Abstract: A telecommunication arrangement with modems (MCO; MCPE) having a receiving module (URx; DRx) able to receive channels of signals via a communication line (LN). The arrangement preferably operates according to the xDSL protocol. The receiving module of each modem is associated to storage means (USN, DSN; LDN) storing a “channel condition model” corresponding to operational conditions of the channel, preferably to the “worst case”. The channel condition model is determined by previously measured operational conditions of this channel and/or by a channel condition model managed externally to the modem, and which is stored in the storage means before the initialization of the modem. In different variants, the channel condition model is a model of the noise level, the signal-to-noise ratio, the actual or the maximum bitloading (bi) per carrier of the channel and/or mathematical operations on these. The channel condition model is further updated at regular time intervals during initialization or showtime.