Statistical signal analysis in Lp space
D. Falie, Mihaela Ichim · 2010 3rd International Congress on Image and Signal Processing · 2010
Extending the signal analysis to the Lpspace offers new properties of the statistical operators. Low order statistics (LOS) based on centered moments of order p, when p ϵ N+and p2, used in high order statistics (HOS). Independent components analysis (ICA) problems are solved using an algorithm based only on LOS. Using a particular independence condition, an ultra fast ICA algorithm has been obtained. A generalized correlation coefficient defined on the Lp space, for p<;2, is less affected by outliers than that defined by Pearson, and in the case of normal distributed random variables, it gives the same numerical values for any p. These new operators have been used for detection of the sleep stages using a 3D camera.