Method for managing the energy consumed by a radio module contained in a peripheral, the peripheral being intended to be associated with a centralized device and to receive data frames from the centralized device, the data frames being composed of a preamble and of at least one data packet, characterized in that the method comprises the steps of: - the peripheral placing the peripheral in a so-called association mode where the peripheral is in a configuration in which it is awaiting a configuration frame from the centralized device, - the peripheral supplying electrical energy to at least all or some of the active components of the receiving chain of the radio module with a periodicity which is equal to a first duration, for a predetermined second duration, - the peripheral maintaining the electric power supply to the radio module for receiving at least one data packet if part of the preamble is detected over the predetermined second duration, and interrupting the electrical energy supply to at least all or some of the active components of the radio module with a periodicity which is equal to a multiple, which is greater than or equal to two, of the first duration if part of the preamble is not detected over the predetermined second duration, - the peripheral maintaining, for the duration of sending a data frame to the centralized device, the electric power supply to the radio module if part of the preamble is detected, - the peripheral interrupting the electric power supply to the radio module for receiving at least one data packet if part of the preamble is not detected over the predetermined second duration with a periodicity which is equal to the first duration, and the start-up instant, when the electric power supply to the radio module for receiving at least one data packet with a periodicity which is equal to a multiple, which is greater than or equal to two, of the first duration is interrupted, takes place on the basis of the determination of the middle of the duration of the preamble, - the centralized device incrementing or decrementing the value of the multiple of the first duration if two consecutive data frames are not received from the peripheral by the centralized device in response to two consecutive data frames transmitted by the centralized device. - the peripheral placing the peripheral in a so-called association mode where the peripheral is in a configuration in which it is awaiting a configuration frame from the centralized device, - the peripheral supplying electrical energy to at least all or some of the active components of the receiving chain of the radio module with a periodicity which is equal to a first duration, for a predetermined second duration, - the peripheral maintaining the electric power supply to the radio module for receiving at least one data packet if part of the preamble is detected over the predetermined second duration, and interrupting the electrical energy supply to at least all or some of the active components of the radio module with a periodicity which is equal to a multiple, which is greater than or equal to two, of the first duration if part of the preamble is not detected over the predetermined second duration, - the peripheral maintaining, for the duration of sending a data frame to the centralized device, the electric power supply to the radio module if part of the preamble is detected, - the peripheral interrupting the electric power supply to the radio module for receiving at least one data packet if part of the preamble is not detected over the predetermined second duration with a periodicity which is equal to the first duration, and the start-up instant, when the electric power supply to the radio module for receiving at least one data packet with a periodicity which is equal to a multiple, which is greater than or equal to two, of the first duration is interrupted, takes place on the basis of the determination of the middle of the duration of the preamble, - the centralized device incrementing or decrementing the value of the multiple of the first duration if two consecutive data frames are not received from the peripheral by the centralized device in response to two consecutive data frames transmitted by the centralized device.