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- Title
Variable Matrix-Type Step-Size Affine Projection Sign Algorithm for System Identification in the Presence of Impulsive Noise.
- Authors
Shin, Jaewook; Park, Bum Yong; Lee, Won Il; Yoo, Jinwoo
- Abstract
This paper presents a novel variable matrix-type step-size affine projection sign algorithm (VMSS-APSA) characterized by robustness against impulsive noise. To mathematically derive a matrix-type step size, VMSS-APSA utilizes mean-square deviation (MSD) for the modified version of the original APSA. Accurately establishing the MSD of APSA is impossible. Therefore, the proposed VMSS-APSA derives the upper bound of the MSD using the upper bound of the L 1 -norm of the measurement noise. The optimal matrix-type step size is calculated at each iteration by minimizing the upper bound of the MSD, thereby improving the filter performance in terms of convergence rate and steady-state estimation error. Because a novel cost function of the proposed VMSS-APSA was designed to maintain a form similar to the original APSA, they have symmetric characteristics. Simulation results demonstrate that the proposed VMSS-APSA improves filter performance in a system-identification scenario in the presence of impulsive noise.
- Subjects
SYSTEM identification; COST functions; NOISE; ALGORITHMS; ADAPTIVE filters
- Publication
Symmetry (20738994), 2022, Vol 14, Issue 10, pN.PAG
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym14101985