To filter a digital signal, in which, for each sample of the signal, a plurality of context functions take account of a predetermined number of other samples of the signal: the value of a context function from the plurality of context functions for each sample to be filtered is calculated; the signal is divided into a set of sub-signals corresponding respectively to the different values of the context functions; and, for each sub-signal: an optimal filter is determined according to a first criterion that depends on the values of the sub-signal; and the optimal filter is associated with the context function corresponding to the sub-signal.Application to the coding of a digital signal representing an image.