### 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 brought 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 |
---|---|

Pages (from-to) | 78-84 |

Number of pages | 7 |

Journal | Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C |

Volume | 61 |

Issue number | 581 |

Publication status | Published - 1995 Jan |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

*Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C*,

*61*(581), 78-84.

**Active noise control for automobiles based on least squares algorithm.** / Sano, Hisashi; Adachi, Shuichi; Kasuya, Hideki.

Research output: Contribution to journal › Article

*Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C*, vol. 61, no. 581, pp. 78-84.

}

TY - JOUR

T1 - Active noise control for automobiles based on least squares algorithm

AU - Sano, Hisashi

AU - Adachi, Shuichi

AU - Kasuya, Hideki

PY - 1995/1

Y1 - 1995/1

N2 - 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 brought 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.

AB - 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 brought 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.

UR - http://www.scopus.com/inward/record.url?scp=0029210759&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029210759&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0029210759

VL - 61

SP - 78

EP - 84

JO - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

JF - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

SN - 0387-5024

IS - 581

ER -