Amplitude and frequency estimator for aperiodic multi-frequency noisy vibration signals of a tram gearbox

Sinusoidal parameter estimation for determining frequency position and amplitude is challenging for noisy short vibration signals, e.g. from machines or human vibrations. In this paper, we propose the “Trimmed Window Discrete Fourier Transform” (TWDFT) estimator, which uses for every frequency a one...

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Autores principales:	Maik Wolf, Mathias Rudolph, Olfa Kanoun
Formato:	article
Lenguaje:	EN
Publicado:	JVE International 2021
Materias:	frequency and amplitude estimation aperiodic and multi-frequency signals dft noise cramer-rao lower bound signal segmentation tram gearbox structure-borne noise predictive maintenance Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/d33894ddeb1f4b1c902a5c9747969beb
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spelling	oai:doaj.org-article:d33894ddeb1f4b1c902a5c9747969beb2021-11-15T19:20:56ZAmplitude and frequency estimator for aperiodic multi-frequency noisy vibration signals of a tram gearbox1392-87162538-846010.21595/jve.2021.21855https://doaj.org/article/d33894ddeb1f4b1c902a5c9747969beb2021-08-01T00:00:00Zhttps://www.jvejournals.com/article/21855https://doaj.org/toc/1392-8716https://doaj.org/toc/2538-8460Sinusoidal parameter estimation for determining frequency position and amplitude is challenging for noisy short vibration signals, e.g. from machines or human vibrations. In this paper, we propose the “Trimmed Window Discrete Fourier Transform” (TWDFT) estimator, which uses for every frequency a one-point discrete Fourier transform (DFT) to determine the corresponding spectral amplitude. To avoid leakage effects, it cuts the time interval so that it corresponds to an integer number of period durations. To evaluate the estimator performance, we compare it with relevant estimators such as the Cramer-Rao lower bound (CRLB) and the spectral spline interpolation applied on a noisy mono-frequent test signal with a fractional frequency. For the estimated parameters, the mean squared errors (MSE) are calculated and compared as a function of the signal-to-noise ratio (SNR). The advantages of the TWDFT estimator can be seen over the whole SNR range. The TWDFT estimates are better than the fast Fourier transform (FFT) starting at a SNR of –6 dB. At a SNR of 30 dB, the estimator meets the real value of the frequency and reaches similar results as the CRLB. The application of the TWDFT estimator as a short-time analysis on a vibration signal of a tram gearbox shows a significantly more differentiated time-frequency analysis compared to a short-time Fourier transform (STFT).Maik WolfMathias RudolphOlfa KanounJVE Internationalarticlefrequency and amplitude estimationaperiodic and multi-frequency signalsdftnoisecramer-rao lower boundsignal segmentationtram gearboxstructure-borne noisepredictive maintenanceMechanical engineering and machineryTJ1-1570ENJournal of Vibroengineering, Vol 23, Iss 7, Pp 1492-1507 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	frequency and amplitude estimation aperiodic and multi-frequency signals dft noise cramer-rao lower bound signal segmentation tram gearbox structure-borne noise predictive maintenance Mechanical engineering and machinery TJ1-1570
spellingShingle	frequency and amplitude estimation aperiodic and multi-frequency signals dft noise cramer-rao lower bound signal segmentation tram gearbox structure-borne noise predictive maintenance Mechanical engineering and machinery TJ1-1570 Maik Wolf Mathias Rudolph Olfa Kanoun Amplitude and frequency estimator for aperiodic multi-frequency noisy vibration signals of a tram gearbox
description	Sinusoidal parameter estimation for determining frequency position and amplitude is challenging for noisy short vibration signals, e.g. from machines or human vibrations. In this paper, we propose the “Trimmed Window Discrete Fourier Transform” (TWDFT) estimator, which uses for every frequency a one-point discrete Fourier transform (DFT) to determine the corresponding spectral amplitude. To avoid leakage effects, it cuts the time interval so that it corresponds to an integer number of period durations. To evaluate the estimator performance, we compare it with relevant estimators such as the Cramer-Rao lower bound (CRLB) and the spectral spline interpolation applied on a noisy mono-frequent test signal with a fractional frequency. For the estimated parameters, the mean squared errors (MSE) are calculated and compared as a function of the signal-to-noise ratio (SNR). The advantages of the TWDFT estimator can be seen over the whole SNR range. The TWDFT estimates are better than the fast Fourier transform (FFT) starting at a SNR of –6 dB. At a SNR of 30 dB, the estimator meets the real value of the frequency and reaches similar results as the CRLB. The application of the TWDFT estimator as a short-time analysis on a vibration signal of a tram gearbox shows a significantly more differentiated time-frequency analysis compared to a short-time Fourier transform (STFT).
format	article
author	Maik Wolf Mathias Rudolph Olfa Kanoun
author_facet	Maik Wolf Mathias Rudolph Olfa Kanoun
author_sort	Maik Wolf
title	Amplitude and frequency estimator for aperiodic multi-frequency noisy vibration signals of a tram gearbox
title_short	Amplitude and frequency estimator for aperiodic multi-frequency noisy vibration signals of a tram gearbox
title_full	Amplitude and frequency estimator for aperiodic multi-frequency noisy vibration signals of a tram gearbox
title_fullStr	Amplitude and frequency estimator for aperiodic multi-frequency noisy vibration signals of a tram gearbox
title_full_unstemmed	Amplitude and frequency estimator for aperiodic multi-frequency noisy vibration signals of a tram gearbox
title_sort	amplitude and frequency estimator for aperiodic multi-frequency noisy vibration signals of a tram gearbox
publisher	JVE International
publishDate	2021
url	https://doaj.org/article/d33894ddeb1f4b1c902a5c9747969beb
work_keys_str_mv	AT maikwolf amplitudeandfrequencyestimatorforaperiodicmultifrequencynoisyvibrationsignalsofatramgearbox AT mathiasrudolph amplitudeandfrequencyestimatorforaperiodicmultifrequencynoisyvibrationsignalsofatramgearbox AT olfakanoun amplitudeandfrequencyestimatorforaperiodicmultifrequencynoisyvibrationsignalsofatramgearbox
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Amplitude and frequency estimator for aperiodic multi-frequency noisy vibration signals of a tram gearbox

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