2017
DOI: 10.3390/e19060281
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An Enhanced Set-Membership PNLMS Algorithm with a Correntropy Induced Metric Constraint for Acoustic Channel Estimation

Abstract: Abstract: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 a… Show more

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Cited by 16 publications
(6 citation statements)
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“…results. Using the Lemma 1 in [53], when N is large enough and the input signal is white Gaussian noise, the cost function in (22) can be modified to be…”
Section: The Proposed Acd-based MCC Algorithmsmentioning
confidence: 99%
“…results. Using the Lemma 1 in [53], when N is large enough and the input signal is white Gaussian noise, the cost function in (22) can be modified to be…”
Section: The Proposed Acd-based MCC Algorithmsmentioning
confidence: 99%
“…It is worth pointing out that the main role of the proportionate scheme is to speed up the convergence, while the sparsity-aware's role is to reduce the steady-state error. In [58], [59], [60], [61], to exploit the sparsity of the underlying system as full as possible, these two strategies were combined in the NLMS algorithm. However, the reasons why the combination of these two strategies provided better results than each strategy individually are not completely clarified, and how to choose the proper sparse penalty parameter is also problem.…”
Section: Introductionmentioning
confidence: 99%
“…Inspired by the PNLMS, the proportionate AP (PAP) algorithm was proposed by using the idea in PNLMS to fully use the sparsity in the system via employing the data reusing principle [22]. Then, various proportionate-type AF algorithms were proposed and analyzed [23][24][25]. Moreover, a collection of zero-attraction (ZA) algorithms, such as the ZA-LMS and its reweighted form (RZA-LMS), ZA-AP, and RZA-AP algorithms, etc.…”
Section: Introductionmentioning
confidence: 99%