Spectral principal component analysis (PCA) with applications

Nina Thornhill (University College London)

Principal component analysis (PCA) is a technique for analysis of multivariate data sets and is closely related to singular value decomposition of a data matrix.The seminar will discuss principal component analysis of integral transforms (spectra and autocovariance functions) of time-domain signals.

Two applications will be presented:

(a) In acoustic emissions from mechanical equipment: It was found that acoustic signals from different stages of operation appeared as distinct clusters in the PCA analysis. The clusters moved when machinery faults were present and the modelling errors also increased under fault conditions, thus each type of fault had a distinctive signature and could be diagnosed.

(b) In the detection of plant-wide disturbances in a chemical plant. The diagnosis of the root cause of the plant-wide oscillation will also be briefly mentioned.

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