Real time data compression is dependent on more than just which MCU you are using. The answer can change depending on many factors including
Sampling rate
Data type ex. (uint32 vs int32)
Signal type ex. (audio vs EEG)
Desired compression percentage
Importance of decompression vs compression efficiency
How much loss you can afford
Because of the number of cases, it will be hard to expect a good answer here. Especially without specific application info. I would recommend starting some private research on the topic or finding a consultant to get you started.
