Spatial-temporal modes observed in the aps storage ring using Mia

Singular-value decomposition of the data matrix containing beam position histories yields a spatial-temporal mode analysis of beam motion by effectively accomplishing the statistical principal component analysis. Similar to the Fourier analysis, this mode analysis decomposes the spatial-temporal variation of the beam centroid into a superposition of orthogonal modes that are informative. We briefly review this mode analysis technique and show some interesting modes observed at the APS storage ring