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access icon free Efficient filtering structure for spline interpolation and decimation

An efficient structure for spline-based fractional delay filtering for interpolation/decimation is introduced. Inspired by the Newton structures for Lagrange interpolation, it requires less than half the number of operations of a typical Farrow implementation. Moreover, it displays better frequency response characteristics than Lagrange-based filters. To obtain this structure, a matrix form of the Farrow transfer function is proposed and used to derive state-space transformations between the Lagrange-Farrow structure and its Newton counterpart. These transformations are then applied to the spline polynomial, giving rise to the efficient Newton-like spline filtering method.

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http://iet.metastore.ingenta.com/content/journals/10.1049/el.2015.1957
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