Variable step-size saturation affine projection algorithm against impulsive noise
SCIE
SCOPUS
- Title
- Variable step-size saturation affine projection algorithm against impulsive noise
- Authors
- Lee, Minho; Hur, Junwoong; Park, Taesu; Park, PooGyeon
- Date Issued
- 2022-09
- Publisher
- Elsevier Ltd
- Abstract
- © 2022 The Franklin InstituteThis study proposes a variable step-size saturation affine projection algorithm (VSS-sat-APA) robust to impulsive noise. The proposed algorithm is analytically derived from the optimal solution, which minimizes a newly defined ℓ2 cost function of a posteriori output error with weight-estimate variation limited by the step-size threshold. In contrast, the conventional robust VSS APA (RVSS-APA) is geometrically derived from a suboptimal solution, which minimizes an ℓ2 cost function of a posteriori output error with weight-estimate variation limited by the step-size threshold. The proposed algorithm operates as the original APA with the unit step-size when the magnitude of the normalized a priori output error is saturated with the step-size threshold and as a modified APA with the step-size when it is not saturated. This study derives a VSS scheme by analyzing the propagation of the mean square deviation of the weight-error vector when the saturation occurs and when it does not. The simulation results show that the proposed algorithm performs better with a fast convergence rate and small steady-state error compared to the conventional algorithms in both non-impulsive and impulsive noisy environments.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/113989
- DOI
- 10.1016/j.jfranklin.2022.07.012
- ISSN
- 0016-0032
- Article Type
- Article
- Citation
- Journal of the Franklin Institute, vol. 359, no. 13, page. 7025 - 7050, 2022-09
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