Abstract
In order to control an acoustic field inside a target region, it is important to choose suitable positions of secondary sources (loudspeakers) and sensors (control points/microphones). This article provides an overview of state-of-the-art source and sensor placement methods in sound field control. Although the placement of both sources and sensors greatly affects control accuracy and filter stability, their joint optimization has not been thoroughly investigated in the acoustics literature. In this context, we reformulate five general source and/or sensor placement methods that can be applied for sound field control. We compare the performance of these methods through extensive numerical simulations in both narrowband and broadband scenarios.
Highlights
T HE aim of sound field control is to synthesize a desired sound field inside a target region
For ideal sound field control, the discretization of the boundary integrals involved in the pressure matching method based on the single-layer potential equation necessitates fine discretization of the boundary of the domain, which, often requires a high number of sources and control points, and in practice one must deal with limited hardware resources
Since the locations of both source and control points have a large impact on the performance, these positions must be optimized for specific environments and geometries
Summary
T HE aim of sound field control is to synthesize a desired sound field inside a target region. It is often necessary to cover the entire target region with high accuracy while using the smallest possible number of secondary sources and control points, since the measurement of transfer functions is costly and time-intensive. When the control points of the sound pressures are arranged on the boundary of an enclosed region, it is known that the sound field inside this region cannot be uniquely determined at several frequencies, leading to significant deterioration of the control accuracy [8]. This nonuniqueness property is called the forbidden frequency problem
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