Then, the cause of the "noise" is the internal fan.....which is clogged with dust, or has a motor bearing problem.
When this occurs, the AirPort Extreme will start to overheat, which is no doubt why the amber light is blinking.
Apple will replace the AirPort for you....if it less than year old.....or.....if you have AppleCare in effect on one of your Macs, the AirPort is usually covered for up to three years from its purchase date. Check with Apple Support for all the details on extended coverage.
If the AirPort Extreme is not covered by warranty, about all that you can do at this point, is open up the AirPort and clean out the fan. Better yet, replace the fan. The following links will provide some tips:
AirPort Extreme A1521 Teardown - iFixit Original Apple Airport A1470 Time Capsule Cooling Fan 12v
Which model number of AirPort router do you have?
About how old is this device?
What version of AirPort Utility are you using on your Mac or PC?
I have the newest model which was purchased at launch. (The upright model as opposed to the flat one)
Also using the latest available software...
You my friend are a magnificent human being!!!
My Airport Extreme Router makes a funny "grinding" noise and yellow light continously blinks. Any help?
