Abstract
The traditional mean squared error (MSE) criterion can be formulated as a quadratic function of a vector of control filter coefficients, and it is easy to obtain optimal control filter coefficients. Although the MSE criterion can lead to noise reductions in the control area, an unpredictable directional residual sound field is generated. In this paper, we propose a method for multi-channel active harmonic noise control with a local minimax error criterion based on the Nelder–Mead algorithm, which leads to reductions at all error positions and greater reductions at controllable positions. Directional noise reduction experiments of two areas are presented for two different error criteria at discrete locations in an anechoic chamber. Compared with a system employing the traditional MSE criterion, the results show that an active noise control system with the proposed criterion can achieve extra reductions at specified locations and overall noise reductions at the same time. The present research offers some important insights into directional control.
Highlights
Acoustic noise problems are very serious as more noise sources, such as car engines, fans, transformers, and compressors, emerge
We introduce a local minimax error based on the Nelder–Mead algorithm as a new criterion
An experimental evaluation of the Active noise control (ANC) system based on the two criteria is presented
Summary
Acoustic noise problems are very serious as more noise sources, such as car engines, fans, transformers, and compressors, emerge. Noise control technology can be divided into two categories: passive and active noise control [1]. Passive control, such as enclosures, barriers, and silencers, are no longer practically effective at low frequencies. Active noise control (ANC) can offset the primary noise source, by adding a secondary source, which has an equal amplitude and opposite phase at the control point based on the principle of superposition. ANC has shown the great control performance at low frequencies. Studies have shown that ANC can be used to control the noise associated with air-craft fuselages, automobile interiors, and open windows [2,3,4,5,6,7]
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