ERROR ESTIMATES FOR FINITE ZERO-FILLING IN FOURIER-TRANSFORM SPECTROMETRY

A systematic procedure Is developed for estimating the maximum peak height error and the maximum frequency error which results from Fourier transformation of a zero-filled, truncated, exponentially damped sinusoid. The errors are functions of the number of zero-filllngs and the ratio of the acquisition period to the relaxation time of the sinusoid. The error estimates are given in both analytical form and graphical form for both absorption mode and magnitude mode Fourier transform spectra. It is concluded that four zero-fillings for the absorption mode and three zero-fillings for the magnitude mode will usually suffice to reduce the peak height error to less than 2%. Applications to Fourier transform nuclear magnetic resonance spectrometry and Fourier transform ion cyclotron resonance spectrometry are briefly discussed. © 1979, American Chemical Society. All rights reserved.