2518-1092Research result. Information technologies2518-109210.18413/2518-1092-2016-1-3-10-15778COMPUTER SIMULATIONMODELING N-DIMENSIONAL PROBABILITY DENSITY OF THE COSINE OF PHASE DIFFERENCEMODELING N-DIMENSIONAL PROBABILITY DENSITY OF THE COSINE OF PHASE DIFFERENCESidorenkoIgor AleksandrovichSidorenkoIgor Aleksandrovichsidorenko@bsu.edu.ruBudnikovaMaria AlexandrovnaBudnikovaMaria Alexandrovna775939@bsu.edu.ru20161300

The article proposes a model that allows to explore a multivariate probability density for random variables representing the cosine of phase difference with uniform distribution. The study demonstrates the results of modeling as a histogram of the experimental data. The developed model allowed getting approximate formulas for the n-dimensional probability density of the cosine of the phase difference for n≤5. The results of this study may be relevant when assessing the effectiveness of signal reception with random parameters.

The article proposes a model that allows to explore a multivariate probability density for random variables representing the cosine of phase difference with uniform distribution. The study demonstrates the results of modeling as a histogram of the experimental data. The developed model allowed getting approximate formulas for the n-dimensional probability density of the cosine of the phase difference for n≤5. The results of this study may be relevant when assessing the effectiveness of signal reception with random parameters.

computer modelingmultivariate probability densityincoherent receptioninterpolationcomputer modelingmultivariate probability densityincoherent receptioninterpolationСписок литературы1. Ventcel' E.S. Probability Theory: High School Textbook, 6th edition. Moscow: Vysshaya Shkola, 1999. P.576.2. Gutkin L.S. The Theory of Optimal Methods of Radio Reception in Fluctuating Noise. Moscow: Gosehnergoizdat, 1961. P.491.3. Cooper G., McGillem C. Probabilistic Methods of Signal and System Analysis. Moscow: Mir, 1989. P.376.4. Levin B.R. Theoretical Foundations of Statistical Radio Engineering. Book One. 2nd edition. Moscow: Sovetskoe Radio, 1974. P.552.5. Polovko A.M., Butusov P.N. MATLAB for Students. St. Petersburg: BHV-Petersburg, 2005. P.320.6. Potemkin V. G. Calculations in MATLAB. Moscow: Dialog-MIFI, 2004. P.720.7. Tikhonov V.I. Statistical Radios. 2nd edition. Moscow: Radio i Svyaz', 1982. P.624.8. Interpolation of Functions by Interpolating Polynomials // MATLAB.Exponenta / Information on products MATLAB & Toolboxes. URL: http://matlab.exponenta.ru/spline/book1/10.php. (date of access: April 27, 2016).