Abstract: Method of adaptive differential pulse code modulation, ADPCM, which fundamentally satisfies the recommendations G.726 or G.727 of the CCITT, being implemented in an ADPCM encoder whereby, given an input sample, a quantified difference signal (DQ) is obtained by subtracting from the input sample an estimated value of this sample, the estimated signal (SE), whereby a feedback loop is formed which includes a prediction module (27). The prediction module (27) calculates, in the preceding frame, the estimated signal (SE) and a partial estimated signal of the sixth order prediction for the current frame sample. Consequently these operations are carried out in parallel with other of the algorithm, resulting in an overall speeding up of the encoding process.