A classical symptom of rotating machines faults in vibration signals is the presence of
repetitive transients, whose distinctive signature is both impulsive and cyclostationary …

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 …

The Discrete Hirschman Transform (DHT) is more computationally attractive than the
Discrete Fourier Transform (DFT). Based on its derived linear convolution, we have …

Compressive Sensing (CS) increases the computational complexity of decoding while
simplifying the sampling process. In this paper, we apply our previously discussed …

The Hirschman Optimal Transform (HOT) has been shown to be superior to Discrete Fourier
Transform (DFT) in computational complexity and resolution. The HOT can be implemented …

The quantification of signal localization simultaneously in time and in frequency is
fundamental to a variety of signal processing applications where time-frequency analysis is …

In this paper we study the joint time-frequency localization of cascade connections of
maximally decimated wavelet filter banks. An M-channel bank is created by cascading a …

Envelope spectrum analysis is probably one of the most efficient techniques of vibration-
based condition monitoring for detecting incipient faults in rotating machines. Although it …

All of the existing TV-point discrete fractional signal transforms require O (N 2) computation
complexity. In this paper, we propose a new discrete fractional signal transform whose …