In the spatial domain,canonical projection of the Wigner distribution function of the associated pupil function to show the insensitivity of the(system s) point spread function to the defocus-related aberrations is mainly used,and in the frequency domain,it is shown that the optical transfer function of such a system is also insens.

Based on the second order moment method and Wigner distribution function,and in accordance with their spatial symmetry,laser beams can be classified as three types,i.

The change of pulse in time and frequency is described with Wigner distribution function (WDF) when a Gaussian pulse that the pulsewidth greater than 100fs transits the linear chirped pulse amplification(CPA) systems,and the numerical value simulation is done.

Starting from the space-time Wigner distribution function and taking the Gaussian Schell-model(GSM) pulsed beam as a typical example,the closed-form expressions for the M~2 factor have been derived.

Voltage-current characteristics in a three-quantum-well superlattice unit are studied by numerically solving the nonequilibrium Wigner function equation.

The time-dependent Wigner function can be obtained from these technologies by reducing-density operator and the expansion in Fock states.

Its non-classical properties are discussed,the Wigner function are derived.

Of the digital signal processing techniques,the application of wavelet analysis,artificial neural network and Wigner distribution to the biomedical engineering were mainly discussed in the article,and the application prospect of the digital signal processing technique to the biomedical engineering was expected.