Can I use my Mac to re-create an inverted audio noise cancellation effect?

I would like to use my Mac as an audio cancelling device, like headphones that reproduce the outside noise in inverted form, so it cancels out (typically found in airports). With a normal pair of headphones, my Mac could record the ambient noise and send it to my headphones to achieve noise reduction.

Is there a program able to do this?

Solution 1:

Audacity can do this as far as I know. There is a White Noise generator, and under the Effects menu there is a "Noise Removal" option.

I don't know if you can do it in realtime, but you could make a short recording of the ambient noise, run the Noise Removal, figure out what got removed (subtract before and after), and then play that part but inverted. Maybe....