OpenLTE (Wikipedia)
https://en.wikipedia.org/wiki/OpenLTE
OpenLTE (Technical Page, SourceForge)
http://openlte.sourceforge.net/
SourceForge OpenLTE Wiki, installing:
https://sourceforge.net/p/openlte/wiki/Installing%20OpenLTE/
"FPGA Implementation of LTE Downlink Transceiver with Synchronization and Equalization":
https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.69...
EETimes, "Implementing LTE on FPGAs":
https://www.eetimes.com/implementing-lte-on-fpgas/#
Also interesting is doing a Google query with "FPGA" and "LTE" and/or "OpenLTE" as the search parameters:
https://www.google.com/search?q=FPGA+and+%28LTE+or+OpenLTE%2...
(Also note that GNU Radio: (https://www.gnuradio.org/about/) and SDR:(https://en.wikipedia.org/wiki/Software-defined_radio) -- are related topics that may contain some overlapping areas of interest...)