Wigner-ville transform

1. What is Wigner Ville transform?
2. Is Wigner function real?
3. How is the Wigner function defined?

What is Wigner Ville transform?

Inonu University. The notion behind the Wigner- Ville is that the signal is considerd to be the filter for the itself. Wigne -Ville Transform is the one dimensional (in time axis) Forier transform of the 2D auto-convulution function of signal.

Is Wigner function real?

Another feature of the Wigner function is that it is always real.

How is the Wigner function defined?

The Wigner function is (up to a constant factor) the Weyl transform of the quantum-mechanical density operator. For a particle in one dimension it takes the form. (6.40) Here denotes the von Neumann density function, i.e., (6.41)