High Quality Content by WIKIPEDIA articles! In mathematics, the sinc function, denoted by sinc(x) and sometimes as Sa(x), has two definitions. In digital signal processing and information theory, the normalized sinc function is commonly defined by mathrm{sinc}(x) = frac{sin(pi x)}{pi x}.,! It is called normalized because its Fourier transform is the rectangular function and its square integral is unity. In mathematics, the historical unnormalized sinc function is defined by mathrm{sinc}(x) = frac{sin(x)}{x}.,! In both cases, the value of the function at the removable singularity at zero is sometimes specified explicitly as the limit value 1. The sinc function is analytic everywhere. The term "sinc" is a contraction of the function's full Latin name, the sinus cardinalis (cardinal sine).

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