In a transmission system only part of the signal samples of series of transmit signal samples is transmitted by the transmitter (2) to a receiver (6) over a channel (4). In addition, a number of characteristic parameters of the series of signal samples are determined in the transmitter by characterization means (12) and transmitted to the receiver. The characteristic parameters are used at the receiver end (6) for reconstructing the missing signal samples. This is effected by assignin g to the missing signal samples a value, so that the series of signal samples is described in the best way possible by the characteristic parameters. It appears that if periodicities having a period longer than the time duration of the series of signal samples occur, the reconstruction of the signal samples is accompanied by a considerable interpolation error. By determining this period in the transmitter (2), transmitting same over the channel (4) to the receiver (6) and introducing this periodicity in the receiver (6) by period introducing means (18) in the reconstructed sequence of signal samples, the interpolation error may be reduced considerably. IMAGE
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