A method for bioelectric physiological signal acquisition comprising:/a/ providing an autonomous bioelectric physiological signal acquisition device (1) comprising an electrode (3) and an acquisition chain associated to the electrode,/b/ acquiring an analog signal representative of a bioelectric physiological signal with the electrode,/c/ amplifying the analog signal by an amplification factor by means of a programmable analog amplifier of the acquisition chain (5),/d/ converting said amplified analog signal in a digital signal by means of an analog digital converter (7) of the acquisition chain,/e/ processing the digital signal to determine whether the digital signal is considered saturated,if the digital signal is considered saturated,/f/ selecting, in a list of predefined amplification factors, an amplification factor lower than the amplification factor currently applied to the digital signal by the programmable analog amplifier (6), and/g/ updating the amplification factor of the programmable analog amplifier to the selected amplification factor.