TY - JOUR
T1 - Set-membership affine projection algorithm based on the percentage change of the error signal and variable projection order
AU - Trejo, Carlos
AU - Maya, Xochitl
AU - Martinez, Rene
AU - Sanchez, Gabriel
AU - Perez, Hector
AU - Avalos, Juan
AU - Sanchez, Giovanny
N1 - Publisher Copyright:
©
PY - 2022/3/1
Y1 - 2022/3/1
N2 - Nowadays, the use of adaptive filters plays an important role in multiple signal processing applications, such as active noise control, acoustic echo cancellers, system identifiers, channel equalizer, among others. Until date, many of the existing adaptive algorithms such as affine projection algorithms offer a high convergence speed. However, its computational cost is also high. Currently, several authors make extraordinary efforts to reduce its computational cost to be used in practical applications. In this paper, we propose a new set-membership affine projection algorithm based on the percentage change of the error signal and variable projection order (SMAP-PC-VO). Specifically, we propose two techniques to create this algorithm; 1) the new algorithm uses an error bound, which is obtained by calcuting the percentage change of the error signal, to avoid the computation of the variance of additive noise, since in existing approaches this parameter determines the error bound. In practical applications, the computation of the variance of additive noise is infeasible since this signal is not available; 2) we propose a new method to dynamically modify the projection order in the new algorithm. As a consequence, its computational cost is reduced. To demonstrate its performance, the proposed algorithm was successfully tested in different environments for system identification and active noise control for headphone applications. The simulation results demonstrate that the proposed algorithm presents good convergence properties. In addition, the proposed algorithm exhibits a low overall computational complexity.
AB - Nowadays, the use of adaptive filters plays an important role in multiple signal processing applications, such as active noise control, acoustic echo cancellers, system identifiers, channel equalizer, among others. Until date, many of the existing adaptive algorithms such as affine projection algorithms offer a high convergence speed. However, its computational cost is also high. Currently, several authors make extraordinary efforts to reduce its computational cost to be used in practical applications. In this paper, we propose a new set-membership affine projection algorithm based on the percentage change of the error signal and variable projection order (SMAP-PC-VO). Specifically, we propose two techniques to create this algorithm; 1) the new algorithm uses an error bound, which is obtained by calcuting the percentage change of the error signal, to avoid the computation of the variance of additive noise, since in existing approaches this parameter determines the error bound. In practical applications, the computation of the variance of additive noise is infeasible since this signal is not available; 2) we propose a new method to dynamically modify the projection order in the new algorithm. As a consequence, its computational cost is reduced. To demonstrate its performance, the proposed algorithm was successfully tested in different environments for system identification and active noise control for headphone applications. The simulation results demonstrate that the proposed algorithm presents good convergence properties. In addition, the proposed algorithm exhibits a low overall computational complexity.
KW - Computational efficiency
KW - Convergence
KW - Heuristic algorithms
KW - IEEE transactions
KW - Internet of Things
KW - Projection algorithms
KW - Signal processing algorithms
UR - http://www.scopus.com/inward/record.url?scp=85122474050&partnerID=8YFLogxK
U2 - 10.1109/TLA.2022.9667149
DO - 10.1109/TLA.2022.9667149
M3 - Artículo
AN - SCOPUS:85122474050
SN - 1548-0992
VL - 20
SP - 496
EP - 502
JO - IEEE Latin America Transactions
JF - IEEE Latin America Transactions
IS - 3
ER -