Rectangular function
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The rect function has been introduced 1953 by Woodwardcite-ref-6[6] in "Probability and Information Theory, with Applications to Radar"cite-ref-7[7] as an ideal cutout operator, together with the sinc functioncite-ref-8[8]cite-ref-9[9] as an ideal interpolation operator, and their counter operations which are sampling (comb operator) and replicating (rep operator), respectively.
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