FIR approximation of fractional sample delay systems

Author

Kootsookos, Peter J. ; Williamson, Robert C.

Author_Institution

Dept. of Eng., Australian Nat. Univ., Canberra, ACT, Australia

Volume

43

Issue

3

fYear

1996

fDate

3/1/1996 12:00:00 AM

Firstpage

269

Lastpage

271

Abstract

This brief examines the approximation of fractional delays by FIR systems using various techniques which have previously been reported in the literature. In particular, the equivalence of the time-domain Lagrangian interpolation, the frequency-domain maximally flat error criterion and the window method is shown, provided maximal flatness is specified at ω₀=0 and the window used is a scaled binomial function. The first of these has been known before, the second equivalence is new

Keywords

FIR filters; array signal processing; binomial distribution; delay circuits; discrete time filters; frequency-domain analysis; interpolation; signal sampling; time-domain analysis; FIR approximation; discrete time FIR filters; discrete time signals; fractional delays; fractional sample delay systems; frequency-domain maximally flat error criterion; maximal flatness; scaled binomial function; sensor array beamforming; time-domain Lagrangian interpolation; window method; Australia Council; Delay systems; Filter bank; Finite impulse response filter; Frequency response; H infinity control; Interpolation; Lagrangian functions; Sampling methods; Sensor arrays;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.486473

Filename

486473