In a system for the transmission of high-definition television images comprising a stage for the transmission of encoded information representing said images and, after transmission by means of a limited pass-band analogue channel involving processing to reduce the quantity of information to be transmitted, a stage for the reception of the transmitted information characterized in that it comprises, in its decoding part, a device for reconstructing images itself comprising, in series, a spatial postfiltering circuit intended to undertake a spatial interpolation in the sequential images transmitted by the analogue channel a stage for the compensation of movement, a switch intended to deliver a succession of sequential images, and a format-conversion circuit for the transformation of said succession of sequential images into a succession of interlaced images ready to be visually displayed, said stage for the compensation of movement itself comprising two image memories in series for the storage of the images successively transmitted by the analogue channel and post-filtered and an adder to form the semi-sum of said transmitted images, and said switch receiving alternately, at a first input, the output of the said stage for the compensation of movement and, at a second input, the output of the said spatial post-filtering circuit by means of a delay circuit providing a delay equal to an interlacing period.