Method for normalizing the power of an electrical signal, termed original acoustic signal, a plurality of channels each being associated with an original acoustic signal, said method including the steps consisting in: - detecting the envelope of the original acoustic signal so as to obtain an envelope signal, - comparing the value of the gain of the envelope signal with a threshold value, - calculating a gain signal on the basis of this comparison, - delaying the original acoustic signal by a delay so as to obtain a delayed original acoustic signal, - smoothing the gain signal in order to obtain a smoothed gain signal, the gain signal and the smoothed gain signal being sampled, - the smoothed gain value of rank n (smooth(n)) being equal to the sum of the smoothed gain value of rank n-1 (smooth(n-1)) and the subtraction between the current gain value of rank n (curr(n)) and the smoothed gain value of rank n-1, this subtraction being weighted by a smoothing value, - said smoothing value being between 0.90 and 0.98 if the current gain value (curr(n)) is lower than the previous smoothed gain value (smooth(n-1)), - said smoothing value being between 0.00001 and 0.00002 if the current gain value is higher than the previous smoothed gain value, - recording the minimum value of the smoothed gain signal (Gmin), which value is applied to the delayed original acoustic signal of the current channel upon a change of channel so as to subsequently be able to reload it, - the value of the gain signal applied to the delayed original acoustic signal of the channel being equal, upon a new selection of the channel, to the sum of the minimum value, recorded beforehand and termed static value, of the gain signal and a dynamic gain value, - the value of the dynamic gain signal being calculated on the basis of the comparison between the power value of the envelope signal of the channel minus the power corresponding to the static gain and the threshold value, and - applying the smoothed gain signal to the delayed original acoustic signal so as to obtain a normalized acoustic signal having a power close to the threshold value. - detecting the envelope of the original acoustic signal so as to obtain an envelope signal, - comparing the value of the gain of the envelope signal with a threshold value, - calculating a gain signal on the basis of this comparison, - delaying the original acoustic signal by a delay so as to obtain a delayed original acoustic signal, - smoothing the gain signal in order to obtain a smoothed gain signal, the gain signal and the smoothed gain signal being sampled, - the smoothed gain value of rank n (smooth(n)) being equal to the sum of the smoothed gain value of rank n-1 (smooth(n-1)) and the subtraction between the current gain value of rank n (curr(n)) and the smoothed gain value of rank n-1, this subtraction being weighted by a smoothing value, - said smoothing value being between 0.90 and 0.98 if the current gain value (curr(n)) is lower than the previous smoothed gain value (smooth(n-1)), - said smoothing value being between 0.00001 and 0.00002 if the current gain value is higher than the previous smoothed gain value, - the smoothed gain value of rank n (smooth(n)) being equal to the sum of the smoothed gain value of rank n-1 (smooth(n-1)) and the subtraction between the current gain value of rank n (curr(n)) and the smoothed gain value of rank n-1, this subtraction being weighted by a smoothing value, - said smoothing value being between 0.90 and 0.98 if the current gain value (curr(n)) is lower than the previous smoothed gain value (smooth(n-1)), - said smoothing value being between 0.00001 and 0.00002 if the current gain value is higher than the previous smoothed gain value, - recording the minimum value of the smoothed gain signal (Gmin), which value is applied to the delayed original acoustic signal of the current channel upon a change of channel so as to subsequently be able to reload it, - the value of the gain signal applied to the delayed original acoustic signal of the channel being equal, upon a new selection of the channel, to the sum of the minimum value, recorded beforehand and termed static value, of the gain signal and a dynamic gain value, - the value of the dynamic gain signal being calculated on the basis of the comparison between the power value of the envelope signal of the channel minus the power corresponding to the static gain and the threshold value, and - applying the smoothed gain signal to the delayed original acoustic signal so as to obtain a normalized acoustic signal having a power close to the threshold value.