Spectral ringing suppression and optimal windowing for attenuation and Q measurements
In the first part of this paper, briefly the appearance of the Gibbs phenomenon in a discrete Fourier transform and its removal is discussed. The data‐flipping method is then applied to suppress the ringing effect in the spectral ratios for a more accurate measurement of attenuation and Q from seismic or acoustic waves. Such a measurement is invariant to velocity change. The second part concerns optimal windowing of wave modes. Data flipping makes measurement less sensitive to window length. A floating‐length window designed to pick up first arrivals cycle by cycle improves the result. A pickup of the first arrival up to the trough of the second cycle, instead of only to the zero‐line before the trough of the second cycle, gives much better attenuation and Q estimates.