Method for simplifying a filter and associated devices

A method for simplifying a sampled signal digital filter, the method including at least one step for:

• providing a filter comprising:
• first channels able to obtain a first output signal by carrying out first operations, and
• second channels able to obtain a second output signal by carrying out second operations, and
• a unit for recombination of the signals obtained at the output of the first channels and the second channels,
• the first operations and the second operations including at least one series of discrete nonstationary operations and stationary operations, the series pertaining to operations shared by the first and second operations, and
• in order to obtain a first intermediate filter, gathering channels including discrete nonstationary operations relating to the same signal, the first channels including the nonstationary operations relating to a first signal and the second channels including the nonstationary operations relating to a second signal,
• in order to obtain a second intermediate filter, on each of the first channels and second channels, commutative stationary operations with the nonstationary operations, in order to eliminate the redundant nonstationary operations, and
• building the filter corresponding to the last obtained intermediate filter.