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Continuous-time signal processing based on polynomial approximation

A new approach for continuous-time processing of a discrete-time signal is proposed. This approach is based on simple modifications of the Farrow structure, which is a polynomial-based interpolation technique employing discrete-time filters for enabling arbitrary resampling of a time series. In this paper, an extension of the Farrow structure for other time-domain operations used for signal analysis other than just interpolation is presented. Filter optimization and design examples corresponding to each application using the minimax optimization criterion are provided. Also, an illustrative example of the time-domain performance of this approach is given.