"1. Get a better, quieter fan that produces less noise to begin with.

2. Move the fan farther away. You don't necessarily need to filter the air from the window closest to you. Put it in a farther window. Or go all the way and get a whole house fan that puts the fan in the attic."

This might work for homeowners, but is an ineffective solution to renters like me. Our furnace/air conditioning blower is loud AF. The utility closet is next to the bedroom and it is nearly impossible to hear the TV when it is running. It is so loud that we even have to turn up the TV in the living room, around 25 feet (7m?) away and around two corners. I am CERTAIN that other renters, like myself, would like to know how to actually cancel out this droning nuisance via noise cancellation.