Synthesis of Signal Amplitude-Phase Processing Algoriths under Influence of Band-limited non-Gaussian Noise

The synthesis of quasi-optimal algorithms for processing useful signals under the influence of additive non-Gaussian noise with a band-limited spectrum using amplitude-phase processing is carried out. The methods of nonlinear Markov filtration are used for the mentioned synthesis. The processing of the quadrature components of the influencing noise at correlated and independent counts, as well as for the case of mutual independence of the envelope and the phase of the additive noise is considered. The block diagrams processing signals under the influence of band pass noise are obtained. It is shown that the synthesized algorithms and block diagrams generally coincide with similar ones obtained using quadrature processing. In the particular case of amplitude-phase processing, the neighboring counts of additive non-Gaussian noise are independent. Another special case of amplitude-phase processing is the case of mutual independence of the envelope and the phase of the noise affecting the signal. The expressions for the description of four-dimensional joint probability density function of quadrature components of the narrow-band Gaussian stationary process are given, on the basis of which for some limiting cases expressions of two-dimensional probability density function for the envelope and the phase of the latter are obtained.