Absolute finite differences based variable forgetting factor RLS algorithm

Abstract Adaptive signal processing requires an efficient non‐stationarity detector. Most of the known non‐stationarity detection algorithms are based on residual statistics. The study proposes a novel non‐stationarity detection algorithm based on finite differences analysis of the processed signal....

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Main Authors: Slobodan Drašković, Željko Đurović, Vera Petrović
Format: Article
Language:English
Published: Hindawi-IET 2022-02-01
Series:IET Signal Processing
Subjects:
Online Access:https://doi.org/10.1049/sil2.12074
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author Slobodan Drašković
Željko Đurović
Vera Petrović
author_facet Slobodan Drašković
Željko Đurović
Vera Petrović
author_sort Slobodan Drašković
collection DOAJ
description Abstract Adaptive signal processing requires an efficient non‐stationarity detector. Most of the known non‐stationarity detection algorithms are based on residual statistics. The study proposes a novel non‐stationarity detection algorithm based on finite differences analysis of the processed signal. It also includes a suitable procedure for the forgetting factor design in the adaptation process. The performance of the proposed algorithm is experimentally compared with other known algorithms with regard to slow changes in signal stationarity as well as the influence of free coefficient selection on the quality of estimation. The developed algorithm exhibits the ability to effectively track both slow and abrupt changes in signal stationarity, with a small steady‐state error. The coefficients that need to be set during the application of this algorithm are given intuitive physical meaning. Simulations show good resistance to low signal‐to‐noise ratio and abrupt changes in noise variance. The results also demonstrate estimation performance relative to the water level signal from a thermal power plant steam separator.
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spelling doaj.art-f6a1960b9fcf4d9eb880c7743bee28302023-12-02T00:31:36ZengHindawi-IETIET Signal Processing1751-96751751-96832022-02-01161809110.1049/sil2.12074Absolute finite differences based variable forgetting factor RLS algorithmSlobodan Drašković0Željko Đurović1Vera Petrović2School of Electrical Engineering University of Belgrade Belgrade SerbiaSchool of Electrical Engineering University of Belgrade Belgrade SerbiaSchool of Electrical and Computer Engineering Academy of Technical and Art Applied Studies Belgrade SerbiaAbstract Adaptive signal processing requires an efficient non‐stationarity detector. Most of the known non‐stationarity detection algorithms are based on residual statistics. The study proposes a novel non‐stationarity detection algorithm based on finite differences analysis of the processed signal. It also includes a suitable procedure for the forgetting factor design in the adaptation process. The performance of the proposed algorithm is experimentally compared with other known algorithms with regard to slow changes in signal stationarity as well as the influence of free coefficient selection on the quality of estimation. The developed algorithm exhibits the ability to effectively track both slow and abrupt changes in signal stationarity, with a small steady‐state error. The coefficients that need to be set during the application of this algorithm are given intuitive physical meaning. Simulations show good resistance to low signal‐to‐noise ratio and abrupt changes in noise variance. The results also demonstrate estimation performance relative to the water level signal from a thermal power plant steam separator.https://doi.org/10.1049/sil2.12074absolute finite differencesnon‐stationarity detectionrecursive least squaresvariable forgetting factor
spellingShingle Slobodan Drašković
Željko Đurović
Vera Petrović
Absolute finite differences based variable forgetting factor RLS algorithm
IET Signal Processing
absolute finite differences
non‐stationarity detection
recursive least squares
variable forgetting factor
title Absolute finite differences based variable forgetting factor RLS algorithm
title_full Absolute finite differences based variable forgetting factor RLS algorithm
title_fullStr Absolute finite differences based variable forgetting factor RLS algorithm
title_full_unstemmed Absolute finite differences based variable forgetting factor RLS algorithm
title_short Absolute finite differences based variable forgetting factor RLS algorithm
title_sort absolute finite differences based variable forgetting factor rls algorithm
topic absolute finite differences
non‐stationarity detection
recursive least squares
variable forgetting factor
url https://doi.org/10.1049/sil2.12074
work_keys_str_mv AT slobodandraskovic absolutefinitedifferencesbasedvariableforgettingfactorrlsalgorithm
AT zeljkođurovic absolutefinitedifferencesbasedvariableforgettingfactorrlsalgorithm
AT verapetrovic absolutefinitedifferencesbasedvariableforgettingfactorrlsalgorithm