Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks
Joint Authors
Wang, Huali
Li, Xiaomin
Lv, Wanghan
Luo, Haichao
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-17
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The coprime discrete Fourier transform (DFT) filter banks provide an effective scheme of spectral sensing for wide-sense stationary (WSS) signals in case that the sampling rate is far lower than the Nyquist sampling rate.
And the resolution of the coprime DFT filter banks in the Fourier domain (FD) is 2π/MN, where M and N are coprime.
In this work, a digital fractional Fourier transform- (DFrFT-) based coprime filter banks spectrum sensing method is suggested.
Our proposed method has the same sampling principle as the coprime DFT filter banks but has some advantages compared to the coprime DFT filter banks.
Firstly, the fractional power spectrum of the chirp-stationary signals which are nonstationary in the FD can be sensed effectively by the coprime DFrFT filter banks because of the linear time-invariant (LTI) property of the proposed system in discrete-time Fourier domain (DTFD), while the coprime DFT filter banks can only sense the power spectrum of the WSS signals.
Secondly, the coprime DFrFT filter banks improve the resolution from 2π/MN to 2π sin α/MN by combining the fractional filter banks theory with the coprime theory.
Simulation results confirm the obtained analytical results.
American Psychological Association (APA)
Li, Xiaomin& Wang, Huali& Lv, Wanghan& Luo, Haichao. 2020. Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks. Complexity،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1141085
Modern Language Association (MLA)
Lv, Wanghan…[et al.]. Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks. Complexity No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1141085
American Medical Association (AMA)
Li, Xiaomin& Wang, Huali& Lv, Wanghan& Luo, Haichao. Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks. Complexity. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1141085
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1141085