A frequency estimation method for two adjacent frequencies

•Rather than based on the main lobe, the proposed method based on the first side-lobes.•The proposed method suitable for the estimation of two closely adjacent two frequencies.•When the distance of two frequencies is bigger than 1.5 bins, the maximum estimation error is 0.07 bins. The frequency-doma...

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Published inMeasurement : journal of the International Measurement Confederation Vol. 157; p. 107614
Main Authors Li, Rui, Xuan, Jianping, Shi, Tielin
Format Journal Article
LanguageEnglish
Published London Elsevier Ltd 01.06.2020
Elsevier Science Ltd
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Abstract •Rather than based on the main lobe, the proposed method based on the first side-lobes.•The proposed method suitable for the estimation of two closely adjacent two frequencies.•When the distance of two frequencies is bigger than 1.5 bins, the maximum estimation error is 0.07 bins. The frequency-domain estimation methods are estimate frequency from main-lobe. One shortcoming of these methods lies in the fact that they are not suited to two adjacent frequency components. When the distance between two frequency components is less than 3 DFT bins, former methods are subject to severe spectral interference, which results in considerable errors of estimate. In this paper, a discovery is made that side-lobes have relatively smaller spectral interference as compared to main-lobe, for which a novel estimation method based on the first side-lobes is proposed. As demonstrated by simulation, the proposed method performs better in two adjacent frequency components estimation. When the distance between two frequency components reaches 1.5 bins, the maximum estimation error is approximately 0.07 bins for the two frequencies.
AbstractList The frequency-domain estimation methods are estimate frequency from main-lobe. One shortcoming of these methods lies in the fact that they are not suited to two adjacent frequency components. When the distance between two frequency components is less than 3 DFT bins, former methods are subject to severe spectral interference, which results in considerable errors of estimate. In this paper, a discovery is made that side-lobes have relatively smaller spectral interference as compared to main-lobe, for which a novel estimation method based on the first side-lobes is proposed. As demonstrated by simulation, the proposed method performs better in two adjacent frequency components estimation. When the distance between two frequency components reaches 1.5 bins, the maximum estimation error is approximately 0.07 bins for the two frequencies.
•Rather than based on the main lobe, the proposed method based on the first side-lobes.•The proposed method suitable for the estimation of two closely adjacent two frequencies.•When the distance of two frequencies is bigger than 1.5 bins, the maximum estimation error is 0.07 bins. The frequency-domain estimation methods are estimate frequency from main-lobe. One shortcoming of these methods lies in the fact that they are not suited to two adjacent frequency components. When the distance between two frequency components is less than 3 DFT bins, former methods are subject to severe spectral interference, which results in considerable errors of estimate. In this paper, a discovery is made that side-lobes have relatively smaller spectral interference as compared to main-lobe, for which a novel estimation method based on the first side-lobes is proposed. As demonstrated by simulation, the proposed method performs better in two adjacent frequency components estimation. When the distance between two frequency components reaches 1.5 bins, the maximum estimation error is approximately 0.07 bins for the two frequencies.
ArticleNumber 107614
Author Xuan, Jianping
Li, Rui
Shi, Tielin
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Cites_doi 10.1016/j.sigpro.2006.09.014
10.1016/j.ymssp.2015.09.045
10.1016/j.ymssp.2010.08.009
10.1002/j.1538-7305.1970.tb01766.x
10.1016/j.measurement.2008.08.006
10.1109/19.137352
10.1016/j.measurement.2014.09.039
10.1016/j.ymssp.2014.08.023
10.1016/0165-1684(86)90035-6
10.1006/mssp.2000.1321
10.1016/j.ymssp.2004.08.002
10.1109/TIM.1983.4315077
10.1006/mssp.2001.1465
10.1007/BF02456978
10.1109/19.52516
10.1006/mssp.1999.1284
10.1109/78.295186
10.1109/19.50426
10.1109/TIM.1979.4314779
10.1109/19.137357
10.1109/TIT.1974.1055282
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Keywords Spectral interference
Frequency estimation
Side-lobe
Zero padding
Multi frequency components
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References Quinn (b0025) 1994
Santamaria, Pantaleon, Ibanez (b0095) 2000
Diao, Meng (b0120) 2015; 59
Offelli, Petri (b0090) 1992
Luo, Xie (b0065) 2015
Rife, Vincent (b0010) 1970
McMahon, Barrett (b0060) 1986
Luo, Xie, Xie (b0105) 2016
Huibin, Kang, Chuanyan (b0050) 2010; 23
D. Kang, X. Ming, Y. Zhijiang, The theory and technology of discrete spectrum correction, Chinese Science Publishing Company, 2008.
