The Wigner-Ville distribution
represents a time-frequency view of the original data that's useful for time-varying signals.
Let us introduce the 2D quaternion Wigner-Ville distribution
(QWVD) and quaternion ambiguity function QAF .
has a fine time-frequency resolution and can reach the low boundary of Heisenberg uncertainty principle.
Jahed, "An inventive quadratic time-frequency scheme based on Wigner-Ville distribution
for classification of sEMG signals," in Proceedings of the 6th International Special Topic Conference on Information Technology Applications in Biomedicine, pp.
On the condition that the receiver is a single sensor, PWVD has always been utilized to reduce the cross-terms of Wigner-Ville distribution
Munson, Jr., "Wide-angle ISAR passive imaging using smoothed pseudo Wigner-Ville distribution
," Proceedings of the 2001 IEEE radar Conference, 363-368, 2001.
Boashash, "Design of higher order polynomial Wigner-Ville distributions
," IEEE Trans.
A valuable property of the Wigner-Ville distribution
is that it satisfies the marginal conditions.
A variant of the WD, called the Wigner-Ville Distribution
(WVD), incorporates smoothing to decrease the effect of cross-terms, using independent windows in time and frequency.
Therefore, we introduce Smoothed Pseudo Wigner-Ville distribution
(SPWVD), which can remove the cross-term in frequency direction and time direction of the time-frequency panel, to get instantaneous frequencies of isolated components.
have defined the Wigner-Ville distribution
based on linear canonical transform (WDL) separately.
Non-parametric techniques based on the Wigner-Ville distribution
were used in [5, 10, 11].