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Open AccessArticle

An Enhanced Set-Membership PNLMS Algorithm with a Correntropy Induced Metric Constraint for Acoustic Channel Estimation

by 1,2, 1,3,* and 1
1
College of Information and Communications Engineering, Harbin Engineering University, Harbin 150001, China
2
College of Communication and Electronic Engineering, Qiqihar University, Qiqihar 161006, China
3
National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China
*
Author to whom correspondence should be addressed.
Entropy 2017, 19(6), 281; https://doi.org/10.3390/e19060281
Received: 30 April 2017 / Revised: 11 June 2017 / Accepted: 13 June 2017 / Published: 15 June 2017
(This article belongs to the Special Issue Maximum Entropy and Its Application II)
In this paper, a sparse set-membership proportionate normalized least mean square (SM-PNLMS) algorithm integrated with a correntropy induced metric (CIM) penalty is proposed for acoustic channel estimation and echo cancellation. The CIM is used for constructing a new cost function within the kernel framework. The proposed CIM penalized SM-PNLMS (CIMSM-PNLMS) algorithm is derived and analyzed in detail. A desired zero attraction term is put forward in the updating equation of the proposed CIMSM-PNLMS algorithm to force the inactive coefficients to zero. The performance of the proposed CIMSM-PNLMS algorithm is investigated for estimating an underwater communication channel estimation and an echo channel. The obtained results demonstrate that the proposed CIMSM-PNLMS algorithm converges faster and provides a smaller estimation error in comparison with the NLMS, PNLMS, IPNLMS, SM-PNLMS and zero-attracting SM-PNLMS (ZASM-PNLMS) algorithms. View Full-Text
Keywords: set-membership proportionate normalized least mean square; sparse adaptive filtering; PNLMS algorithm; zero attracting algorithm; correntropy induced metric (CIM) set-membership proportionate normalized least mean square; sparse adaptive filtering; PNLMS algorithm; zero attracting algorithm; correntropy induced metric (CIM)
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Jin, Z.; Li, Y.; Wang, Y. An Enhanced Set-Membership PNLMS Algorithm with a Correntropy Induced Metric Constraint for Acoustic Channel Estimation. Entropy 2017, 19, 281.

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