A method for the design of Farrow-structure based variable fractional-delay FIR filters

Authors:
Amir Eghbali;HåKan Johansson;Tapio SaramäKi
Affiliations:
Division of Electronics Systems, Department of Electrical Engineering, Linköping University, Sweden;Division of Electronics Systems, Department of Electrical Engineering, Linköping University, Sweden;Department of Signal Processing, Tampere University of Technology, Finland
Venue:
Signal Processing
Year:
2013

Citing 8
Cited 1

On explicit time delay estimation using the Farrow structure

Signal Processing
Decimation by non-integer factor in multistandard radio receivers

Signal Processing
A generalized approach to the design of variable fractional-delay FIR digital filters

Signal Processing
Hybrid structures for low-complexity variable fractional-delay FIR filters

IEEE Transactions on Circuits and Systems Part I: Regular Papers
Reconstruction of nonuniformly sampled bandlimited signals by means of digital fractional delay filters

IEEE Transactions on Signal Processing
Weighted-Least-Squares Design of Variable Fractional-Delay FIR Filters Using Coefficient Symmetry

IEEE Transactions on Signal Processing
Closed-form design and efficient implementation of variable digital filters with simultaneously tunable magnitude and fractional delay

IEEE Transactions on Signal Processing
Sample rate conversion for software radio

IEEE Communications Magazine

A class of reconfigurable and low-complexity two-stage Nyquist filters

Signal Processing

Quantified Score

Hi-index	0.08

Visualization

Abstract

This paper proposes a method to design variable fractional-delay (FD) filters using the Farrow structure. In the transfer function of the Farrow structure, different subfilters are weighted by different powers of the FD value. As both the FD value and its powers are smaller than 0.5, our proposed method uses them as diminishing weighting functions. The approximation error, for each subfilter, is then increased in proportion to the power of the FD value. This gives a new distribution for the orders of the Farrow subfilters which has not been utilized before. This paper also includes these diminishing weighting functions in the filter design so as to obtain their optimal values, iteratively. We consider subfilters of both even and odd orders. Examples illustrate our proposed method and comparisons, to various earlier designs, show a reduction of the arithmetic complexity.