06-27U

Generalized coordinate-frequency distribution is proposed and it is shown that Wigner distribution function and ambiguity function are only particular cases of generalized distribution. Main properties of generalized distribution such as normalization condition, cross-correlation representation and inverse transform are investigated. Generalized gaussian distribution is analytically obtained. The scheme of signal intensity distribution reconstruction by generalized distribution is proposed. Fractional representation of generalized distribution was carried out. The results of numerical calculations of gaussian signal distribution in the fractional Fourier transform domain are presented.