Digital signals are transmitted as bits/bytes, whether online to the computer or smartphone, via the internet or through the ether, to digital radio's.
In networking and digital telecommunications, bit rate refers to the per-second measurement of data that passes through a communications network. In this context, bit rate is synonymous with data-transfer rate
Sound quality, at a given bitrate, depends on codec settings and codec quality.
A codec is a compression method and some codecs cut out information and fill it out with extra 'artificial' treble, which sounds awful.
So, you have the minefield of lower bitrate transmissions, which are cheaper to broadcast and the compression codecs which are also a mixed feast.
The original version of DAB used the MP2 audio codec.
The new DAB+ codec 'AAC' (advanced audio coding) is more sophisticated.
AAC is just a different name for MPEG-4 audio.
Listening to the radio over the internet can provide improved sound quality, when compared to DAB. Several stations use the more efficient AAC codec and some of them broadcast at 256 kbps or above, to achieve superior sound quality, when broadcasting online.
BBC radio 3 transmission is usually of much better quality online (computer or smartphone) because 'lossless' compression is used, radio transmissions are compressed using 'Lossy' codecs as bandwidth is restricted, owing to cost factors.
That is my rudimentary understanding, as a bare novice. There are many more layers of complexity which I am not prepared to entertain but anyone with more information is welcome to comment further.
