2017
DOI: 10.1016/j.ymssp.2017.01.011
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Fast computation of the spectral correlation

Abstract: Although the Spectral Correlation is one of the most versatile spectral tools to analyze cyclostationary signals (i.e. signals comprising hidden periodicities or repetitive patterns), its use in condition monitoring has so far been hindered by its high computational cost. The Cyclic Modulation Spectrum (the Fourier transform of the spectrogram) stands as a much faster alternative, yet it suffers from the uncertainty principle and is thus limited to detect relatively slow periodic modulations. This paper fixes … Show more

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Cited by 293 publications
(214 citation statements)
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“…Spectral coherence provides a new interpretation of periodic flows of energy across the analysis frequency band and the cyclic frequency band [27]. With the help of its excellent ability in revealing the presence of modulation and describing the cyclostationarity, the fast spectral coherence is applied to accurately estimate the search center, and the relevance theory of fast spectral coherence can refer to literature [28]. The cyclic frequency location corresponding to the maximum energy distribution in the fast spectral coherence is regarded as the search center a M .…”
Section: Optimal Parameter Selection Stragegy Guided By Fwee Indicatormentioning
confidence: 99%
“…Spectral coherence provides a new interpretation of periodic flows of energy across the analysis frequency band and the cyclic frequency band [27]. With the help of its excellent ability in revealing the presence of modulation and describing the cyclostationarity, the fast spectral coherence is applied to accurately estimate the search center, and the relevance theory of fast spectral coherence can refer to literature [28]. The cyclic frequency location corresponding to the maximum energy distribution in the fast spectral coherence is regarded as the search center a M .…”
Section: Optimal Parameter Selection Stragegy Guided By Fwee Indicatormentioning
confidence: 99%
“…Let x[n], n=0, 1,…,N be the data vector and P is the number of neighboring samples. The 1D LBP of x[n] is formulated as: (5) An example of this concept is presented in Fig. 3 for 1D LBP calculated over a time series for P=8.…”
Section: B 1d Local Binary Patternmentioning
confidence: 99%
“…The data in this work was obtained from sites that contain operating rotating machines. It was reported in [5] that mechanical or electrical faults in rotating machines generate a cyclic signature that could be present in the captured data signals. This signature determines periodic statistical characteristics within the cyclostationary signal.…”
Section: Introductionmentioning
confidence: 99%
“…However, traditional SC techniques have low computational efficiency. Accordingly, Antoni proposed the fast spectral correlation (Fast-SC) method [28], which is a novel spectral correlation estimation method. The Fast-SC method not only has the advantages of spectral correlation, but also overcomes the shortcomings of high computational cost.…”
Section: Introductionmentioning
confidence: 99%
“…In order to reduce the computational cost and improve the efficiency of spectral correlation, a fast spectral correlation method based on short time Fourier transform was proposed in Reference [28].…”
Section: Brief Introduction Of Fast Spectral Correlationmentioning
confidence: 99%