Frontiers of Mechanical Engineering

, Volume 13, Issue 2, pp 292–300 | Cite as

Non-stationary signal analysis based on general parameterized time–frequency transform and its application in the feature extraction of a rotary machine

  • Peng Zhou
  • Zhike Peng
  • Shiqian Chen
  • Yang Yang
  • Wenming Zhang
Research Article


With the development of large rotary machines for faster and more integrated performance, the condition monitoring and fault diagnosis for them are becoming more challenging. Since the time-frequency (TF) pattern of the vibration signal from the rotary machine often contains condition information and fault feature, the methods based on TF analysis have been widely-used to solve these two problems in the industrial community. This article introduces an effective non-stationary signal analysis method based on the general parameterized time–frequency transform (GPTFT). The GPTFT is achieved by inserting a rotation operator and a shift operator in the short-time Fourier transform. This method can produce a high-concentrated TF pattern with a general kernel. A multi-component instantaneous frequency (IF) extraction method is proposed based on it. The estimation for the IF of every component is accomplished by defining a spectrum concentration index (SCI). Moreover, such an IF estimation process is iteratively operated until all the components are extracted. The tests on three simulation examples and a real vibration signal demonstrate the effectiveness and superiority of our method.


rotary machines condition monitoring fault diagnosis GPTFT SCI 


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The authors gratefully acknowledge the support provided by the National Natural Science Foundation of China (Grant Nos. 11632011, 11472170, 51421092, and 11572189) to this work.


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Copyright information

© Higher Education Press and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • Peng Zhou
    • 1
  • Zhike Peng
    • 1
  • Shiqian Chen
    • 1
  • Yang Yang
    • 1
  • Wenming Zhang
    • 1
  1. 1.School of Mechanical EngineeringShanghai Jiao Tong UniversityShanghaiChina

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