Active Cancellation of the Tonal Component of Sound Using a Discrete Fourier Transform of Variable Length

The paper presents a method of eliminating the tonal component of an acoustic signal. The tonal component is approximated by a sinusoidal signal of a given amplitude and frequency. As the parameters of this component: amplitude, frequency and initial phase may be variable, it is important to detect...

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Main Authors: Michał ŁUCZYNSKI, Andrzej DOBRUCKI, Stefan BRACHMAŃSKI
Format: Article
Language:English
Published: Institute of Fundamental Technological Research Polish Academy of Sciences 2021-12-01
Series:Archives of Acoustics
Subjects:
Online Access:https://acoustics.ippt.pan.pl/index.php/aa/article/view/2868
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author Michał ŁUCZYNSKI
Andrzej DOBRUCKI
Stefan BRACHMAŃSKI
author_facet Michał ŁUCZYNSKI
Andrzej DOBRUCKI
Stefan BRACHMAŃSKI
author_sort Michał ŁUCZYNSKI
collection DOAJ
description The paper presents a method of eliminating the tonal component of an acoustic signal. The tonal component is approximated by a sinusoidal signal of a given amplitude and frequency. As the parameters of this component: amplitude, frequency and initial phase may be variable, it is important to detect these parameters in subsequent analysis time intervals (frames). If the detection of the parameters is correct, the elimination consists in adding a sinusoidal component with the detected amplitude and frequency to the signal, but the phase shifted by 180 degrees. The accuracy of the reduction depends on the accuracy of parameters detection and their changes. Detection takes place using the Discrete Fourier Transform, whose length is changed to match the spectrum resolution to the signal frequency. The operation for various methods of synthesis of the compensating signal as well as various window functions were checked. An elimination simulation was performed to analyze the effectiveness of the reduction. The result of the paper is the assessment of the method in narrowband active noise control systems. The method was tested by simulation and then experimentally with real acoustic signals. The level of reduction was from 6.9 to 31.5 dB.
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spelling doaj-art-c84ef1fa41024f5fb55a822c877b91a42025-08-20T02:54:42ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2021-12-0146410.24425/aoa.2021.138151Active Cancellation of the Tonal Component of Sound Using a Discrete Fourier Transform of Variable LengthMichał ŁUCZYNSKI0Andrzej DOBRUCKI1Stefan BRACHMAŃSKI2Wroclaw University of Science and TechnologyWroclaw University of Science and TechnologyWroclaw University of Science and TechnologyThe paper presents a method of eliminating the tonal component of an acoustic signal. The tonal component is approximated by a sinusoidal signal of a given amplitude and frequency. As the parameters of this component: amplitude, frequency and initial phase may be variable, it is important to detect these parameters in subsequent analysis time intervals (frames). If the detection of the parameters is correct, the elimination consists in adding a sinusoidal component with the detected amplitude and frequency to the signal, but the phase shifted by 180 degrees. The accuracy of the reduction depends on the accuracy of parameters detection and their changes. Detection takes place using the Discrete Fourier Transform, whose length is changed to match the spectrum resolution to the signal frequency. The operation for various methods of synthesis of the compensating signal as well as various window functions were checked. An elimination simulation was performed to analyze the effectiveness of the reduction. The result of the paper is the assessment of the method in narrowband active noise control systems. The method was tested by simulation and then experimentally with real acoustic signals. The level of reduction was from 6.9 to 31.5 dB.https://acoustics.ippt.pan.pl/index.php/aa/article/view/2868active noise controltonal signalDiscrete Fourier Transform.
spellingShingle Michał ŁUCZYNSKI
Andrzej DOBRUCKI
Stefan BRACHMAŃSKI
Active Cancellation of the Tonal Component of Sound Using a Discrete Fourier Transform of Variable Length
Archives of Acoustics
active noise control
tonal signal
Discrete Fourier Transform.
title Active Cancellation of the Tonal Component of Sound Using a Discrete Fourier Transform of Variable Length
title_full Active Cancellation of the Tonal Component of Sound Using a Discrete Fourier Transform of Variable Length
title_fullStr Active Cancellation of the Tonal Component of Sound Using a Discrete Fourier Transform of Variable Length
title_full_unstemmed Active Cancellation of the Tonal Component of Sound Using a Discrete Fourier Transform of Variable Length
title_short Active Cancellation of the Tonal Component of Sound Using a Discrete Fourier Transform of Variable Length
title_sort active cancellation of the tonal component of sound using a discrete fourier transform of variable length
topic active noise control
tonal signal
Discrete Fourier Transform.
url https://acoustics.ippt.pan.pl/index.php/aa/article/view/2868
work_keys_str_mv AT michałłuczynski activecancellationofthetonalcomponentofsoundusingadiscretefouriertransformofvariablelength
AT andrzejdobrucki activecancellationofthetonalcomponentofsoundusingadiscretefouriertransformofvariablelength
AT stefanbrachmanski activecancellationofthetonalcomponentofsoundusingadiscretefouriertransformofvariablelength