Some signals captured in practical applications are usually composed of a series of modes
that have multivalued time-dependent instantaneous frequency (IF), ie, transient signal …

Power equipment is one kind of basic element in smart grid, and how to design an efficient
detection and analysis scheme of electric signature (ES) for power equipment failure (PEF) …

Neuroimagery must be visually checked for unacceptable levels of distortion prior to
processing. However, inspection is time-consuming, unreliable for detecting subtle …

This book is a result of more than twenty years of research and education in the area of time-
frequency signal analysis and signal theory, in general. The book presents time-frequency …

We introduce the notion of finite right (or left) numerical index on a C∗-bimodule AXB with a
bi-Hilbertian structure, based on a Pimsner–Popa-type inequality. The right index of X can …

We determine all signals giving equality for the discrete Hirschman uncertainty principle. We
single out the case where the entropies of the time signal and its Fourier transform are …

The traditional Heisenberg–Weyl measure quantifies the joint localization, uncertainty, or
concentration of a signal in the phase plane based on a product of energies expressed as …

A physicist's intuition in Fourier theory is generally established from the parallels between
Fourier series and transforms. Remarkably, one element of this theory that is especially …

Bispectral analysis, recently introduced as a technique for revealing time-phase
relationships, is extended to make use of wavelets rather than Fourier analysis. It is thus …

Smart materials are being employed in dynamic systems to tune the stiffness and damping
of the structure by using external stimuli. Magnetorheological elastomers (MREs) are …