Advanced fault diagnosis by means of complex order derivatives

作者：Laurila J^*; Lahdelma S

来源：Insight: Non-Destructive Testing and Condition Monitoring , 2014, 56(8): 439-442.

DOI：10.1784/insi.2014.56.8.439

• condition monitoring
• vibration analysis
• weighted l(p) norms
• fractional derivatives
• real and complex order derivatives

There is a wide range of signal processing methods in the field of machine condition monitoring, which are used in feature extraction and fault diagnosis. Derivation and integration are very common and important operations in vibration signal processing. Often, a signal that has been measured using an accelerometer is integrated to obtain a velocity or displacement signal. These commonly-used three signals and an infinite number of other signals can be obtained by means of fractional order derivation. Especially in challenging fault and process cases, signals whose order of derivation is a real or complex number could be clearly more sensitive to fault detection than the commonly-used signals. This paper discusses the application of complex order derivation to acceleration signals in order to detect various faults at an early stage.

• 出版日期2014-8