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its the combination of the 2 words annoying and noise thus being annoyed by noise ( i made up this word )
your sister : ( she is saying something in the background with high voice pitch)

you : stop annoising me ,go away / shut up
by electrosk January 01, 2011
Annoying noise
New Year's Eve blow horns are annoising!
by Pajamazon December 31, 2013