Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks

Joint Authors

Wang, Huali
Li, Xiaomin
Lv, Wanghan
Luo, Haichao

Source

Complexity

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

Philosophy

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