When Shannon stated and proved the sampling theorem in his 1949 paper, according to Meijering " he referred to the critical sampling interval " T " = 1 / ( 2 " W " ) as the " Nyquist interval " corresponding to the band " W ", in recognition of Nyquist s discovery of the fundamental importance of this interval in connection with telegraphy . " This explains Nyquist's name on the critical interval, but not on the theorem.