The influence of source overlapping on correlation matrix and activity index

In this paper, the influence of overlapping of pulse signal sources on their correlation matrix and activity index is studied. The activity index is defined as a Mahalanobis distance of signal observations. Influences of source overlapping on activity index were simulated for a different number of overlapping sources and degrees of their overlapping. The findings lead to an improved model of activity index, which can support a more reliable estimation of the number of active sources in convolutive mixtures of pulse sources.