There are, but I think the idea here is “the more the merrier”.
FreeCalypso does and is audittable, but it's licencing situation is murky at best. It's based on leaked Texas Instruments sources with a gpl licence stuck on top. But Calypso is essentially abandonware and TI got out of the GSM modem biz in early 2000's so they apparently don't care.
For LTE there's srsUE from Software Radio Systems, but it's a 100% SDR implementation that does not fot any phone and is more of a lab and research tool. But it is open and audittable.