[linux-audio-dev] Noise reduction with FFT

I've got this really noisy audio file I'm trying to clean up, and I was thinking, it would be really cool if I could run a clip of the file that was just the noise(it's a recording of a discussion for a TV broadcast, so when no one's talking, it should be silent) and have the program output an average frequency content, in some sort of format that another program could take it as input and create a filter that would filter out those frequencies. It seems like brutefir would be able to do the latter part, but is there a way to automatically generate the filter definition from the frequency content of a file? Is this a feasable method of noise reduction? If it seems like it could work, but there isn't a program to do it, I would be interested in writing it, if anyone has any input. Thanks! -spencer