Time-frequency-based detection using discrete-time discrete-frequency Wigner distributions [PDF]
During the last decade, a comprehensive theory for optimum time-frequency (TF)-based detection has been developed. This was originally proposed in the continuous-time continuous-frequency case. This paper deals with detectors operating on discrete-time discrete-frequency Wigner distributions (WDs). The purpose is to discuss some existing definitions of
Cédric Richard
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Discrete Wigner distribution for two qubits: a characterization of entanglement properties [PDF]
We study the properties of the discrete Wigner distribution for two qubits introduced by Wotters. In particular, we analyze the entanglement properties within the Wigner distribution picture by considering the negativity of the Wigner function (WF) and the correlations of the marginal distribution.
Franco R., PENNA, Vittorio
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Instantaneous frequency estimation using the discrete linear chirp transform and the Wigner distribution [PDF]
In this paper, we propose a new method to estimate instantaneous frequency using a combined approach based on the discrete linear chirp transform (DLCT) and the Wigner distribution (WD). The DLCT locally represents a signal as a superposition of linear chirps while the WD provides maximum energy concentration along the instantaneous frequency in the ...
Alkishriwo, Osama A., Chaparro, Luis F.
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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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On computing the discrete Wigner–Ville distribution
The Wigner-Ville distribution is an important tool in nonstationary signal analysis. Many algorithms to compute the discrete Wigner-Ville distribution (DWVD) have been proposed. New efficient methods for computing the discrete Wigner-Ville distribution are presented.
Chan, SC, Ho, KL
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A revised discrete pseudo-Wigner distribution and its application to nonstationary signal analyses.
Recently, several efforts have been directed towards developing a joint time and frequency representation for signal analysis. For a time-varying signal, whether a deterministic transient or nonstationary random signal, the use of a discrete pseudo-Wigner distribution (WD) is especially suitable.
Shunsuke ISHIMITSU, Hajime KITAGAWA
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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 ...
Soo‐Chang Pei
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A New Discrete Analytic Signal for Reducing Aliasing in the Discrete Wigner-Ville Distribution [PDF]
It is not possible to generate an alias-free discrete Wigner-Ville distribution (DWVD) from a discrete analytic signal. This is because the discrete analytic signal must satisfy two mutually exclusive constraints. We present, in this paper, a new discrete analytic signal that improves on the commonly used discrete analytic signal's approximation of ...
O'Toole, J. M., Mesbah, M., Boashash, B.
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Linear redundancy of information carried by the discrete Wigner distribution [PDF]
The discrete Wigner distribution (WD) encodes information in a redundant fashion since it derives N by N representations from N-sample signals. The increased amount of data often prohibits its effective use in applications such as signal detection, parameter estimation, and pattern recognition.
Cédric Richard
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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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