Abstract

This paper discusses the reduction of noise in a cavity from a viewpoint of cluster control. First, cluster filtering that enables the extraction of desired control information out of a set of sound pressure sensor outputs is presented. Cluster actuation classified as the duality of cluster filtering is then proposed, whereby activating only the target cluster among an infinite number of acoustic modes of a cavity. Using both the cluster filtering and actuation, clustered active noise control (C-ANC) is proposed, permitting one to suppress the targeted cluster independently. In contrast to a MIMO system conventional ANC generates, a C-ANC system comprises SISO systems, thereby reducing computation load on control effort significantly. With a view to elucidating the validity as well as potential C-ANC possesses, a rectangular cavity is introduced as a target structure where eight sensors/sound sources are provided for cluster filtering/actuation. It is found that acoustic potential energy of the cavity is grouped into eight clusters due to the cluster filtering, each sub-potential energy being suppressed independently because of the cluster actuation without causing any spillover.

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