Speaker
Description
Discrete Fourier methods have the known Gibbs phenomenon problematic due to their limited time window. A solution to this problem has been apodisation, a truncation of the time window that softens the edges. Still, due to discretisation such methods are imperfect, here reported Fourier apodisation aleviating this aspect. Although Fourier-space apodisation is known, no consistent approach exists to date, that eliminates exactly spectrum leakage tails. Our FoxLima discrete Fourier transform package, fielding these methods, has been adapted to design a wavelet digital filter with this type of Fourier-space apodisation. We report the performance of this filter on neutron noise simulated data.
Summary
Discrete Fourier methods have the known Gibbs phenomenon problematic due to their limited time window. A solution to this problem has been apodisation, a truncation of the time window that softens the edges. Still, due to discretisation such methods are imperfect, here reported Fourier apodisation aleviating this aspect. Although Fourier-space apodisation is known, no consistent approach exists to date, that eliminates exactly spectrum leakage tails. Our FoxLima discrete Fourier transform package, fielding these methods, has been adapted to design a wavelet digital filter with this type of Fourier-space apodisation. We report the performance of this filter on neutron noise simulated data.