Title :
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
fDate :
3/1/1996 12:00:00 AM
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;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
