A theoretical study of the discretization of the boundary surface in the boundary surface control principle

[摘要] References(6)On the basis of the boundary surface control (BSC) principle, it is possible to control the sound field within a volume by controlling the sound pressure and particle velocity on a surface. It is, however, impossible to realize an active noise control (ANC) system, which controls both the sound pressure and particle velocity at all points on the surface. Therefore, we have to control these at discrete points on the surface. In conventional numerical studies, it is known that the discretization of the surface decreases the effectiveness of the ANC system. To determine the amount of discretization, which is equal to the number of error sensors, we have to know the relationship between the discretization of the surface and the effectiveness of the ANC system quantitatively. In this study, we aim to establish a method of quantifying the relationship between the discretization of the surface and the control effectiveness in the ANC system on the basis of the BSC principle. Furthermore, we derive the arrangement of the error sensors required to obtain a desired effectiveness within a circular area using the derived equation.

[学科分类] 声学和超声波

[关键词] Active noise control;Boundary surface control principle;Quiet zone;Multiple-input/output inverse theorem;Diffused sound field