The invention concerns a process for reducing redundancy during the coding of multichannel signals, the digital signals being predicted. A prediction error is determined which is then quantized and prepared for transmission via a transmission section. During the process, prediction is carried out in a linear and reverse-adaptive manner for at least two channels simultaneously. The statistical dependencies of the signals in a channel and between at least two channels are taken into consideration. The invention further concerns a device for decoding redundancy-reduced multichannel signals. The device comprises a linear, reverse-adaptive predictor (43) for at least two channels.