Results 111 to 120 of about 730 (153)

The development of a discrete transform for the Wigner distribution and ambiguity function

open access: closedThe Journal of the Acoustical Society of America, 1988
A theoretical basis for the development of the discrete Wigner distribution and ambiguity function is presented that is based on the temporal and spectral properties of the two-dimensional Wigner kernel function. This two-dimensional description is helpful in visualizing the various functions and shows that the increase in the number of points required
Mark A. Poletti
openalex   +2 more sources

Efficient computation of the discrete Wigner distribution function through a new iterative algorithm

open access: closed1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2002
This paper presents a new iterative method to speed up the DWDF computation. At present it has been considered from a computational point of view as a 1-D section of the Wigner kernel (WK)N point FTs. We purpose a new way to compute the DWDF based on the symmetry properties of the WK and the cosine function.
I. del Puerto   +4 more
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About SIC POVMs and discrete Wigner distributions

Journal of Optics B: Quantum and Semiclassical Optics, 2005
A set of d2 vectors in a Hilbert space of dimension d is called equiangular if each pair of vectors encloses the same angle. The projection operators onto these vectors define a POVM which is distinguished by its high degree of symmetry. Measures of this kind are called symmetric informationally complete, or SIC POVMs for short, and could be applied ...
Colin, Samuel   +3 more
openaire   +4 more sources

On the existence of discrete Wigner distributions

IEEE Signal Processing Letters, 1999
Among the myriad of time-frequency distributions, the Wigner distribution stands alone in satisfying many desirable mathematical properties. Attempts to extend definitions of the Wigner distribution to discrete signals have not been completely successful.
J.C. O'Neill, P. Flandrin, W.J. Williams
openaire   +1 more source

Discrete time and frequency Wigner-Ville distribution: Moyal's formula and aliasing

IEEE Signal Processing Letters, 2005
In this letter, we propose a new definition of the discrete time and frequency Wigner-Ville distribution. The proposed distribution not only displays a readable representation (small aliasing) but also exhibits unitarity and is easy to compute. We compare the time-frequency representation associated with this proposed definition with other existing ...
Chassande-Mottin, Eric, Pai, Archana
openaire   +2 more sources

Wigner distribution in linear canonical domains: properties and discretization

2019 IEEE International Conference on Signal, Information and Data Processing (ICSIDP), 2019
In our previous work, we introduced a kind of closed-form linear canonical transform (LCT) based Wigner distribution (WD), namely, the closed-form instantaneous cross-correlation function type of WD (CICFWD), and discussed its applications in non-stationary signal separation and detection. However, some related theoretical foundations are still unknown.
openaire   +1 more source

A contribution to the unaliased discrete-time Wigner distribution

The Journal of the Acoustical Society of America, 1993
This paper presents a new closed form analytical definition of the unaliased discrete-time Wigner distribution (DTWD), which arises naturally from its continuous-time counterpart, and is straightforwardly implementable for digital signal processing. This DTWD possesses properties that resemble those of the continuous time case.
openaire   +1 more source

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