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 …

An entropy-based uncertainty principle for a locally compact abelian group Page 1 Journal of
Functional Analysis 215 (2004) 241–252 An entropy-based uncertainty principle for a locally …

Ventricular late potentials (VLPs) are low-amplitude, wideband-frequency waveforms that
appear in the high-resolution electrocardiogram of patients with some cardiac diseases. VLP …

We have previously developed an uncertainty measure that is suitable for finitely-supported
(N samples) discrete-time signals. A specific instance of our measure has been termed the" …

With the best basis function that compactly describes a discrete-time signal, the Discrete
Hirschman Transform (DHT) has been proved to perform better than the Discrete Fourier …

Abstract The Heisenberg Uncertainty principle is a fundamental concept from Quantum
Mechanics that also describes the Fourier Transform. Unfortunately, it does not directly apply …

The term compactness refers to the notion of joint localization used to describe a signal that
is simultaneously efficient in the time and frequency domains. Traditional methods based on …

The use of Hirschman transforms for video coding has not been considered previously,
primarily due to the lack of any previous construction of a real-valued Hirschman transform …

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 …