Computer simulation of polynomial algorithms of radio signals distinction and estimating their parameters
DOI:
https://doi.org/10.15587/1729-4061.2014.28006Keywords:
truncated stochastic polynomials, moment quality criterion, signals distinction, non-Gaussian noiseAbstract
The use of bifunctional rule of processing input sample values was proposed in the paper. The first function is a hypothesis distinction function, which is based on using polynomial decision rules (DR) of signals distinction, the optimal coefficients of which are in accordance with moment quality criterion of upper limits of error probabilities. The second is a signals parameters estimation function, which is based on methods of polynomial maximization and truncated stochastic polynomial maximization.
Using a generator of pseudorandom sequences, based on bigaussian model, computer simulation of common algorithms of signals distinction and evaluating their parameters was performed. Experimentally obtained computer simulation results in general correspond to theoretical.
It was found that the efficiency of polynomial distinction and evaluation algorithms increases with the stochastic polynomial degree and as the values of coefficients of asymmetry and kurtosis approach the tolerance range limit, i.e. the probability of type I and type II errors and dispersion of the obtained estimates decreases. The results can be used to reduce the error probability of radio signals distinction and improve the estimation accuracy of their parameters in radiolocation, radio navigation and other areas, where the accuracy of signal processing algorithms plays an important role.
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Copyright (c) 2014 Владимир Васильевич Палагин, Артем Володимирович Гончаров, Володимир Михайлович Уманець
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