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Reverted good faith edits by MMmpds (talk): Unexplained change of technical notation. (TW)
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The interpolation formula is derived in the [[Nyquist–Shannon sampling theorem]] article, which points out that it can also be expressed as the [[convolution]] of an [[Dirac comb|infinite impulse train]] with a [[sinc function]]:
:<math> x(t) = \left( \sum_{n=-\infty}^{\infty} x[n]\cdot \delta \left( t - nT \right) \right)
{\rm sinc}\left(\frac{t}{T}\right). </math>
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