![](/images/graphics-bg.png)
The Wigner-Ville Distribution Based on the Linear Canonical Transform and Its Applications for QFM Signal Parameters Estimation
Joint Authors
Song, Yu-E
Wang, Xiao-Yan
Bu, Hong-Xia
Zhang, Xiao-Yan
Shang, Chun-Heng
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The Wigner-Ville distribution (WVD) based on the linear canonical transform (LCT) (WDL) not only has the advantages of the LCT but also has the good properties of WVD.
In this paper, some new and important properties of the WDL are derived, and the relationships between WDL and some other time-frequency distributions are discussed, such as the ambiguity function based on LCT (LCTAF), the short-time Fourier transform (STFT), and the wavelet transform (WT).
The WDLs of some signals are also deduced.
A novel definition of the WVD based on the LCT and generalized instantaneous autocorrelation function (GWDL) is proposed and its applications in the estimation of parameters for QFM signals are also discussed.
The GWDL of the QFM signal generates an impulse and the third-order phase coefficient of QFM signal can be estimated in accordance with the position information of such impulse.
The proposed algorithm is fast because it only requires 1-dimensional maximization.
Also the new algorithm only has fourth-order nonlinearity thus it has accurate estimation and low signal-to-noise ratio (SNR) threshold.
The simulation results are provided to support the theoretical results.
American Psychological Association (APA)
Song, Yu-E& Zhang, Xiao-Yan& Shang, Chun-Heng& Bu, Hong-Xia& Wang, Xiao-Yan. 2014. The Wigner-Ville Distribution Based on the Linear Canonical Transform and Its Applications for QFM Signal Parameters Estimation. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-477887
Modern Language Association (MLA)
Song, Yu-E…[et al.]. The Wigner-Ville Distribution Based on the Linear Canonical Transform and Its Applications for QFM Signal Parameters Estimation. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-477887
American Medical Association (AMA)
Song, Yu-E& Zhang, Xiao-Yan& Shang, Chun-Heng& Bu, Hong-Xia& Wang, Xiao-Yan. The Wigner-Ville Distribution Based on the Linear Canonical Transform and Its Applications for QFM Signal Parameters Estimation. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-477887
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477887