An adaptive synchronization device for demodulating a signal in linear modulation, the device comprising at least a set of synchronization modules, the device being characterized in that it comprises an initialization module for initializing parameters of a set of synchronization modules, said set of synchronization modules including: - at least a first synchronization module comprising: ∘ at least one first sub-module (F n) arranged to deliver a first output signal ( y) from the input signal (x) received at a rhythm less than the value 1 B with the bandwidth of the input signal ( x), this first sub-module (F n) being capable of compensating a transmission delay of the input signal ( x) by estimation of the propagation delay ( τ) between a transmitter and a receiver of a transmission medium; ∘ at least one second sub-module (F u) arranged to deliver an instant corrective (δ τ) to be applied to the current estimation of the delay ( τ), from a second error term ( w) for considering the influence of the processing downstream of the first sub-module (F n); - at least a second synchronization module, for the correction of transmission imperfections, disposed downstream of the first synchronization module and forming a correction chain of transmission imperfections of the first output signal ( y) received by said second synchronization module at the rhythm, and comprising: ∘ at least a first sub-module (H n) arranged to deliver a second output signal ( z) at the rhythm estimating a stream of emitted symbols (a i), said first sub-module being configured to adapt the rate at its output to one sample per symbol, said first-sub-module further being able to proceed as the identity function; ∘ at least a second sub-module (H p) configured to deliver the second error term ( w) by performing an executable code to correct a first error term ( v) related to the estimation of symbols, so as to consider the influence of the processings included in the first sub-module (H n), said second sub-module further being able to proceed as the identity function. the device further comprising a module for estimating a signal ( u) of streams of symbols emitted by non-linear processing and from the second output signal ( z) and a module for the rectification and alignment of the propagation delay (τ) by performing an executable code to apply the corrective term (δτ) to synchronize the input signal ( x) with the first output signal ( y) by cancelling a transmission delay of said input signal (x) between a transmitter and a receiver of a transmission medium. - at least a first synchronization module comprising: ∘ at least one first sub-module (F n) arranged to deliver a first output signal ( y) from the input signal (x) received at a rhythm less than the value 1 B with the bandwidth of the input signal ( x), this first sub-module (F n) being capable of compensating a transmission delay of the input signal ( x) by estimation of the propagation delay ( τ) between a transmitter and a receiver of a transmission medium; ∘ at least one second sub-module (F u) arranged to deliver an instant corrective (δ τ) to be applied to the current estimation of the delay ( τ), from a second error term ( w) for considering the influence of the processing downstream of the first sub-module (F n); ∘ at least one first sub-module (F n) arranged to deliver a first output signal ( y) from the input signal (x) received at a rhythm less than the value 1 B with the bandwidth of the input signal ( x), this first sub-module (F n) being capable of compensating a transmission delay of the input signal ( x) by estimation of the propagation delay ( τ) between a transmitter and a receiver of a transmission medium; ∘ at least one second sub-module (F u) arranged to deliver an instant corrective (δ τ) to be applied to the current estimation of the delay ( τ), from a second error term ( w) for considering the influence of the processing downstream of the first sub-module (F n); - at least a second synchronization module, for the correction of transmission imperfections, disposed downstream of the first synchronization module and forming a correction chain of transmission imperfections of the first output signal ( y) received by said second synchronization module at the rhythm, and comprising: ∘ at least a first sub-module (H n) arranged to deliver a second output signal ( z) at the rhythm estimating a stream of emitted symbols (a i), said first sub-module being configured to adapt the rate at its output to one sample per symbol, said first-sub-module further being able to proceed as the identity function; ∘ at least a second sub-module (H p) configured to deliver the second error term ( w) by performing an executable code to correct a first error term ( v) related to the estimation of symbols, so as to consider the influence of the processings included in the first sub-module (H n), said second sub-module further being able to proceed as the identity function. ∘ at least a first sub-module (H n) arranged to deliver a second output signal ( z) at the rhythm estimating a stream of emitted symbols (a i), said first sub-module being configured to adapt the rate at its output to one sample per symbol, said first-sub-module further being able to proceed as the identity function; ∘ at least a second sub-module (H p) configured to deliver the second error term ( w) by performing an executable code to correct a first error term ( v) related to the estimation of symbols, so as to consider the influence of the processings included in the first sub-module (H n), said second sub-module further being able to proceed as the identity function.