The sampling theorem was implied by the work of Harry Nyquist in 1928,  in which he showed that up to 2 B independent pulse samples could be sent through a system of bandwidth B ; but he did not explicitly consider the problem of sampling and reconstruction of continuous signals. About the same time, Karl Küpfmüller showed a similar result,  and discussed the sinc-function impulse response of a band-limiting filter, via its integral, the step response Integralsinus ; this bandlimiting and reconstruction filter that is so central to the sampling theorem is sometimes referred to as a Küpfmüller filter (but seldom so in English).
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