### Abstract

The purpose of this paper is to propose an algorithm for active noise control (ANC) using the recursive least squares (RLS) algorithm. As a main algorithm for ANC, the multiple error filtered-x LMS (Mefx-LMS) algorithm has been used for its simplicity. However, the Mefx-LMS algorithm has a problem of the convergence speed in the case of the broadband noise as the road noise which is one of the passenger compartment noises in a car running on rough roads. This problem is caused by the ill-conditioning of the input autocorrelation matrix. In the ANC for the road noise, many accelerometers used as the input signals are necessary for a high multiple coherence. Using many input signals also causes a cross-correlation among the input signals. The ill-conditioning is mainly brouht about by the cross-correlation. In order to solve this problem, the Mefx-RLS algorithm is considered. By computer simulations, the RLS algorithm has proved to be more effective than the LMS algorithm in the convergence speed for cross-correlated input signals.

Original language | English |
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Pages (from-to) | 78-84 |

Number of pages | 7 |

Journal | transactions of the japan society of mechanical engineers series c |

Volume | 61 |

Issue number | 581 |

DOIs | |

Publication status | Published - 1995 Jan 1 |

Externally published | Yes |

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### Keywords

- Active Noise Control
- Automobile
- Ill-conditioning
- LMS Algorithm
- RLS Algorithm
- Road Noise

### ASJC Scopus subject areas

- Mechanics of Materials
- Mechanical Engineering
- Industrial and Manufacturing Engineering

### Cite this

*transactions of the japan society of mechanical engineers series c*,

*61*(581), 78-84. https://doi.org/10.1299/kikaic.61.78