Abstract:
In this paper, a scale factor-based interpolated discrete Fourier transform (IpDFT) algorithm is proposed to estimate the dominant chatter frequency. In practical measure...Show MoreMetadata
Abstract:
In this paper, a scale factor-based interpolated discrete Fourier transform (IpDFT) algorithm is proposed to estimate the dominant chatter frequency. In practical measurement systems of machining processes, the number of acquired sine-wave cycles (NASCs) is small. Therefore, the significant spectral interference from the negative frequency leads to the degradation of conventional IpDFTs that neglect such interference. The proposed IpDFT algorithm overcomes this problem by completely removing the long-range leakage of the negative frequency of the investigated component. We establish statistical properties of the approach contaminated with white noise, including upper and lower bounds of the theoretical variance. The simulation results demonstrate that our IpDFT algorithm outperforms existing IpDFT algorithms, especially when the NASC approaches zero. The proposed IpDFT algorithm has better antinoise capability and computational efficiency than the optimization-based algorithm by Radil. Furthermore, it is illustrated that the simulation results agree well with upper and lower bounds of the theoretical variance. Cutting force signals are collected to evaluate the algorithm experimentally.
Published in: IEEE Transactions on Instrumentation and Measurement ( Volume: 64, Issue: 10, October 2015)
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- IEEE Keywords
- Index Terms
- Frequency Estimation ,
- Discrete Fourier Transform ,
- Interpolated Discrete Fourier Transform ,
- Simulation Results ,
- Lower Bound ,
- White Noise ,
- Positive Frequency ,
- Dominant Frequency ,
- Machining Process ,
- Theoretical Variables ,
- Optimization-based Algorithm ,
- Signal-to-noise ,
- Upper Bound ,
- Covariance Matrix ,
- Transition State ,
- Scaling Factor ,
- Contributions Of This Paper ,
- Imaginary Part ,
- Signal Frequency ,
- Taylor Series ,
- Spindle Speed ,
- Taylor Expansion ,
- First-order Taylor Series ,
- Signal-to-noise Ratio Conditions ,
- Interval Observer ,
- Neighboring Samples ,
- Low Computational Cost ,
- Signal-to-noise Ratio Range ,
- Simulated Signals ,
- Spectral Components
- Author Keywords
- Author Free Keywords
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Frequency Estimation ,
- Discrete Fourier Transform ,
- Interpolated Discrete Fourier Transform ,
- Simulation Results ,
- Lower Bound ,
- White Noise ,
- Positive Frequency ,
- Dominant Frequency ,
- Machining Process ,
- Theoretical Variables ,
- Optimization-based Algorithm ,
- Signal-to-noise ,
- Upper Bound ,
- Covariance Matrix ,
- Transition State ,
- Scaling Factor ,
- Contributions Of This Paper ,
- Imaginary Part ,
- Signal Frequency ,
- Taylor Series ,
- Spindle Speed ,
- Taylor Expansion ,
- First-order Taylor Series ,
- Signal-to-noise Ratio Conditions ,
- Interval Observer ,
- Neighboring Samples ,
- Low Computational Cost ,
- Signal-to-noise Ratio Range ,
- Simulated Signals ,
- Spectral Components
- Author Keywords
- Author Free Keywords