Multichannel Filtered-X Error Coded Affine Projection-Like Algorithm with Evolving Order
Affine projection (AP) algorithms are commonly used to implement active noise control (ANC) systems because they provide fast convergence. However, their high computational complexity can restrict their use in certain practical applications. The Error Coded Affine Projection-Like (ECAP-L) algorithm...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2017/3864951 |
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| author | J. G. Avalos A. Rodriguez H. M. Martinez J. C. Sanchez H. M. Perez |
| author_facet | J. G. Avalos A. Rodriguez H. M. Martinez J. C. Sanchez H. M. Perez |
| author_sort | J. G. Avalos |
| collection | DOAJ |
| description | Affine projection (AP) algorithms are commonly used to implement active noise control (ANC) systems because they provide fast convergence. However, their high computational complexity can restrict their use in certain practical applications. The Error Coded Affine Projection-Like (ECAP-L) algorithm has been proposed to reduce the computational burden while maintaining the speed of AP, but no version of this algorithm has been derived for active noise control, for which the adaptive structures are very different from those of other configurations. In this paper, we introduce a version of the ECAP-L for single-channel and multichannel ANC systems. The proposed algorithm is implemented using the conventional filtered-x scheme, which incurs a lower computational cost than the modified filtered-x structure, especially for multichannel systems. Furthermore, we present an evolutionary method that dynamically decreases the projection order in order to reduce the dimensions of the matrix used in the algorithm’s computations. Experimental results demonstrate that the proposed algorithm yields a convergence speed and a final residual error similar to those of AP algorithms. Moreover, it achieves meaningful computational savings, leading to simpler hardware implementation of real-time ANC applications. |
| format | Article |
| id | doaj-art-36f4b11e024c41218965914e544c7925 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-36f4b11e024c41218965914e544c79252025-02-03T01:02:01ZengWileyShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/38649513864951Multichannel Filtered-X Error Coded Affine Projection-Like Algorithm with Evolving OrderJ. G. Avalos0A. Rodriguez1H. M. Martinez2J. C. Sanchez3H. M. Perez4Instituto Politecnico Nacional, ESIME Culhuacan, Av. Santa Ana No. 1000, Coyoacan, 04260 Ciudad de Mexico, MexicoInstituto Politecnico Nacional, ESIME Culhuacan, Av. Santa Ana No. 1000, Coyoacan, 04260 Ciudad de Mexico, MexicoInstituto Politecnico Nacional, ESIME Culhuacan, Av. Santa Ana No. 1000, Coyoacan, 04260 Ciudad de Mexico, MexicoInstituto Politecnico Nacional, ESIME Culhuacan, Av. Santa Ana No. 1000, Coyoacan, 04260 Ciudad de Mexico, MexicoInstituto Politecnico Nacional, ESIME Culhuacan, Av. Santa Ana No. 1000, Coyoacan, 04260 Ciudad de Mexico, MexicoAffine projection (AP) algorithms are commonly used to implement active noise control (ANC) systems because they provide fast convergence. However, their high computational complexity can restrict their use in certain practical applications. The Error Coded Affine Projection-Like (ECAP-L) algorithm has been proposed to reduce the computational burden while maintaining the speed of AP, but no version of this algorithm has been derived for active noise control, for which the adaptive structures are very different from those of other configurations. In this paper, we introduce a version of the ECAP-L for single-channel and multichannel ANC systems. The proposed algorithm is implemented using the conventional filtered-x scheme, which incurs a lower computational cost than the modified filtered-x structure, especially for multichannel systems. Furthermore, we present an evolutionary method that dynamically decreases the projection order in order to reduce the dimensions of the matrix used in the algorithm’s computations. Experimental results demonstrate that the proposed algorithm yields a convergence speed and a final residual error similar to those of AP algorithms. Moreover, it achieves meaningful computational savings, leading to simpler hardware implementation of real-time ANC applications.http://dx.doi.org/10.1155/2017/3864951 |
| spellingShingle | J. G. Avalos A. Rodriguez H. M. Martinez J. C. Sanchez H. M. Perez Multichannel Filtered-X Error Coded Affine Projection-Like Algorithm with Evolving Order Shock and Vibration |
| title | Multichannel Filtered-X Error Coded Affine Projection-Like Algorithm with Evolving Order |
| title_full | Multichannel Filtered-X Error Coded Affine Projection-Like Algorithm with Evolving Order |
| title_fullStr | Multichannel Filtered-X Error Coded Affine Projection-Like Algorithm with Evolving Order |
| title_full_unstemmed | Multichannel Filtered-X Error Coded Affine Projection-Like Algorithm with Evolving Order |
| title_short | Multichannel Filtered-X Error Coded Affine Projection-Like Algorithm with Evolving Order |
| title_sort | multichannel filtered x error coded affine projection like algorithm with evolving order |
| url | http://dx.doi.org/10.1155/2017/3864951 |
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