Efficient filtering structure for spline interpolation and decimation. Issue 1 (1st January 2016)

• Record Type: Journal Article
• Authors: Lamb, D.; Chamon, L.F.O.; Nascimento, V.H.
• Is Part Of: Electronics letters. Volume 52:Issue 1(2016)
• Page Start: 39
• Page End: 41
• Publication Date: 2016-01-01
• Subjects: splines (mathematics) -- interpolation -- delay filters -- transfer functions -- frequency response -- state‐space methods -- Newton method; spline interpolation -- decimation -- spline‐based fractional delay filtering -- Newton structure -- Lagrange interpolation -- Farrow implementation -- frequency response characteristics -- Farrow transfer function -- state‐space transformation -- Lagrange‐Farrow structure -- spline polynomial -- Newton‐like spline filtering method; Electronics -- Periodicals; 621.381
• DOI: 10.1049/el.2015.1957
• Languages: English
• ISSNs: 0013-5194

Abstract

Abstract : 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.