To overcome the impossibility of representing the energy of a signal simultaneously in time
and frequency, many time–frequency representations have been introduced in the literature …

We perform Wigner analysis of linear operators. Namely, the standard time-frequency
representation Short-time Fourier Transform (STFT) is replaced by the A-Wigner distribution …

We introduce a $\tau $-dependent Wigner representation, $\operatorname {Wig} _\tau $,
$\tau\in [0, 1] $, which permits us to define a general theory connecting time-frequency …

The Wigner distribution is a milestone of Time–frequency Analysis. In order to cope with its
drawbacks while preserving the desirable features that made it so popular, several kinds of …

Metaplectic Wigner distributions are joint time-frequency representations that are
parametrized by a symplectic matrix and generalize the short-time Fourier transform and the …

In the last twenty years modulation spaces, introduced by HG Feichtinger in 1983, have
been successfully addressed to the study of signal analysis, PDE's, pseudodifferential …

We present a different symplectic point of view in the definition of weighted modulation
spaces M mp, q (R d) and weighted Wiener amalgam spaces W (FL m 1 p, L m 2 q)(R d). All …

We study the phase-space concentration of the so-called generalized metaplectic operators
whose main examples are Schrödinger equations with bounded perturbations. To reach this …

Time-frequency analysis (or Gabor analysis) is a modern branch of harmonic analysis with
applications, among others, in signal processing, audio engineering, psychoacoustics as …

Hausdorff–Young's inequality establishes the boundedness of the Fourier transform from L p
to L q spaces for 1≤ p≤ 2 and q= p′, where p′ denotes the Lebesgue-conjugate …