DATA INTERPOLATING DEVICE AND METHOD, SAMPLING FUNCTION GENERATING DEVICE, DATA INTERPOLATING PROGRAM, AND RECORDED MEDIUM

A data interpolating device comprises plural stages of delay circuits (1−1, 2−1, 3−1) for delaying discrete data sequentially inputted and multiplication/addition circuits (4−1 to 16−1) that performs weighted addition of data outputted from the output stages of the plural stages of delay circuits (1−1, 2−1, 3−1) according to the value of a digital basic function (−1, 1, 8, 8, 1, −1) and thereby determine interpolation data. Since a sampling function of finite supports differentiable once or more times over the whole range.