A Variable Step-size CLMS Algorithm and Its Analysis
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Date
2020-04
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Referee
Mark
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Společnost pro radioelektronické inženýrství
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Abstract
In this paper, a hyperbolic tangent variable step-size convex combination of the least mean square (HTVSCLMS) algorithm is proposed and analyzed. This work avoids the compromise between the convergence speed and the steady-state error for two filters in convex combination of the least mean square (CLMS) algorithm. In the proposed algorithm, the big step-size filter is replaced by a filter whose iteration step-size is a modified function based on hyperbolic tangent function. Thus it constructs hyperbolic tangent nonlinear relationship between step-size and error. At the same time, the small step-size filter remains unchanged but fixed. So, it conquers the slow convergence speed and the weak anti-interference ability of fixed step-size CLMS. Simulation results show that HTVSCLMS algorithm, compared with CLMS algorithm and variable step-size CLMS (VSCLMS) algorithm, not only has superior capability of tracking in the presence of noise and in a stable and even non-stable environment, but also can maintain a better convergence.
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Citation
Radioengineering. 2020 vol. 29, č. 1, s. 182-188. ISSN 1210-2512
https://www.radioeng.cz/fulltexts/2019/20_01_0182_0188.pdf
https://www.radioeng.cz/fulltexts/2019/20_01_0182_0188.pdf
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Peer-reviewed
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Published version
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en