Optimized use of Wavelet Packet Trees for the analysis of electrical waveforms

Wavelet packet trees represent a topic which grows in popularity when it comes to analysis of electrical waveforms. It allows for time-frequency analysis providing information on narrower ranges of frequency (as compared to the faster Discrete Wavelet Decomposition), but the computational resources...

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Main Authors: Nicolae Ileana-Diana V.D., Nicolae Petre-Marian T., Cîrstea Daniel C., Gheorghe Ilie A.
Format: Article
Language:English
Published: EDP Sciences 2022-01-01
Series:ITM Web of Conferences
Online Access:https://www.itm-conferences.org/articles/itmconf/pdf/2022/09/itmconf_icamnm2022_01006.pdf
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author Nicolae Ileana-Diana V.D.
Nicolae Petre-Marian T.
Cîrstea Daniel C.
Gheorghe Ilie A.
author_facet Nicolae Ileana-Diana V.D.
Nicolae Petre-Marian T.
Cîrstea Daniel C.
Gheorghe Ilie A.
author_sort Nicolae Ileana-Diana V.D.
collection DOAJ
description Wavelet packet trees represent a topic which grows in popularity when it comes to analysis of electrical waveforms. It allows for time-frequency analysis providing information on narrower ranges of frequency (as compared to the faster Discrete Wavelet Decomposition), but the computational resources are significantly greater than that involved in other types of wavelet-based analysis. In order to allow for this type of analysis to be usable in real-time applications, that is – to reduce the runtime, original algorithms were conceived and tested. In the first part of this work, previously implemented algorithms are briefly described, along with their pros and cons. Afterward, a new runtime optimization algorithm is proposed. Details on data structures, workflow, tests and study of errors are provided. This algorithm diminishes with up to 59% the runtime required by the application of the superposition theorem in order to evaluate the contribution of clustered harmonics using WPT.
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spelling doaj.art-9f3f923813294da3b5af3fddc04a89502022-12-22T04:39:39ZengEDP SciencesITM Web of Conferences2271-20972022-01-01490100610.1051/itmconf/20224901006itmconf_icamnm2022_01006Optimized use of Wavelet Packet Trees for the analysis of electrical waveformsNicolae Ileana-Diana V.D.0Nicolae Petre-Marian T.1Cîrstea Daniel C.2Gheorghe Ilie A.3Department of Computer Science and IT, University of CraiovaDepartment of Electrical Engineering, Energetic and Aerospatial, University of CraiovaDepartment of Electrical Engineering, Energetic and Aerospatial, University of CraiovaDepartment of Electrical Engineering, Energetic and Aerospatial, University of CraiovaWavelet packet trees represent a topic which grows in popularity when it comes to analysis of electrical waveforms. It allows for time-frequency analysis providing information on narrower ranges of frequency (as compared to the faster Discrete Wavelet Decomposition), but the computational resources are significantly greater than that involved in other types of wavelet-based analysis. In order to allow for this type of analysis to be usable in real-time applications, that is – to reduce the runtime, original algorithms were conceived and tested. In the first part of this work, previously implemented algorithms are briefly described, along with their pros and cons. Afterward, a new runtime optimization algorithm is proposed. Details on data structures, workflow, tests and study of errors are provided. This algorithm diminishes with up to 59% the runtime required by the application of the superposition theorem in order to evaluate the contribution of clustered harmonics using WPT.https://www.itm-conferences.org/articles/itmconf/pdf/2022/09/itmconf_icamnm2022_01006.pdf
spellingShingle Nicolae Ileana-Diana V.D.
Nicolae Petre-Marian T.
Cîrstea Daniel C.
Gheorghe Ilie A.
Optimized use of Wavelet Packet Trees for the analysis of electrical waveforms
ITM Web of Conferences
title Optimized use of Wavelet Packet Trees for the analysis of electrical waveforms
title_full Optimized use of Wavelet Packet Trees for the analysis of electrical waveforms
title_fullStr Optimized use of Wavelet Packet Trees for the analysis of electrical waveforms
title_full_unstemmed Optimized use of Wavelet Packet Trees for the analysis of electrical waveforms
title_short Optimized use of Wavelet Packet Trees for the analysis of electrical waveforms
title_sort optimized use of wavelet packet trees for the analysis of electrical waveforms
url https://www.itm-conferences.org/articles/itmconf/pdf/2022/09/itmconf_icamnm2022_01006.pdf
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