Estimation of the phase probability density function based on the solve of the inverse problem

The article considers the problem of calculating the phase probability density function of a phase-shift keying signal received under conditions of distortion and additive noise. This problem is reduced to an inverse problem, namely, to solving an integral equation of the convolution type. The functions included in the integral equation are analyzed. The case of equiprobable symbols, which is important from a practical point of view, is considered separately. Numerical simulation results are presented.