Iterative method for synthesizing digital filters for shaping a signal

An iterative method for synthesizing digital filters, the method comprising:

• generating an emission filter to be applied to a signal to be transmitted, and
• generating a reception filter to be applied to a received signal,
• wherein the method further comprises the following iteratively executed steps:
• a first convolution of the emission filter and the reception filter to generate a transmission filter,
• determination of a criterion representative of a level of intersymbol interference on the transmission filter, and
• if the level of intersymbol interference is higher than a given level,
• calculating an equalizing filter for the intersymbol interference, and
• replacing, at a next iteration, selectively either the emission filter with a second convolution of the emission filter and the equalizing filter or the reception filter with a third convolution of the reception filter and the equalizing filter,
• wherein a choice between replacing the emission filter with the second convolution of the emission filter and the equalizing filter or replacing the reception filter with the third convolution of the reception filter and the equalizing filter is done based on a proximity of the emission filter or the reception filter to a desired frequency template for the emission filter or the reception filter.