My FT-920 has some modest noise cancellation tools, I gather the fairly normal ones for modern radios. An adjustable passband DSP filter, a noise blanker and a variable noise cancelling control. I'm looking in two different directions for how to improve this, as I might TX better than I RX, at the moment.
There's noise-removal software meant to improve voice clarity, but it's meant to work on audio noise, not radio noise, much less the static noise floor of lower bands.