Sinusoidal Frequency Modulation Fourier-Bessel Series for Multicomponent SFM Signal Estimation and Separation
Joint Authors
He, Qi-fang
Sun, Li
Zhang, Qun
Luo, Ying
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-12
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Multicomponent sinusoidal frequency modulated (SFM) signals are widely used in radar, acoustics, and biomedicine.
The instantaneous frequency (IF) characterizes important physical parameters of the real applications.
In this paper, a sinusoidal frequency modulation Fourier-Bessel (SFMFB) series is defined for IF estimation.
It provides the signal decomposition on the Bessel function basis with a finer resolution, which proposes an extension of the performance and the applicability of the classic Fourier-Bessel transform (FBT).
Based on the property analysis of the SFMFB series, an algorithm of IF estimation and signal separation is introduced.
Unlike the existing estimation methods which apply sliding windows to make an instantaneous approximation, the proposed method uses the global data, which provides a longer period gain, therefore achieving a better estimation performance.
Moreover, considering that most estimation methods are invalid in multicomponent separation, the individual signals are well separated by the proposed algorithm, which facilitates the further monocomponent analysis.
A performance comparison between the proposed method, the FBT, and another recently proposed sinusoidal frequency modulation Fourier transform (SFMFT) is also provided.
Simulation results indicate that the proposed method outperforms the existing methods in estimation precision and computation load, and it is free of interference which exists in SFMFT.
American Psychological Association (APA)
He, Qi-fang& Zhang, Qun& Luo, Ying& Sun, Li. 2017. Sinusoidal Frequency Modulation Fourier-Bessel Series for Multicomponent SFM Signal Estimation and Separation. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1190814
Modern Language Association (MLA)
He, Qi-fang…[et al.]. Sinusoidal Frequency Modulation Fourier-Bessel Series for Multicomponent SFM Signal Estimation and Separation. Mathematical Problems in Engineering No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1190814
American Medical Association (AMA)
He, Qi-fang& Zhang, Qun& Luo, Ying& Sun, Li. Sinusoidal Frequency Modulation Fourier-Bessel Series for Multicomponent SFM Signal Estimation and Separation. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1190814
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190814