a
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The rectangular function r e c t ( t ) , t ∈ R , {\displaystyle \scriptstyle \mathrm {rect} (t),\,t\,\in \,\mathbb {R} ,\,} (also known as the rectangle function, rect function, Pi function, gate function, unit pulse, or the normalized boxcar function) is defined as.
The rectangular function r e c t ( t ) , t ∈ R , {\displaystyle \scriptstyle \mathrm {rect} (t),\,t\,\in \,\mathbb {R} ,\,} (also known as the rectangle function, rect function, Pi function, gate function, unit pulse, or the normalized boxcar function) is defined as.
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