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

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
J. G. Avalos ◽  
A. Rodriguez ◽  
H. M. Martinez ◽  
J. C. Sanchez ◽  
H. M. Perez

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.

2019 ◽  
Vol 9 (3) ◽  
pp. 560 ◽  
Author(s):  
Ángel Vázquez ◽  
Xochitl Maya ◽  
Juan Avalos ◽  
Giovanny Sánchez ◽  
Juan Sánchez ◽  
...  

Affine projection (AP) algorithms have demonstrated faster convergence speed than conventional least mean square (LMS) algorithms, thus providing an attractive solution in the active noise control (ANC) field. However, the AP algorithms demand high computational cost, restricting their practical use in real-time ANC applications. Recently, a multichannel filtered-x error-coded affine projection-like (FXECAP-L) algorithm with evolving order has been proposed to reduce the computational burden by maintaining the convergence speed of AP algorithms. In order to obtain an efficient and robust FXECAP-L algorithm with evolving order, the scaling factor and encoder resolution need to be adjusted manually, which is a time-consuming and costly effort that must be carried out by expert designers. To reduce these costs and efforts, we introduce, for the first time, a strategy for automatic adjustment of the scaling factor and encoder resolution that benefits the rapid development of practical ANC applications. To demonstrate its practical use, we applied the proposed strategy for controlling the noise in an acoustic duct. The practical results demonstrate the automatic adjustment of the FXECAP-L algorithm which maintains high convergence speed at the expense of a small compromise in terms of processing time.


2008 ◽  
Vol 16 (8) ◽  
pp. 1396-1408 ◽  
Author(s):  
Miguel Ferrer ◽  
Alberto Gonzalez ◽  
Maria de Diego ◽  
Gema Pinero

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