MMSE- Channel estimated based - DFE Equalization
It seems that this PhD dissertation covers part of your question:
« Improved receivers for digital High Frequency communications: Iterative channel estimation, equalization, and decoding (adaptive turbo equalization)»
https://ntnuopen.ntnu.no/ntnu-xmlui/bitstream/handle/11250/249838/126139_FULLTEXT01.pdf?sequence=1&amp;isAllowed=y

Edit:
4.2 tapped delay line model, 4.11-4.13 relates the (complex baseband) tapped delay line to physical channel multipath. (p.p 57)