This article considers the problem of phase synchrony and coherence analysis using a modified version of the Stransform, referred to here as the Modified S-transform (MST). This is a novel and important time-frequency approach to study the phase coupling between two or more different spatially recorded entities with nonstationary characteristics. The basic method includes a cross-spectral analy...

This note extends Voiculescu’s S-transform based analytical machinery for free multiplicative convolution to the case where the mean of the probability measures vanishes. We show that with the right interpretation of the S-transform in the case of vanishing mean, the usual formula makes perfectly good sense.

Images are characterized by features. Machines identify and recognize a scene or an image by its features. Edges, objects, and textures are some of the features that distinguish one image from another. There could be many common features in similar images. But, in those commonalities there lies a distinction in terms of features known as subtle features. Numerous algorithms have been reported t...

Parseval's formula and inversion formula for the S-transform are given. A relation between the S-transform and pseudodifferential operators is obtained. The S-transform is studied on the spaces S(ℝn) and S'(ℝn).