K. Ding, D. Cao, W. Li, An approach to discrete spectrum correction based on energy centroid, 2006.
Jain, Collins, Davis (b0020) 1979
Schoukens, Pintelon, Van Hamme (b0085) 1992
Kang, Jiang-kai, Ming (b0075) 2002
Grandke (b0015) 1983
Zhu, Song, Li, Ding (b0080) 2007
Offelli, Petri (b0045) 1990
Offelli, Petri (b0035) 1990
Belega, Dallet (b0030) 2009
Huibin, Kang (b0005) 2011
Zhu, Li, Ding (b0115) 2005
D. Kang, C. Jianlin, S. Xiangrong, Development in vibration signal analysis and processing methods, J. Vib. Eng. Chinese. 25 (2003).
Kang, Ming, Xiaofei (b0055) 2000
Rife, Boorstyn (b0130) 1974
Zhu, Li, Ding, Xiong (b0070) 2002
C. Dorf, Circuits, Signals, and Speech and Image Processing, 2010.
Quinn (10.1016/j.measurement.2020.107614_b0025) 1994
10.1016/j.measurement.2020.107614_b0100
McMahon (10.1016/j.measurement.2020.107614_b0060) 1986
10.1016/j.measurement.2020.107614_b0040
Luo (10.1016/j.measurement.2020.107614_b0105) 2016
Zhu (10.1016/j.measurement.2020.107614_b0115) 2005
10.1016/j.measurement.2020.107614_b0125
Huibin (10.1016/j.measurement.2020.107614_b0005) 2011
Zhu (10.1016/j.measurement.2020.107614_b0070) 2002
Luo (10.1016/j.measurement.2020.107614_b0065) 2015
Rife (10.1016/j.measurement.2020.107614_b0130) 1974
10.1016/j.measurement.2020.107614_b0110
Kang (10.1016/j.measurement.2020.107614_b0055) 2000
Rife (10.1016/j.measurement.2020.107614_b0010) 1970
Zhu (10.1016/j.measurement.2020.107614_b0080) 2007
Huibin (10.1016/j.measurement.2020.107614_b0050) 2010; 23
Diao (10.1016/j.measurement.2020.107614_b0120) 2015; 59
Kang (10.1016/j.measurement.2020.107614_b0075) 2002
Jain (10.1016/j.measurement.2020.107614_b0020) 1979
Belega (10.1016/j.measurement.2020.107614_b0030) 2009
Grandke (10.1016/j.measurement.2020.107614_b0015) 1983
Santamaria (10.1016/j.measurement.2020.107614_b0095) 2000
Offelli (10.1016/j.measurement.2020.107614_b0035) 1990
Offelli (10.1016/j.measurement.2020.107614_b0090) 1992
Offelli (10.1016/j.measurement.2020.107614_b0045) 1990
Schoukens (10.1016/j.measurement.2020.107614_b0085) 1992
References_xml – year: 2016
  ident: b0105
  article-title: Interpolated DFT algorithms with zero padding for classic windows
  publication-title: Mech. Syst. Signal Process.
– year: 2005
  ident: b0115
  article-title: Estimation of multi-frequency signal parameters by frequency domain non-linear least squares
  publication-title: Mech. Syst. Signal Process.
– volume: 59
  start-page: 44
  year: 2015
  end-page: 50
  ident: b0120
  article-title: Frequency estimation by iterative interpolation based on leakage compensation
  publication-title: Measurement
– year: 1974
  ident: b0130
  article-title: Single-tone parameter estimation from discrete-time observations
  publication-title: Inf. Theory, IEEE Trans.
– reference: C. Dorf, Circuits, Signals, and Speech and Image Processing, 2010.
– year: 2007
  ident: b0080
  article-title: High accuracy estimation of multi-frequency signal parameters by improved phase linear regression
  publication-title: Signal Process.
– year: 1990
  ident: b0035
  article-title: Interpolation techniques for real-time multifrequency waveform analysis
  publication-title: IEEE Trans. Instrum. Meas.
– year: 1990
  ident: b0045
  article-title: A frequency-domain procedure for accurate real-time signal parameter measurement
  publication-title: IEEE Trans. Instrum. Meas.
– year: 1992
  ident: b0085
  article-title: The interpolated fast Fourier transform: a comparative study
  publication-title: IEEE Trans. Instrum. Meas.
– reference: K. Ding, D. Cao, W. Li, An approach to discrete spectrum correction based on energy centroid, 2006.
– year: 1994
  ident: b0025
  article-title: Estimating frequency by interpolation using fourier coefficients
  publication-title: IEEE Trans. Signal Process.
