Open AccessShort-time Fourier Transform Using Odd Symmetric Window Function
Author(s) -
Miaofen Li,
AUTHOR_ID,
Youmin Liu,
Tianyang Wang,
Fulei Chu,
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AUTHOR_ID,
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Publication year - 2021
Publication title -
journal of dynamics, monitoring and diagnostics
Language(s) - English
Resource type - Journals
eISSN - 2833-650X
pISSN - 2831-5308
DOI - 10.37965/jdmd.v2i2.39
Subject(s) - short time fourier transform , window function , fourier transform , window (computing) , function (biology) , time–frequency analysis , instantaneous phase , algorithm , amplitude , computer science , time–frequency representation , mathematics , fourier analysis , mathematical analysis , physics , telecommunications , spectral density , optics , radar , evolutionary biology , biology , operating system
In this paper, a novel time-frequency (TF) analysis method, called the short-time Fourier transform using odd symmetric window function (OSTFT), is proposed by using odd symmetric window function to replace the conventional even window function of STFT. Different from conventional STFT acquiring the amplitude maximum at time and frequency centers, OSTFT acquires the minimum amplitude of 0. Hence, OSTFT can obtain a TFR with high TF resolution by utilizing the leaked energy rather than restraining it. It is worth to mention that the proposed OSTFT can vitiate the effect of window size we choose on the TFR obtained. Furthermore, it also has a good performance on signals with complex instantaneous frequencies (IF), even crossing IFs. Because we just replace the conventional window function of STFT, the time-consuming of the proposed OSTFT is at the same level as the conventional STFT. The effectiveness of proposed OSTFT has been validated on two complex multi-component simulated numerical signals and a signal collected from the brown bat.