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A Fine Resolution Frequency Estimation Method for Noisy Signal and its Application

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Abstract

Introduction

The frequency interpolation estimation method based on the discrete Fourier transform is susceptible to being affected by noise, resulting in interpolation error.

Purpose

The present work attempts to improve the frequency estimation accuracy while retaining the high efficiency, and consider its application in mechanical vibration engineering.

Methods

A fine resolution frequency estimation method with the third-order frequency deviation estimation is proposed. The first deviation estimation is a coarse estimation, the results of the Rife and Quinn method are used as a coarse estimate of frequency deviation. Then the second estimation is deviation shifted, by judging whether the difference between the initially estimated frequency and the maximum spectral line frequency is located in the center of two adjacent quantization frequency points of DFT, the first estimated deviation is shifted to the effective spectral deviation range. Finally, the third estimation is accurately estimated, the maximum and minimum values of the effective spectrum range are calculated and interpolated.

Conclusion

Simulation and experimental results show that the proposed method has high-frequency estimation accuracy. The proposed method is better than other frequency estimation methods under the same simulation and test conditions. The proposed method has excellent application in mechanical vibration fault diagnosis engineering.

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Acknowledgements

The authors would like to sincerely thank the editors and anonymous reviewers for their valuable comments. The research was supported by the National Key Research and Development Program of China (2018YFB2003300).

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Authors and Affiliations

  1. College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, People’s Republic of China

    Kai Chen, Minxiang Wei, Xinda Chen & Shunming Li

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  1. Kai Chen
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Correspondence to Minxiang Wei.

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Chen, K., Wei, M., Chen, X. et al. A Fine Resolution Frequency Estimation Method for Noisy Signal and its Application. J. Vib. Eng. Technol. 10, 285–297 (2022). https://doi.org/10.1007/s42417-021-00376-w

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