– year: 2002
  ident: b0070
  article-title: Noise influence on estimation of signal parameter from the phase difference of discrete Fourier transforms
  publication-title: Mech. Syst. Signal Process.
– year: 1979
  ident: b0020
  article-title: High-accuracy analog measurements via interpolated FFT
  publication-title: IEEE Trans. Instrum. Meas.
– reference: D. Kang, C. Jianlin, S. Xiangrong, Development in vibration signal analysis and processing methods, J. Vib. Eng. Chinese. 25 (2003).
– year: 1992
  ident: b0090
  article-title: The influence of windowing on the accuracy of multifrequency signal parameter estimation
  publication-title: IEEE Trans. Instrum. Meas.
– year: 2011
  ident: b0005
  article-title: Energy based signal parameter estimation method and a comparative study of different frequency estimators
  publication-title: Mech. Syst. Signal Process.
– year: 2009
  ident: b0030
  article-title: Multifrequency signal analysis by Interpolated DFT method with maximum sidelobe decay windows
  publication-title: Meas. J. Int. Meas. Confed.
– year: 2015
  ident: b0065
  article-title: Phase difference methods based on asymmetric windows
  publication-title: Mech. Syst. Signal Process.
– year: 2002
  ident: b0075
  article-title: Time-shifting correcting method of phase difference on discrete spectrum
  publication-title: Appl. Math. Mech.
– year: 1986
  ident: b0060
  article-title: An efficient method for the estimation of the frequency of a single tone in noise from the phases of discrete fourier transforms
  publication-title: Signal Process.
– volume: 23
  year: 2010
  ident: b0050
  article-title: Anti-noise performance of the FT continuous zoom analysis method for discrete spectrum
  publication-title: Chinese J. Mech. Eng.
– year: 1970
  ident: b0010
  article-title: Use of the discrete fourier transform in the measurement of frequencies and levels of tones
  publication-title: Bell Syst. Tech. J.
– year: 1983
  ident: b0015
  article-title: Interpolation algorithms for discrete fourier transforms of weighted signals
  publication-title: IEEE Trans. Instrum. Meas.
– year: 2000
  ident: b0095
  article-title: A comparative study of high-accuracy frequency estimation methods
  publication-title: Mech. Syst. Signal Process.
– year: 2000
  ident: b0055
  article-title: Phase difference correction method for phase and frequency in spectral analysis
  publication-title: Mech. Syst. Signal Process.
– reference: D. Kang, X. Ming, Y. Zhijiang, The theory and technology of discrete spectrum correction, Chinese Science Publishing Company, 2008.
– ident: 10.1016/j.measurement.2020.107614_b0100
– year: 2007
  ident: 10.1016/j.measurement.2020.107614_b0080
  article-title: High accuracy estimation of multi-frequency signal parameters by improved phase linear regression
  publication-title: Signal Process.
  doi: 10.1016/j.sigpro.2006.09.014
– ident: 10.1016/j.measurement.2020.107614_b0125
– year: 2016
  ident: 10.1016/j.measurement.2020.107614_b0105
  article-title: Interpolated DFT algorithms with zero padding for classic windows
  publication-title: Mech. Syst. Signal Process.
  doi: 10.1016/j.ymssp.2015.09.045
– year: 2011
  ident: 10.1016/j.measurement.2020.107614_b0005
  article-title: Energy based signal parameter estimation method and a comparative study of different frequency estimators
  publication-title: Mech. Syst. Signal Process.
  doi: 10.1016/j.ymssp.2010.08.009
– year: 1970
  ident: 10.1016/j.measurement.2020.107614_b0010
  article-title: Use of the discrete fourier transform in the measurement of frequencies and levels of tones
  publication-title: Bell Syst. Tech. J.
  doi: 10.1002/j.1538-7305.1970.tb01766.x
– year: 2009
  ident: 10.1016/j.measurement.2020.107614_b0030
  article-title: Multifrequency signal analysis by Interpolated DFT method with maximum sidelobe decay windows
  publication-title: Meas. J. Int. Meas. Confed.
  doi: 10.1016/j.measurement.2008.08.006
– year: 1992
  ident: 10.1016/j.measurement.2020.107614_b0085
  article-title: The interpolated fast Fourier transform: a comparative study
  publication-title: IEEE Trans. Instrum. Meas.
  doi: 10.1109/19.137352
– ident: 10.1016/j.measurement.2020.107614_b0110
– volume: 59
  start-page: 44
  year: 2015
  ident: 10.1016/j.measurement.2020.107614_b0120
  article-title: Frequency estimation by iterative interpolation based on leakage compensation
  publication-title: Measurement
  doi: 10.1016/j.measurement.2014.09.039
– year: 2015
  ident: 10.1016/j.measurement.2020.107614_b0065
  article-title: Phase difference methods based on asymmetric windows
  publication-title: Mech. Syst. Signal Process.
