LIU Lubo, LUO Maokang, LAI Li. Instantaneous Frequency Estimation Based on the Wigner-Ville Distribution Associated with Linear Canonical Transform (WDL)[J]. Chinese Journal of Electronics, 2018, 27(1): 123-127. doi: 10.1049/cje.2017.07.009
Citation: LIU Lubo, LUO Maokang, LAI Li. Instantaneous Frequency Estimation Based on the Wigner-Ville Distribution Associated with Linear Canonical Transform (WDL)[J]. Chinese Journal of Electronics, 2018, 27(1): 123-127. doi: 10.1049/cje.2017.07.009

Instantaneous Frequency Estimation Based on the Wigner-Ville Distribution Associated with Linear Canonical Transform (WDL)

doi: 10.1049/cje.2017.07.009
Funds:  This work is supported by the National Natural Science Foundation of Youth Science Foundation of China (No.11401405).
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  • Corresponding author: LAI Li (corresponding author) was born in Sichuan Province, China, in 1983. She received the Ph.D. degree from Sichuan University, China, in 2014. She is a lecturer in College of Mathematics of Sichuan University. Her main research interests include uncertainty processing and signal processing. (Email:laill2006@163.com)
  • Received Date: 2015-09-23
  • Rev Recd Date: 2016-03-02
  • Publish Date: 2018-01-10
  • The Instantaneous frequency (IF) is a basic concept in theory and application of signal processing. Wigner-Ville distribution (WVD) is a powerful tool in IF estimation, but it is sensitive to the noise. The Linear canonical transform (LCT) has been proved to be very powerful for non-stationary signal processing. A new definition of Wigner-Ville distribution associated with the linear canonical transform (WDL) has been put forward. In this case, this paper proposes a new IF estimation method which is suitable for processing non-stationary signals. This new method is useful in IF estimation. This new method is more accurate and antinoise than the one based on the WVD. Simulations demonstrated the derived results.
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  • M. Moshinsky and C. Quesne, "Linear canonical transformations and their unitary representations", Journal of Mathematical Physics, Vol.12, No.8, pp.1772-1780, 1971.
    T.Z. Xu and B.Z. Li, Linear Canonical Transform and Its Applications, Beijing, China:Science Press, 2013.
    D. Wei, Q. Ran, Y.M. Li, et al., "A convolution and product theorem for the linear canonical transform", IEEE Signal Processing Letters, Vol.16, No.10, pp.853-856, 2009.
    J. Zhao, R. Tao, Y.L. Li, et al., "Uncertainty principles for linear canonical transform", IEEE Transactions on Signal Processing, Vol.57, No.7, pp.2856-2858, 2009.
    A. Stern, "Sampling of linear canonical transformed signals", Signal Processing, Vol.86, No.7, pp.1421-1425, 2006.
    D. Wei and Y.M Li, "Reconstruction of multidimensional bandlimited signals from multichannel samples in the linear canonical transform domain", IET Signal Processing, Vol.8, No.6, pp.647-657, 2014.
    D. Wei and Y.M. Li, "The dual extensions of sampling and series expansion theorems for the linear canonical transform", Optik-International Journal for Light and Electron Optics, Vol.126, No.24, pp.5163-5167, 2015.
    B. Barshan, M.A. Kutay and H.M. Ozaktas, "Optimal filtering with linear canonical transformations", Optics Communications, Vol.135, No.1, pp.32-36, 1997.
    S. Shinde, "Two channel paraunitary filter banks based on linear canonical transform", IEEE Transactions on Signal Processing, Vol.59, No.2, pp.832-836, 2011.
    S.C. Pei and J.J. Ding, "Relations between fractional operations and time-frequency distributions and their applications", IEEE Transactions on Signal Processing, Vol.49, No.8, pp.1638-1655, 2001.
    J. Shi, X. Sha, Q. Zhang, et al., "Extrapolation of band-limited signals in linear canonical transform domain", IEEE Transactions on Signal Processing, Vol.60, No.3, pp.1502-1508, 2012.
    Z.C. Zhang and M.K. Luo, "New integral transforms for generalizing the winer distribution and ambiguity function", IEEE Signal Processing Letters, Vol.22, No.4, pp.460-464, 2015.
    X.N. Xu, B.Z. Li and X.L. Ma, "Instantaneous frequency estimation based on the linear canonical transform", Journal of the Franklin Institute, Vol.349, No.349, pp.3185-3193, 2012.
    D. Wei and Y.M Li, "Linear canonical wigner distribution and its application", Optik-International Journal for Light and Electron Optics, Vol.125, No.1, pp.89-92, 2014.
    B. Boashash, "Estimating and interpreting the instantaneous frequency of a signal, Part 1:Fundamentals", Proceedings of the IEEE, Vol.80, No.4, pp.520-538, 1992.
    B. Boashash, "Estimating and interpreting the instantaneous frequency of a signal, Part 2:Algorithms and application", Proceedings of the IEEE, Vol.80, No.4, pp.540-568, 1992.
    L. Cohen and C. Lee, "Instantaneous frequency and timefrequency distributions", IEEE International Symposium on Circuits and Systems, pp.1231-1234, 1989.
    R.F. Bai, B.Z. Li and Q.Y. Cheng, "Wigner-Ville distribution associated with the linear canonical transform", Journal of Applied Mathematics, Vol.2012, No.10, pp.1-9, 2012.
    J.R. Carson and T.C. Fry, "Variable frequency electric circuit theory with application to the theory of frequency-modulation", Bell System Technology Journal, Vol.16, No.4, pp.513-540, 1937.
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