Abstract
The present study introduces a robust variable step-size affine projection sign adaptive algorithm (RVSS-APSA) in impulsive noise environments. In the proposed RVSS-APA, the weight coefficients are updated based on the minimization of \(\ell _2\)-norm of the a posteriori error and the step size changes according to the minimization of \(\ell _1\)-norm of the a posteriori error. This algorithm reduces the steady-state misalignment and increases the convergence rate for colored input signal as well as with or without impulsive noise interference. Also, a new simple reset algorithm is proposed to improve the tracking ability of the introduced algorithm. The simulation results demonstrate a good performance for the proposed algorithm in different situations.
Similar content being viewed by others
References
M.S.E. Abadi, H. Mesgarani, S.M. Khademiyan, The wavelet transform-domain LMS adaptive filter employing dynamic selection of subband-coefficients. Digital Signal Process. 69, 94–105 (2017)
M.Z.A. Bhotto, A. Antoniou, Affine-projection-like adaptive-filtering algorithms using gradient-based step size. IEEE Trans. Circuits Syst. I Regul. Pap. 61(7), 2048–2056 (2014)
N.I. Chaudhary, M. Ahmed, Z.A. Khan, S. Zubair, M.A.Z. Raja, N. Dedovic, Design of normalized fractional adaptive algorithms for parameter estimation of control autoregressive autoregressive systems. Appl. Math. Model. 55, 698–715 (2018)
N.I. Chaudhary, S. Zubair, M.A.Z. Raja, N. Dedovic, Normalized fractional adaptive methods for nonlinear control autoregressive systems. Appl. Math. Model. 66, 457–471 (2019)
S.S. Haykin, Adaptive Filter Theory, 5th edn. (Pearson Education India, Noida, 2013)
J. Kim, J. Chang, S. Nam, Affine projection sign algorithm with \(\ell _1\) minimization-based variable step-size. Signal Process. 105, 376–380 (2014)
M.A.Z. Raja, N.I. Chaudhary, Two-stage fractional least mean square identification algorithm for parameter estimation of CARMA systems. Signal Process. 107, 327–339 (2015)
C. Ren, Z. Wang, Z. Zhao, A new variable step-size affine projection sign algorithm based on a posteriori estimation error analysis. Circuits Syst. Signal Process. 36(5), 1989–2011 (2017)
A.H. Sayed, Adaptive Filters (Wiley, Hoboken, 2011)
S.M. Shah, R. Samar, M.A.Z. Raja, J.A. Chambers, Fractional normalised filtered-error least mean squares algorithm for application in active noise control systems. Electron. Lett. 50(14), 973–975 (2014)
T. Shao, Y.R. Zheng, J. Benesty, An affine projection sign algorithm robust against impulsive interferences. IEEE Signal Process. Lett. 17(4), 327–330 (2010)
J. Shin, J. Yoo, P. Park, Variable step-size affine projection sign algorithm. Electron. Lett. 48(9), 483–485 (2012)
I. Song, P. Park, A variable step-size affine projection algorithm with a step-size scaler against impulsive measurement noise. Signal Process. 96(PART B), 321–324 (2014)
L.R. Vega, H. Rey, J. Benesty, A robust variable step-size affine projection algorithm. Signal Process. 90(9), 2806–2810 (2010)
J. Yoo, J. Shin, P. Park, Variable step-size affine projection sign algorithm. IEEE Trans. Circuits Syst. II Exp. Briefs 61(4), 274–278 (2014)
J. Yoo, J. Shin, P. Park, Variable step-size sign algorithm against impulsive noises. IET Signal Process. 9(6), 506–510 (2015)
S. Zhang, J. Zhang, Modified variable step-size affine projection sign algorithm. Electron. Lett. 49(20), 1264–1265 (2013)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Shams Esfand Abadi, M., Mesgarani, H. & Khademiyan, S.M. Robust Variable Step-Size Affine Projection Sign Algorithm Against Impulsive Noises. Circuits Syst Signal Process 39, 1471–1488 (2020). https://doi.org/10.1007/s00034-019-01209-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00034-019-01209-8