  doi: 10.1016/j.ymssp.2014.08.023
– year: 1986
  ident: 10.1016/j.measurement.2020.107614_b0060
  article-title: An efficient method for the estimation of the frequency of a single tone in noise from the phases of discrete fourier transforms
  publication-title: Signal Process.
  doi: 10.1016/0165-1684(86)90035-6
– year: 2000
  ident: 10.1016/j.measurement.2020.107614_b0095
  article-title: A comparative study of high-accuracy frequency estimation methods
  publication-title: Mech. Syst. Signal Process.
  doi: 10.1006/mssp.2000.1321
– year: 2005
  ident: 10.1016/j.measurement.2020.107614_b0115
  article-title: Estimation of multi-frequency signal parameters by frequency domain non-linear least squares
  publication-title: Mech. Syst. Signal Process.
  doi: 10.1016/j.ymssp.2004.08.002
– year: 1983
  ident: 10.1016/j.measurement.2020.107614_b0015
  article-title: Interpolation algorithms for discrete fourier transforms of weighted signals
  publication-title: IEEE Trans. Instrum. Meas.
  doi: 10.1109/TIM.1983.4315077
– year: 2002
  ident: 10.1016/j.measurement.2020.107614_b0070
  article-title: Noise influence on estimation of signal parameter from the phase difference of discrete Fourier transforms
  publication-title: Mech. Syst. Signal Process.
  doi: 10.1006/mssp.2001.1465
– year: 2002
  ident: 10.1016/j.measurement.2020.107614_b0075
  article-title: Time-shifting correcting method of phase difference on discrete spectrum
  publication-title: Appl. Math. Mech.
  doi: 10.1007/BF02456978
– year: 1990
  ident: 10.1016/j.measurement.2020.107614_b0045
  article-title: A frequency-domain procedure for accurate real-time signal parameter measurement
  publication-title: IEEE Trans. Instrum. Meas.
  doi: 10.1109/19.52516
– ident: 10.1016/j.measurement.2020.107614_b0040
– year: 2000
  ident: 10.1016/j.measurement.2020.107614_b0055
  article-title: Phase difference correction method for phase and frequency in spectral analysis
  publication-title: Mech. Syst. Signal Process.
  doi: 10.1006/mssp.1999.1284
– year: 1994
  ident: 10.1016/j.measurement.2020.107614_b0025
  article-title: Estimating frequency by interpolation using fourier coefficients
  publication-title: IEEE Trans. Signal Process.
  doi: 10.1109/78.295186
– year: 1990
  ident: 10.1016/j.measurement.2020.107614_b0035
  article-title: Interpolation techniques for real-time multifrequency waveform analysis
  publication-title: IEEE Trans. Instrum. Meas.
  doi: 10.1109/19.50426
– year: 1979
  ident: 10.1016/j.measurement.2020.107614_b0020
  article-title: High-accuracy analog measurements via interpolated FFT
  publication-title: IEEE Trans. Instrum. Meas.
  doi: 10.1109/TIM.1979.4314779
– year: 1992
  ident: 10.1016/j.measurement.2020.107614_b0090
  article-title: The influence of windowing on the accuracy of multifrequency signal parameter estimation
  publication-title: IEEE Trans. Instrum. Meas.
  doi: 10.1109/19.137357
– year: 1974
  ident: 10.1016/j.measurement.2020.107614_b0130
  article-title: Single-tone parameter estimation from discrete-time observations
  publication-title: Inf. Theory, IEEE Trans.
  doi: 10.1109/TIT.1974.1055282
– volume: 23
  issue: 6
  year: 2010
  ident: 10.1016/j.measurement.2020.107614_b0050
  article-title: Anti-noise performance of the FT continuous zoom analysis method for discrete spectrum
  publication-title: Chinese J. Mech. Eng.
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Snippet •Rather than based on the main lobe, the proposed method based on the first side-lobes.•The proposed method suitable for the estimation of two closely adjacent...
The frequency-domain estimation methods are estimate frequency from main-lobe. One shortcoming of these methods lies in the fact that they are not suited to...
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SubjectTerms Bins
Estimating techniques
Frequencies
Frequency estimation
Interference
Lobes
Measurement errors
Multi frequency components
Side-lobe
Spectral interference
Zero padding
Title A frequency estimation method for two adjacent frequencies
URI https://dx.doi.org/10.1016/j.measurement.2020.107614
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