A method is devoted to the transmission, via a wave-based transmission infrastructure (RC) using an access method relying on multiplexing that is at least time division multiplexing, of content from at least one channel, each piece of content being arranged into one base data layer and at least one enhancement data layer, respectively associated with different transmission time slices, and broken down into portions transmitted during the time slices respectively associated with their layers. This method comprises i) the insertion, in a chosen location of each portion of a base data layer to be transmitted, within a chosen network layer, of at least one learning sequence processed according to a configuration scheme identical to that used to process the enhancement data layer, and ii) upon receiving a portion of a base data layer of a piece of content within a terminal (TC), extracting the learning sequence inserted into a chosen network layer, then estimating the reception quality based on that extracted learning sequence, and allowing it to use the next portion of the content's the enhancement data layer whenever the estimated quality is above a chosen threshold.