fig4 a and 4b and equ 5 may be regarded as oversampled by a factor of two fig6 displays the additional effect upon the transformed data of fig5 when downsampling by 2 is applied prior to the dft the reduction of spectral width is expressly indicated on the abscissa fig6 b uses downsampled non precharged data as used in fig6 a except that the data is leftshiftdisplaced toward the time origin prior to the application of the dft thus while no post processing phase correction would need to be employed spectral artifacts remain the empirical simulation employs equation 2 to obtain the first n 1 2 52 points of the precharged data table this data table can be expressed as equ2 the data in equation 7 are digitally filtered and downsampled and the result of the application of of the dft without any subsequent post processing is displayed in fig7 a and 7b comparison of fig7 a and 7b with fig4 a and 4b demonstrates that the present invention is capable of providing effective real time digital filter processing with acceptable fidelity to the 34 actual 34 spectral distribution the same procedures which have been described above in respect to the controlled data of a simulation experiment have been applied to acquisition of nmr data from actual spectrometer operation in this discussion the ordinary procedures for initializing the instrument at the system level are well recognized by one of ordinary skill and are neither within the scope of the invention nor bear upon the efficacy of the procedures for processing measured data which constitute the invention first consider a.