Title :
An Efficient Structure for the Design of Variable Fractional Delay Filters Based on the Windowing Method
Author_Institution :
Dept. of Phys., Univ. of Alicante, Alicante
Abstract :
A variable fractional delay (VFD) filter is presented that constitutes an efficient alternative to the usual Farrow structure. The filter is constructed by multiplying the signal to interpolate by a window with proper truncation properties, and then applying the sampling theorem. The resulting interpolator involves less arithmetic operations than the existing variants of the Farrow structure. Besides, if its coefficients are numerically optimized, its performance is close to that of the FIR equi-ripple filter. The final part of the correspondence includes a description of the VFD filter implementation corresponding to this interpolator.
Keywords :
FIR filters; filtering theory; interpolation; sampling methods; FIR equiripple filter; Farrow structure; VFD filter; sampling theorem; variable fractional delay filters; windowing method; Arithmetic; Delay; Digital filters; Finite impulse response filter; Interpolation; Lagrangian functions; Polynomials; Sampling methods; Signal design; Signal processing; Bandlimited signals; Farrow structure; Lagrange polynomial; Lagrange-type variable fractional delay (VFD) filter; VFD digital filter; interpolation;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2008.920148