Data processing method

A data processing method for eliminating ringing, comprising:

• a filter-coefficient determining step, wherein a reference signal is inputted to a ringing-generating filter, the reference signal is divided into a peak region having a peak and a ringing region having ringing whose peaks are at error levels or lower, and a filter coefficient is determined from the reference signal according to a learning algorithm for minimizing a covariance of a peak signal in the peak region and a ringing signal in the ringing region;
• a ringing-generating step, wherein a signal, which contains a peak waveform and ringing, is inputted to the ringing-generating filter that uses the filter coefficient previously determined to generate an analogous waveform of the ringing superposed on the signal;
• and
• a subtracting step, in which the analogous waveform of the ringing generated in the ringing-generating step is subtracted from the signal to obtain a processed signal with a reduced magnitude of the ringing.

A data processing system for eliminating ringing, comprising:

• a filter-coefficient determiner, wherein the determiner has a reference signal entered into the ringing-generating filter, divides the reference signal into a peak region including a peak and a ringing region including ringing whose peaks are at error levels or lower, and determines a filter coefficient of the ringing-generating filter according to a learning algorithm for minimizing a covariance of a peak signal in the peak region and a ringing signal in the ringing region;
• a ringing-generating filter for receiving a signal, which contains a peak waveform and ringing, and using the filter coefficient previously determined to generate an analogous waveform of the ringing superposed on the signal;
• and
• a subtracting element for subtracting the analogous waveform of the ringing from the signal to obtain a processed signal with a reduced magnitude of the ringing.