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Design of Wideband Fractional Delay Filters Using Derivative Sampling Method

In this paper, the design of wideband fractional delay filter is investigated. First, the reconstruction formula of derivative sampling method is applied to design wideband fractional delay filter by using index substitution and window method. The filter coefficients are easily computed because closed-form design is obtained. Then, the weighted least squares method is used to design fixed and variable wideband fractional delay filters. Finally, numerical examples are demonstrated to show that the proposed method has smaller design error than the conventional fractional delay filter without sampling the derivative of signal.