2015
DOI: 10.1016/j.ifacol.2015.09.580
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Multiple oscillations detection in control loops by using the DFT and Raleigh distribution ★ ★This work was supported by the Natural Sciences and Engineering Research Council (NSERC) of Canada; the National Natural Science Foundation of China [61174161, 61304141, 61375077]; the specialized Research Fund for the Doctoral Program of Higher Education of China [20130121130004]; and the Fundamental Research Funds for the Central Universities in China [201212G005].

Abstract: This work introduces an oscillation detection method by analyzing the magnitude of signal after the discrete Fourier transform (DFT). Properties of Raleigh distribution are used to calculate a threshold in order to detect multiple oscillations simultaneously. The proposed algorithm is able to detect oscillations in presence of colored noise based on a statistical test.Two simulation examples are provided to verify the effectiveness of the method.

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Cited by 12 publications
(2 citation statements)
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“…In the frequency domain, Babuska et al 26 put forth a frequency-based method, leveraging power spectral density amplitude ratios to detect oscillations. Similarly, Zhang et al 27 employed the amplitude within the discrete Fourier transform to detect oscillations.…”
Section: ■ Introductionmentioning
confidence: 99%
“…In the frequency domain, Babuska et al 26 put forth a frequency-based method, leveraging power spectral density amplitude ratios to detect oscillations. Similarly, Zhang et al 27 employed the amplitude within the discrete Fourier transform to detect oscillations.…”
Section: ■ Introductionmentioning
confidence: 99%
“…Therefore, we are interested in determining different types of Martian ionospheric irregularities by developing an automatic detection algorithm that could separate depletions, enhancements, and oscillations. From the perspective of signal processing, this goal falls into the disciplines of peak detection and oscillation detection that have been developed for a long time involving tremendous basic algorithms, such as the Hilbert (e.g., Benitez et al., 2001), Fourier (Zhang et al., 2015), or Wavelet (e.g., Wee et al., 2008) transform‐based spectra analysis, morphology filtering (e.g., Serra, 1994), Kalman filtering (Tzallas et al., 2006), Gaussian second derivative filtering (e.g., Fredriksson et al., 2009), etc. Although those methods have been applied in various industrial and academic domains, the problem is that the more generally applicable the algorithm, the more parameters (i.e., window size, amplitude, distance) are needed.…”
Section: Introductionmentioning
confidence: 99%