Open AccessEfficient filtering structure for spline interpolation and decimation
Author(s) -
Lamb D.,
Chamon L.F.O.,
Nascimento V.H.
Publication year - 2016
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/el.2015.1957
Subject(s) - decimation , spline interpolation , spline (mechanical) , lagrange polynomial , mathematics , thin plate spline , algorithm , interpolation (computer graphics) , polynomial interpolation , digital filter , mathematical optimization , computer science , filter (signal processing) , polynomial , mathematical analysis , bilinear interpolation , artificial intelligence , engineering , computer vision , motion (physics) , statistics , structural engineering
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.