Estimation of instantaneous frequency using the discrete Wigner distribution
Analytical expressions for the performance of the discrete Wigner distribution (DWD) in estimating the instantaneous frequency of linear frequency modulated signals in additive white noise are derived and verified using simulation. It is shown that the DWD peak provides an optimal estimate at high input signal-to-noise ratios.
P. Rao, F.J. Taylor
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Optimised implementation of real-time discrete Wigner distribution
In the letter an optimised algorithm for real-time implementation of the discrete Wigner distribution (DWD) is presented. The algorithm makes use of the symmetry properties in the Wigner kernel and computes the analytic signal recursively in the time domain. Its computation complexity is found to be very small compared with the direct implementation of
H.H. Eilouti, L.M. Khadra
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Phase space quantum mechanics via frame quantization on finite groups
In this work, the version of Wigner transforms and Wigner functions on discrete systems are formulated. Using frame quantization, the star-product of phase space functions are also computed for a particular finite group.
Delloro, Francis D, Nable, Job A
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On the linear relations connecting the components of the discrete Wigner distribution in the case of real-valued signals [PDF]
It was shown that information conveyed by the discrete Wigner distribution is highly redundant, linear relations connecting its time-frequency components. This means that every component of the discrete Wigner distribution can be expressed as a linear combination of the elements of a basis.
Richard, Cédric, Lengellé, Régis
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New formulation of discrete Wigner-Ville distribution
A new formulation of the discrete Wigner-Ville distribution is presented which can be implemented directly using standard fast Fourier transform techniques. For a non-negative frequency resolution of N points, only an N point FFT is needed.
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Comment: Optimised implementation of real-time discrete Wigner distribution [PDF]
電機工程學系 ; 電機資訊學院 ...
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Metaplectic Gabor Frames of Wigner-Decomposable Distributions
Metaplectic Wigner distributions generalize the most popular time-frequency representations, such as the short-time Fourier transform (STFT) and -Wigner distributions, using metaplectic operators. However, for a metaplectic Wigner distribution to measure
Cordero, Elena, Giacchi, Gianluca
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Relativistic Wigner Function for Quantum Walks
International audienceA relativistic Wigner function for free Discrete Time Quantum Walks (DTQWs) on the square $2D$ space-time lattice is defined. Useful concepts such as discrete derivatives and discrete distributions are also introduced. The transport
Debbasch, Fabrice
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Application of the Wigner distribution to monitoring cutting tool condition [PDF]
This thesis is about the application of the Wigner distribution to cutting tool monitoring and control. After reviewing traditional methods, a new method is proposed.
Zheng, Kougen
core
A Discrete Time and Frequency Wigner Distribution: Properities and Implementation
Time-frequency distributions are used in the analysis and processing of nonstationary signals. The Wigner-Ville distribution (WVD) is a fundamental time-frequency distribution uniquely satisfying many desirable mathematical properties. The realisation of
Boashash, Boualem +2 more
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