This paper describes the implementation of the pure absorption ALPESTRE processing of 2D homonuclear J-resolved NMR spectra. The method relies on the computation of the missing information at negative evolution times by means of backward linear prediction. The paper also shows that resolution can be improved by application of time-symmetric apodization functions. The resulting spectra clearly display negative peaks at F2 chemical shifts that correspond to strong coupling artifacts, thus making it possible to identify them as such. The processing scripts are freely available for downloading, use and modification. Copyright © 2012 John Wiley & Sons, Ltd.