1. A method for suppressing noise, the method comprising: receiving three or more acoustic signals in an audio device, the three or more acoustic signals including a primary acoustic signal, secondary acoustic signal, and tertiary acoustic signal; determining inter-microphone level difference (ILD) information via an inter-microphone level difference module from at least one pair comprising the tertiary and primary acoustic signals, and the tertiary and secondary acoustic signals; and performing noise cancellation on the primary acoustic signal including subtracting a noise component from the primary acoustic signal via a noise cancellation module, the noise component based at least in part on the ILD information.