Exploiting the Underdetermined System in Multichannel Active Noise Control for Open Windows
Active noise control (ANC) is a re-emerging technique to mitigate noise pollution. To reduce the noise power in large spaces, multiple channels are usually required, which complicates the implementation of ANC systems. In this paper, we separate the multichannel ANC problem into two subproblems, whe...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-01-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/9/3/390 |
| _version_ | 1819126392090001408 |
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| author | Jianjun He Bhan Lam Dongyuan Shi Woon Seng Gan |
| author_facet | Jianjun He Bhan Lam Dongyuan Shi Woon Seng Gan |
| author_sort | Jianjun He |
| collection | DOAJ |
| description | Active noise control (ANC) is a re-emerging technique to mitigate noise pollution. To reduce the noise power in large spaces, multiple channels are usually required, which complicates the implementation of ANC systems. In this paper, we separate the multichannel ANC problem into two subproblems, where the subproblem of computing the control filter is usually an underdetermined problem. Therefore, we could leverage the underdetermined system to simplify the ANC system without degrading the noise reduction performance. For a single incidence, we compare the conventional fully-coupled (pseudoinverse) multichannel control with the colocated (diagonal) control method and find that they can achieve equivalent performance, but the colocated control method is less computationally intensive. Furthermore, the underdetermined system presents an opportunity to control noise from multiple incidences with one common fixed filter. Both the full-rank and the overdetermined optimal control filters are realized. The performance of these control methods was analyzed numerically with the Finite Element Method (FEM) and the results validate the feasibility of the full-rank and overdetermined optimal control methods, where the latter could even offer more robust performance in more complex noise scenarios. |
| first_indexed | 2024-12-22T07:55:18Z |
| format | Article |
| id | doaj.art-1ede5571f0d5421b8400ab5f91677a5a |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-22T07:55:18Z |
| publishDate | 2019-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-1ede5571f0d5421b8400ab5f91677a5a2022-12-21T18:33:22ZengMDPI AGApplied Sciences2076-34172019-01-019339010.3390/app9030390app9030390Exploiting the Underdetermined System in Multichannel Active Noise Control for Open WindowsJianjun He0Bhan Lam1Dongyuan Shi2Woon Seng Gan3Maxim Integrated, San Jose 95134, CA, 95134, USASchool of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, SingaporeSchool of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, SingaporeSchool of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, SingaporeActive noise control (ANC) is a re-emerging technique to mitigate noise pollution. To reduce the noise power in large spaces, multiple channels are usually required, which complicates the implementation of ANC systems. In this paper, we separate the multichannel ANC problem into two subproblems, where the subproblem of computing the control filter is usually an underdetermined problem. Therefore, we could leverage the underdetermined system to simplify the ANC system without degrading the noise reduction performance. For a single incidence, we compare the conventional fully-coupled (pseudoinverse) multichannel control with the colocated (diagonal) control method and find that they can achieve equivalent performance, but the colocated control method is less computationally intensive. Furthermore, the underdetermined system presents an opportunity to control noise from multiple incidences with one common fixed filter. Both the full-rank and the overdetermined optimal control filters are realized. The performance of these control methods was analyzed numerically with the Finite Element Method (FEM) and the results validate the feasibility of the full-rank and overdetermined optimal control methods, where the latter could even offer more robust performance in more complex noise scenarios.https://www.mdpi.com/2076-3417/9/3/390Active noise control (ANC)multichannel controlopen windowunderdetermined systemfinite element method (FEM) |
| spellingShingle | Jianjun He Bhan Lam Dongyuan Shi Woon Seng Gan Exploiting the Underdetermined System in Multichannel Active Noise Control for Open Windows Applied Sciences Active noise control (ANC) multichannel control open window underdetermined system finite element method (FEM) |
| title | Exploiting the Underdetermined System in Multichannel Active Noise Control for Open Windows |
| title_full | Exploiting the Underdetermined System in Multichannel Active Noise Control for Open Windows |
| title_fullStr | Exploiting the Underdetermined System in Multichannel Active Noise Control for Open Windows |
| title_full_unstemmed | Exploiting the Underdetermined System in Multichannel Active Noise Control for Open Windows |
| title_short | Exploiting the Underdetermined System in Multichannel Active Noise Control for Open Windows |
| title_sort | exploiting the underdetermined system in multichannel active noise control for open windows |
| topic | Active noise control (ANC) multichannel control open window underdetermined system finite element method (FEM) |
| url | https://www.mdpi.com/2076-3417/9/3/390 |
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