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Shock and Vibration
Volume 2017, Article ID 3864951, 11 pages
Research Article

Multichannel Filtered-X Error Coded Affine Projection-Like Algorithm with Evolving Order

Instituto Politecnico Nacional, ESIME Culhuacan, Av. Santa Ana No. 1000, Coyoacan, 04260 Ciudad de Mexico, Mexico

Correspondence should be addressed to J. G. Avalos; xm.npi@osolavaj

Received 4 November 2016; Revised 15 March 2017; Accepted 3 April 2017; Published 8 June 2017

Academic Editor: M. I. Herreros

Copyright © 2017 J. G. Avalos et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.