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In mathematics, physics and engineering, the sinc function, denoted by sinc, has two forms, normalized and unnormalized.
In mathematics, the historical unnormalized sinc function is defined for x ≠ 0 by
Alternatively, the unnormalized sinc function is often called the sampling function, indicated as Sa.
In digital signal processing and information theory, the normalized sinc function is commonly defined for x ≠ 0 by
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