these transmit the audio signal from the microphone via radio waves to a radio receiver which will convert it back to an audio signal
the transmission uses a high frequency carrier wave (eg. 433MHz, 2.4GHz) which is modulated such as by AM or FM
the microphone generally has a pre-amplifier, radio transmitter and an antenna
in a digital microphone, the audio analog signal is digitized and quantized before being sent to the radio transmitter which do not require an audio compressor (“compander”) and thus allows greater versatility and improved sound quality, especially for sources with more dynamic range or frequency range such as musical instruments rather than voice - for spoken voice, the sound quality difference between analog and digital is minimal. One of the downsides of digital is that they will introduce a small amount of latency and this will be additive to any system latency.
unlike analog, digital has near zero static or pops from degraded transmission quality but at some point it will just drop out completely
digital allows more channels in the same bandwidth