Suppose a discrete-time signal S (t), 0 t< N, is a superposition of atoms taken from a
combined time/frequency dictionary made of spike sequences 1ft= g and sinusoids expf2 …

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 …

We present a novel eigenfilter-based approach to the design of time-frequency optimized,
linear-phase, biorthogonal FIR filter banks. We first design a linear-phase, low-pass analysis …

Euclidean distance matrices (EDMs) are central players in many diverse fields including
psychometrics, NMR spectroscopy, machine learning and sensor networks. However, they …

A central problem in signal processing and communications is to design signals that are
compact both in time and frequency. Heisenberg's uncertainty principle states that a given …

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 …

Los rayos son transitorios de alta corriente cuya energía es radiada desde las bajas
frecuencias hasta algunos cientos de MHz. Estas descargas eléctricas son consideradas …

The aim of signal analysis is to achieve a better understanding and description of the
underlying physical phenomenon and to find a compact representation of signals, which …

A Fast linear convolution algorithm based on the Discrete Hirschman Transform (DHT)
provides increased hardware flexibility and reduced computational complexity compared to …

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