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Efficient Algorithms and Structures for Fractional Delay Filtering Based on Lagrange Interpolation

Fractional delay filters, which allow for delays that are not aligned at samples values, are important in many signal processing algorithms. Lagrange interpolation is frequently used for this purpose in situations where delay values change frequently, because filter coefficients can be calculated from explicit formulas. The large number of algorithms for Lagrange interpolation necessitates an analysis of their computational effort. A novel structure that is efficient, scalable, and well suited for parallel hardware or software implementation is described.

 

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