Robust hyperbolic tangent Geman-McClure adaptive filter based on NKP decomposition and its performance analysis

For the identification of long impulse response systems in impulsive noise environments, existing algorithms have disadvantages such as slow convergence speed, large steady-state error, and poor tracking performance. In this brief, we propose the nearest Kronecker product decomposition based robust...

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Bibliographic Details
Published inSignal, image and video processing Vol. 18; no. 11; pp. 7755 - 7762
Main Authors Liu, Qianqian, He, Liulu, Ning, Shuguang
Format Journal Article
LanguageEnglish
Published London Springer London 01.11.2024
Springer Nature B.V
Subjects
Adaptive algorithms
Adaptive filters
Adaptive systems
Computer Imaging
Computer Science
Decomposition
Error analysis
Hyperbolic functions
Image Processing and Computer Vision
Impulse response
Multimedia Information Systems
Original Paper
Pattern Recognition and Graphics
Robustness
Signal,Image and Speech Processing
System identification
Vision
Kronecker product
Impulsive noise
Adaptive filter
Geman-McClure function
Variable step-size
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Summary:For the identification of long impulse response systems in impulsive noise environments, existing algorithms have disadvantages such as slow convergence speed, large steady-state error, and poor tracking performance. In this brief, we propose the nearest Kronecker product decomposition based robust hyperbolic tangent Geman-McClure adaptive filter (NKP-HTGM) and analyze its performance. This algorithm uses the Geman-McClure function under hyperbolic tangent framework to remove the characteristic of the abnormal amplitude in the dataset, significantly improving the robustness against impulsive noise. Moreover, a novel variable step-size method (VSS) is introduced to further enhance the performance of NKP-HTGM (VSS-NKP-HTGM). Finally, the simulation results validate the effectiveness of the NKP-HTGM algorithm in system identification and the correctness of the theoretical analysis.
ISSN:1863-1703
1863-1711
DOI:10.1007/s11760-024-03425-5