Adaptive filters based on the high order error statistics
This paper presents convergence analyses of the stochastic gradient adaptive algorithms based on high order error power criteria. In particular, our attention has focused on investigating the statistical behaviour of the least mean absolute third (LMAT) and the least mean fourth (LMF) adaptive algor...
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| Published in: | 1996 IEEE Asia Pacific Conference on Circuits and Systems Proceedings pp. 109 - 112 |
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| Main Authors: | , |
| Format: | Conference Proceeding |
| Language: | English |
| Published: |
IEEE
1996
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| ISBN: | 9780780337022, 0780337026 |
| Online Access: | Get full text |
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| Abstract | This paper presents convergence analyses of the stochastic gradient adaptive algorithms based on high order error power criteria. In particular, our attention has focused on investigating the statistical behaviour of the least mean absolute third (LMAT) and the least mean fourth (LMF) adaptive algorithms. For each algorithm, under a set of mild assumptions, we have derived nonlinear evolution equations that characterize the mean and mean-squared behaviour of the algorithm. Computer simulation examples show fairly good agreement between the theoretical and actual behaviour of the two algorithms. |
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| AbstractList | This paper presents convergence analyses of the stochastic gradient adaptive algorithms based on high order error power criteria. In particular, our attention has focused on investigating the statistical behaviour of the least mean absolute third (LMAT) and the least mean fourth (LMF) adaptive algorithms. For each algorithm, under a set of mild assumptions, we have derived nonlinear evolution equations that characterize the mean and mean-squared behaviour of the algorithm. Computer simulation examples show fairly good agreement between the theoretical and actual behaviour of the two algorithms. |
| Author | Sung Ho Cho Sang Duck Kim |
| Author_xml | – sequence: 1 surname: Sung Ho Cho fullname: Sung Ho Cho organization: Dept. of Electron. Eng., Hanyang Univ., Ansan, South Korea – sequence: 2 surname: Sang Duck Kim fullname: Sang Duck Kim |
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| PublicationTitle | 1996 IEEE Asia Pacific Conference on Circuits and Systems Proceedings |
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| Snippet | This paper presents convergence analyses of the stochastic gradient adaptive algorithms based on high order error power criteria. In particular, our attention... |
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| StartPage | 109 |
| SubjectTerms | Adaptive algorithm Adaptive filters Algorithm design and analysis Convergence Error analysis Finite impulse response filter Least squares approximation Nonlinear equations Signal processing algorithms Stochastic processes |
| Title | Adaptive filters based on the high order error statistics |
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