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.

# 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).
• 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)
• 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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