I wonder what the maximum bitrate of an audio cassette is, using modern encoding techniques like OFDM with error correction? I searched once, and saw estimates in the 25 kbps range, but no usable implementation.
The maximum channel capacity for a cassette can be calculated using Shannon's Theorem [4]: C = B*log2(S/N+1)
Cheap and cheerful (S/N=50dB, B=12kHz): C= 199kbit/s
Mid range (S/N=58dB, B=16kHz): C= 297kbit/s
Hi Fi (S/N=67dB, B=19kHz): C= 422kbit/s
Modern coding (LPDC) can achieve within a fraction of a dB of the Shannon Bound, so those numbers will be close to what a state-of-the-art encoding could do with a cassette. (A new hobby for someone?)
[1] http://www.tapeheads.net/showthread.php?t=35390
[2] http://www.muzines.co.uk/articles/choosing-a-cassette-tape/1...
[3] https://arstechnica.com/civis/viewtopic.php?t=848978
[3] https://en.wikipedia.org/wiki/Shannon%E2%80%93Hartley_theore...
Edit: Here's a dose of reality from another forum:
https://dsp.stackexchange.com/questions/70700/why-can-so-lit...
My guess is the the Shannon based predictions are realistic, as they are lower than the same rates as achieved by specialised data recording systems. They are also a bit better than what a narrow band radio system can achieve, and a cassette will be a better channel than a typical radio channel.