Investigation of statistical characteristics of random signals in nonlinear medium

The distribution function of narrowband noise in a nonlinear distributed transmission line with weak dispersion was investigated experimentally. An expression for the distribution function is derived that allows for quadratic and cubic nonlinearity and frequency-independent losses. The non-linear, weakly dispersing medium was modeled by a low-pass filter with varicaps serving as nonlinear capacitances. Cubic nonlinearity of the medium results in asymmetry of the distribution function for positive and negative noise voltage values.