A method for operating a magnetic resonance spectrometer with a digital filter whose input is fed with an NMR signal of a time length T.sub.A, and whose output signal consists of a rising oscillation B.sub.1 of a length T.sub.B, a signal portion [F]' which consists of a filtered FID or echo signal of the length T.sub.A and a decaying oscillation B.sub.2 of a length T.sub.B, wherein this output signal is initially modified using a calculation process RV, and is subsequently transformed by Fourier transformation to a desired NMR spectrum, is characterized in that, during the calculation process RV, only the signal portion [F]' is initially selected, at least N copies of the rising oscillation B.sub.1 are subsequently generated in positive time shifts T.sub.A with respect to each other and are positioned on the signal portion [F'] in time such that the end of the first rising oscillation is positioned at the end of the signal portion, at least N copies of the decaying oscillation B.sub.2 are generated in negative shifts T.sub.A and are positioned on the signal portion [F'] in time such that the start of the first decaying oscillation is positioned at the start of the signal portion [F'], and all N copies of the rising oscillation B.sub.1 defined in this manner and N copies of the decaying oscillation B.sub.2 defined in this manner are added to the signal portion [F'], and only the range T.sub.A thereof which contains the signal portion [F'] is selected as resulting signal F'' of the calculation process RV, wherein the number N is to be calculated using the formula N=T.sub.B/T.sub.A and rounded to the next higher integer number. This exactly compensates for the influence of the group delay time of digital, linear-phased filters in a mathematically exact manner.