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It is shown that polynomial prediction is equivalent to requiring that the transfer function of the predictor interpolates the 'prediction-function' ´Þµ Þ and its derivatives at Þ ½ . This result is generalized to all other linear filtering operations, including interpolation, differentiation and smoothing, and to all other narrowband signal models, i.e. polynomially modulated complex exponential signals. An algorithm for determining the coefficients of this type of FIR filters with minimumdoi:10.1109/icassp.2003.1201669 dblp:conf/icassp/Koppinen03 fatcat:io5wix2jyzhu5m4eo2akj5xkhi