Fast computation of the spectral correlation

被引:302
作者
Antoni, Jerome [1 ]
Xin, Ge [1 ]
Hamzaoui, Nacer [1 ]
机构
[1] Univ Lyon, INSA Lyon, LVA EA677, Lab Vibrat Acoust, F-69621 Villeurbanne, France
关键词
Cyclostationarity; Cyclostationary signals; Cyclic spectral analysis; Spectral correlation; Cyclic modulation spectrum; Fast spectral correlation; Condition monitoring; Bearing diagnosis; Nonstationary regime; ELEMENT BEARING DIAGNOSTICS; VIBRATION SIGNALS; OPERATING-CONDITIONS; ENVELOPE ANALYSIS; FAULTS; CYCLOSTATIONARITY; SIGNATURE;
D O I
10.1016/j.ymssp.2017.01.011
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
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 the situation by proposing a new fast estimator of the spectral correlation, the Fast Spectral Correlation, based on the short-time Fourier transform (STFT). It proceeds from the property that, for a cyclostationary signal, the SIFT evidences periodic flows of energy in and across its frequency bins. The Fourier transform of the interactions of the SIFT coefficients then returns a quantity which scans the Spectral Correlation along its cyclic frequency axis. The gain in computational cost as compared to the conventional estimator is like the ratio of the signal length to the STFT window length and can therefore be considerable. The validity of the proposed estimator is demonstrated on non trivial vibration signals (very weak bearing signatures and speed varying cases) and its computational advantage is used to compute a new quantity, the Enhanced Envelope Spectrum.(C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码:248 / 277
页数:30
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