Models and Methods of RZ-Signal Distinction for Information-Measuring Systems in Asymmetric Non-Gaussian Noise

Abstract

The paper considers a new method of statistical processing of RZ-signals against the background of asymmetric non-gaussian noise. To solve the problem of processing discrete RZ-signals against the background of asymmetric non-gaussian noise, polynomial solving rules (SR) were synthesized. At the degree of a polynomial S = 1, SR represent a system of hypothesis testing rules that do not take into account the non-Gaussian distribution of the studied random processes. When increasing the degree of the polynomial to S = 2, the initial moments of the 3-rd and 4-th orders are used, which makes it possible to take into account the non-Gaussian parameters of the studied random processes, in particular for the formulation of the problem in the form of an asymmetry coefficient. This approach makes it possible to take into account the fine structure of non-Gaussian processes and reduces the probability of SR errors in comparison with the known results. On the basis of a new method of statistical signal processing for data reception, a Simulink-model of the system was developed and its functioning was simulated for SR and S = 1.2 and different values of signal-to-noise ratio. It is shown that when taking into account the coefficient of asymmetry of non- Gaussian interference, the efficiency of signal reception increases for S = 2 when compared with known results, which are optimal for the Gaussian interference model with S = 1. The suggested method of processing the additive mixture of the bipolar discrete RZ-signals on the background of asymmetric non- Gaussian interference, receiving data in telecommunication systems is more efficient as compared with the known methods due to non-linear statistical processing of signals and taking into account the fine structure of the investigated non-Gaussian random processes. The conducted studies demonstrate the decrease of the number of erroneous decisions in t6he process of RZ-signals reception, taking into account the coefficient of asymmetry of non-Gaussian noise, which indicates the increase of the efficiency of the data reception system operation.