Diffusion Signed LMS Algorithms and Their Performance Analyses for Cyclostationary White Gaussian Inputs

As one of the signed variants of the diffusion least mean square (DLMS) algorithm over networks, the diffusion sign error algorithm has been presented in previous reference. In this paper, we propose two novel signed variants of the DLMS algorithm, i.e., the diffusion signed regressor algorithm and...

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Main Authors: Wenyuan Wang, Haiquan Zhao
Format: Article
Language:English
Published: IEEE 2017-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/7997729/
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author Wenyuan Wang
Haiquan Zhao
author_facet Wenyuan Wang
Haiquan Zhao
author_sort Wenyuan Wang
collection DOAJ
description As one of the signed variants of the diffusion least mean square (DLMS) algorithm over networks, the diffusion sign error algorithm has been presented in previous reference. In this paper, we propose two novel signed variants of the DLMS algorithm, i.e., the diffusion signed regressor algorithm and the diffusion sign-sign algorithm. Moreover, this paper analyzes the performance of these three signed variants of the DLMS algorithm for cyclostationary white Gaussian inputs which have periodically time-varying variances. It is assumed that the distributed algorithms are in non-stationary environments. Specifically, the unknown parameter to be identified is time-varying according to the standard random walk model. The analysis models in terms of mean weight behavior and mean square performance are provided, in which, we can find some interesting results. Finally, simulations are carried out to verify the correctness of the proposed analysis model.
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spelling doaj.art-977e10f0f6c44c36a81a11d22271d5cb2022-12-21T23:03:14ZengIEEEIEEE Access2169-35362017-01-015188761889410.1109/ACCESS.2017.27337667997729Diffusion Signed LMS Algorithms and Their Performance Analyses for Cyclostationary White Gaussian InputsWenyuan Wang0Haiquan Zhao1https://orcid.org/0000-0003-0198-1384Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, Chengdu, ChinaKey Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, Chengdu, ChinaAs one of the signed variants of the diffusion least mean square (DLMS) algorithm over networks, the diffusion sign error algorithm has been presented in previous reference. In this paper, we propose two novel signed variants of the DLMS algorithm, i.e., the diffusion signed regressor algorithm and the diffusion sign-sign algorithm. Moreover, this paper analyzes the performance of these three signed variants of the DLMS algorithm for cyclostationary white Gaussian inputs which have periodically time-varying variances. It is assumed that the distributed algorithms are in non-stationary environments. Specifically, the unknown parameter to be identified is time-varying according to the standard random walk model. The analysis models in terms of mean weight behavior and mean square performance are provided, in which, we can find some interesting results. Finally, simulations are carried out to verify the correctness of the proposed analysis model.https://ieeexplore.ieee.org/document/7997729/Distributed networkadaptive filtersign algorithmstochastic modelcyclostationary signals
spellingShingle Wenyuan Wang
Haiquan Zhao
Diffusion Signed LMS Algorithms and Their Performance Analyses for Cyclostationary White Gaussian Inputs
IEEE Access
Distributed network
adaptive filter
sign algorithm
stochastic model
cyclostationary signals
title Diffusion Signed LMS Algorithms and Their Performance Analyses for Cyclostationary White Gaussian Inputs
title_full Diffusion Signed LMS Algorithms and Their Performance Analyses for Cyclostationary White Gaussian Inputs
title_fullStr Diffusion Signed LMS Algorithms and Their Performance Analyses for Cyclostationary White Gaussian Inputs
title_full_unstemmed Diffusion Signed LMS Algorithms and Their Performance Analyses for Cyclostationary White Gaussian Inputs
title_short Diffusion Signed LMS Algorithms and Their Performance Analyses for Cyclostationary White Gaussian Inputs
title_sort diffusion signed lms algorithms and their performance analyses for cyclostationary white gaussian inputs
topic Distributed network
adaptive filter
sign algorithm
stochastic model
cyclostationary signals
url https://ieeexplore.ieee.org/document/7997729/
work_keys_str_mv AT wenyuanwang diffusionsignedlmsalgorithmsandtheirperformanceanalysesforcyclostationarywhitegaussianinputs
AT haiquanzhao diffusionsignedlmsalgorithmsandtheirperformanceanalysesforcyclostationarywhitegaussianinputs