Wireless digital communication method for the communication between two electronic devices (3, 16) of an industrial apparatus (1), including - encoding each bit of information by a respective sequence of a certain number (N) of pulses (25) that alternate with a corresponding number (N-1) of silence intervals (26), each pulse having a pulse duration (TI) shorter than or equal to ns and said silence intervals having respective silence durations (TSj) longer than or equal to 30 ns - transmitting, by a first electronic device, a radio signal (RS) comprising a plurality of radio pulses corresponding to the sequence of pulses without modulating any radio carrier, and - receiving and decoding, by the other electronic device, said radio signal to obtain said bit of information. The method may include additional steps for exchanging information between the electronic devices according to which one of the electronic devices, while in a stand-by state, transmits a request message, waits for a reply message from the other electronic device (if and when some conditions are complied with) and, upon receiving the reply message, switches to an operating state in which the two electronic devices are communicatively coupled to each other.