Study on Performance of Wigner Ville Distribution for Linear FM and Transient Signal Analysis
This research paper presents some methods to assess the performance of Wigner Ville Distribution for Time-Frequency representation of non-stationary signals, in comparison with the other representations like STFT, Spectrogram etc. The simultaneous timefrequency resolution of WVD is one of the important properties which makes it preferable for analysis and detection of linear FM and transient signals. There are two algorithms proposed here to assess the resolution and to compare the performance of signal detection. First method is based on the measurement of area under timefrequency plot; in case of a linear FM signal analysis. A second method is based on the instantaneous power calculation and is used in case of transient, non-stationary signals. The implementation is explained briefly for both methods with suitable diagrams. The accuracy of the measurements is validated to show the better performance of WVD representation in comparison with STFT and Spectrograms.
[1] Roberto Celi, "Time-Frequency analysis of helicopter noise" Alfred
Gessow Rotorcraft Center, Department of Aerospace Engineering,
University of Maryland, College Park, 2007
[2] G. Faye, Boudreaux-Bartels,"Mixed Time Frequency Signal
Transformations", University of Rhode Island, 1996
[3] F. Hlawatsch, G.F Boudreaux-Bartels, "Linear and Quadratic Time
Frequency Representations", 1992
[4] Ning Ma, Didier Vray, Philippe Delachartre, GCrard Gimenez, "Timefrequency
representation of multicomponent chirp signals", CREATES
CNRS Research Unit (UMR5515), qfiliated to INSERM, INSA 502,
69621 Villeurhanne, France, 20 September 1996
[5] Preeti Rao and Fred J. Taylor, "Detection and localization of narrow
band transient signals using the Wigner distribution", Dept. of Electrical
Engineering, University of Florida, J. Acoust. Soc. Am. Volume 90,
Issue 3, pp. 1423-1434, 1991
[6] Guillermo G. Gaunaurd, "Applications of (Wigner-Type) Time-
Frequency Distributions to Sonar and Radar Signal Analysis", Army
Research Laboratory, Adelphi, Hans C. Strifors, Defense Research
Agency (FOI), Sweden, 2003
[7] Xue W and Sun X.W, "Multiple targets detection method based on
binary hough transform and adaptive time-frequency filtering", Progress
In Electromagnetics Research, PIER 74, 309-317, 2007
[8] Hu Guangshu, "Dsp-theory, algorithm and implementation," Tsinghua
publishing house, 1997
[9] Luo zhuanyi, Cheng guifen, "Random signal process and controlling
foundation," Chemistry industry publishing house, 2002
[10] "Analyse methods for audio signal detected from water leakage spot",
Yang Lijian, Fang Yuchang, and Gao Songwei, Shenyang University of
Technology, Shenyang, China, 2011
[11] I. Iancu, G. Canureci, E.Iancu, M. Vinatoru, "Spectral Analysis of the
Heart Sounds for Medical Diagnosis", Department of Physiology,
Medical Informatics and Biostatistics, University of Medicine and
Pharmacy of Craiova, Craiova, Romania, 2008
[12] Robert A Stepien, "New method for analysis of nonstationary signals",
Nonlinear Biomedical Physics, http://www.nonlinearbiomedphys.com,
2011
[13] P. Bonato, Z. Erim, J. A. Gonzalez Cueto, " Decomposition of
superimposed waveforms using the cross time frequency transform ",
Neuro-Muscular Research Center, Boston University, Boston, MA USA,
2000
[14] S. Femmam, "Failures detection and estimation of non-stationary signals
by time-scale frequency techniques", American Journal of Scientific and
Industrial Research, 2010
[1] Roberto Celi, "Time-Frequency analysis of helicopter noise" Alfred
Gessow Rotorcraft Center, Department of Aerospace Engineering,
University of Maryland, College Park, 2007
[2] G. Faye, Boudreaux-Bartels,"Mixed Time Frequency Signal
Transformations", University of Rhode Island, 1996
[3] F. Hlawatsch, G.F Boudreaux-Bartels, "Linear and Quadratic Time
Frequency Representations", 1992
[4] Ning Ma, Didier Vray, Philippe Delachartre, GCrard Gimenez, "Timefrequency
representation of multicomponent chirp signals", CREATES
CNRS Research Unit (UMR5515), qfiliated to INSERM, INSA 502,
69621 Villeurhanne, France, 20 September 1996
[5] Preeti Rao and Fred J. Taylor, "Detection and localization of narrow
band transient signals using the Wigner distribution", Dept. of Electrical
Engineering, University of Florida, J. Acoust. Soc. Am. Volume 90,
Issue 3, pp. 1423-1434, 1991
[6] Guillermo G. Gaunaurd, "Applications of (Wigner-Type) Time-
Frequency Distributions to Sonar and Radar Signal Analysis", Army
Research Laboratory, Adelphi, Hans C. Strifors, Defense Research
Agency (FOI), Sweden, 2003
[7] Xue W and Sun X.W, "Multiple targets detection method based on
binary hough transform and adaptive time-frequency filtering", Progress
In Electromagnetics Research, PIER 74, 309-317, 2007
[8] Hu Guangshu, "Dsp-theory, algorithm and implementation," Tsinghua
publishing house, 1997
[9] Luo zhuanyi, Cheng guifen, "Random signal process and controlling
foundation," Chemistry industry publishing house, 2002
[10] "Analyse methods for audio signal detected from water leakage spot",
Yang Lijian, Fang Yuchang, and Gao Songwei, Shenyang University of
Technology, Shenyang, China, 2011
[11] I. Iancu, G. Canureci, E.Iancu, M. Vinatoru, "Spectral Analysis of the
Heart Sounds for Medical Diagnosis", Department of Physiology,
Medical Informatics and Biostatistics, University of Medicine and
Pharmacy of Craiova, Craiova, Romania, 2008
[12] Robert A Stepien, "New method for analysis of nonstationary signals",
Nonlinear Biomedical Physics, http://www.nonlinearbiomedphys.com,
2011
[13] P. Bonato, Z. Erim, J. A. Gonzalez Cueto, " Decomposition of
superimposed waveforms using the cross time frequency transform ",
Neuro-Muscular Research Center, Boston University, Boston, MA USA,
2000
[14] S. Femmam, "Failures detection and estimation of non-stationary signals
by time-scale frequency techniques", American Journal of Scientific and
Industrial Research, 2010
@article{"International Journal of Electrical, Electronic and Communication Sciences:56545", author = "Azeemsha Thacham Poyil and Nasimudeen KM", title = "Study on Performance of Wigner Ville Distribution for Linear FM and Transient Signal Analysis", abstract = "This research paper presents some methods to assess the performance of Wigner Ville Distribution for Time-Frequency representation of non-stationary signals, in comparison with the other representations like STFT, Spectrogram etc. The simultaneous timefrequency resolution of WVD is one of the important properties which makes it preferable for analysis and detection of linear FM and transient signals. There are two algorithms proposed here to assess the resolution and to compare the performance of signal detection. First method is based on the measurement of area under timefrequency plot; in case of a linear FM signal analysis. A second method is based on the instantaneous power calculation and is used in case of transient, non-stationary signals. The implementation is explained briefly for both methods with suitable diagrams. The accuracy of the measurements is validated to show the better performance of WVD representation in comparison with STFT and Spectrograms.
", keywords = "WVD: Wigner Ville Distribution, STFT: Short Time Fourier Transform, FT: Fourier Transform, TFR: Time-Frequency Representation, FM: Frequency Modulation, LFM Signal: Linear FM Signal, JTFA: Joint time frequency analysis.", volume = "6", number = "8", pages = "803-4", }
