Results 91 to 100 of about 730 (153)
Features of a discrete Wigner distribution
We discuss important attributes of a discrete Wigner distribution derived using a group-theoretic approach. The nature of this approach enables this distribution to satisfy numerous mathematical properties, including marginals and the Weyl (1964) correspondence.
Michael Richman, T.W. Parks, R.G. Shenoy
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Elimination of cross-components of the discrete pseudo Wigner distribution via image processing
A description is given of a novel algorithm, the fast Fourier transform in part (FFTP), for the computation of the discrete pseudo-Wigner distribution (DPWD). The FFTP computes the cosine and sine parts of the discrete Fourier transform (DFT) separately by employing real inverse sinusoidal twiddle factors. Unlike the conventional methods which directly
Mingui Sun +3 more
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Discrete domain Wigner distributions-a comparison and an implementation
The ideas behind different definitions of the discrete domain Wigner distribution (DDWD) are compared. It is shown that all the definitions are smoothed (filtered) versions of an elemental definition. An implementation of the DDWD as an add-on utility used in a digital spectrum analyzer is presented. >
Andrzej Pacut, W.J. Kolodziej, Amir Said
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ABOUT THE MEAN KING'S PROBLEM AND DISCRETE WIGNER DISTRIBUTIONS
When the state of a quantum system belongs to a N-dimensional Hilbert space, with N the power of a prime number, it is possible to associate to the system a finite field (Galois field) with N elements. In this paper, we introduce generalized Bell states that can be intrinsically expressed in terms of the field operations.
Thomas Durt
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Digital signal implementation of the discrete Wigner distribution function
A computationally efficient representation of the discrete Wigner distribution function is suggested. It allows the investigation of the spectral properties of a real analytic signal to be performed and the possibility of its recovery from the distribution. A 2-D discrete representation is also introduced with special applications to image processing.
R.N.G. Naguib +2 more
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Alias-free Smoothed Wigner Distribution Function For Discrete-time Samples
Abstract : An alias-free Wigner distribution function (WDF), for a time waveform s(t) limited to total frequency extent F, is available if the time sampling increment delta is less than 1/F. Furthermore, the WDF can be efficiently numerically evaluated via fast Fourier transform (FFT) procedures if the FFT size N is greater than 2T/delta, where T is ...
Albert H. Nuttall
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Efficient computation of the discrete Wigner-Ville distribution
To ensure that the discrete Wigner-Ville distribution (DWVD) does not contain aliasing terms, the analytic signal is normally used instead of the real signal. However, the computation of the analytic signal amounts to most of the computation time.
S. C. Chan, Ka-Leung Ho
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Fixed-point error analysis of discrete Wigner-Ville distribution
The Wigner-Ville distribution (WVD) has been a powerful signal processing tool for time-frequency signal analysis. Consequently, many algorithms have been proposed in the literature for computing the WVD in real-time applications. However, Boashash (1987) has proposed and showed that the evaluation of the analytic signal using the time-domain approach,
K.M.M. Prabhu, Ravi Sundaram
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Synthesis of discrete-time discrete-frequency Wigner distribution
A recursive algorithm is proposed for synthesizing a discrete-time periodic signal from a specified discrete-time discrete-frequency Wigner distribution by minimizing the error in the cyclic outer product. Equating the gradient of the error with respect to signal samples to zero results in a set of nonlinear simultaneous equations, which are solved ...
Sudarshan R. Nelatury +1 more
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The aliasing problem in discrete-time Wigner distributions
The Wigner distribution (WD) is a bilinear mapping that, with some restrictions, can be interpreted as the energy distribution of a signal over time and frequency. This makes the WD useful in signal analysis, but its actual use requires a discrete-time version. It is shown that the bilinear nature of such a discrete time WD causes aliasing problems. It
T. Claasen, W. Mecklenbräuker
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