A method of operating a high-resolution NMR spectrometer comprising a DDS generator containing an NCOL for generating an LO frequency, wherein the frequency of the NCOL is defined by inputting a numerical value Z, is characterized in that this numerical value Z may assume only values which satisfy the equation Z=n.N/m, wherein Z, n, N, and m are integer and positive numbers, N is a power of 2 with a positive integer exponent, wherein said exponent represents the maximum number of bits during the calculation process, m is approximately 2.fs/DELTAB, n approximately m.fout/fs and m additionally a common integer divisor of n.N and fs is the clock frequency of the NCOL, DELTAB is the desired bandwidth with high spectral purity and fout is the output frequency of the NCOL. This method allows the use of a DDS generator even in the case where very high spectral purity is required, wherein in particular quantization noise is largely eliminated over the frequency range relevant for NMR measurements.