Short-time Fourier Transform Using Odd Symmetric Window Function

Authors

  • Miaofen Li Department of Mechanical Engineering, Tsinghua University, Beijing , China
  • Youmin Liu Beijing Institute of Space Launch Technology, Beijing, China
  • Shaodan Zhi Beijing Jiaotong University, Beijing, China
  • Tianyang Wang Department of Mechanical Engineering, Tsinghua University, Beijing, China
  • Fulei Chu Department of Mechanical Engineering, Tsinghua University, Beijing, China

DOI:

https://doi.org/10.37965/jdmd.v2i2.39

Keywords:

STFT, instantaneous frequency (IF), time-frequency analysis

Abstract

In this paper, a novel time–frequency (TF) analysis method, called the short-time Fourier transform using odd symmetric window function (OSTFT), is proposed 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 TF representation (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 (IFs), 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.

Author Biography

Tianyang Wang, Department of Mechanical Engineering, Tsinghua University, Beijing, China

Mainly engaged in research work in the field of fault diagnosis and signal analysis of large rotating machinery such as wind turbines and aero engines. Research directions: Modern signal processing, Dynamic modeling, Artificial intelligence, Pattern recognition.

 

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Published

2021-12-21

How to Cite

Li, M., Liu, Y., Zhi, S., Wang, T., & Chu, F. (2021). Short-time Fourier Transform Using Odd Symmetric Window Function. Journal of Dynamics, Monitoring and Diagnostics, 1(1), 37–45. https://doi.org/10.37965/jdmd.v2i2.39

Issue

Section

Regular Article