Yuri L. Fateev, Vladimir V. Shaidurov, Evgeny N. Garin, Dmitry D. Dmitriev, Valeriy N. Tyapkin, “Probability distribution functions of the sum of squares of random variables in the non-zero mathematical expectations”, J. Sib. Fed. Univ. Math. Phys., 2016, Volume 9, Issue 2,Pages <nobr>173

Probability distribution functions of the sum of squares of random variables in the non-zero mathematical expectations

Yuri L. Fateev^a, Vladimir V. Shaidurov^b, Evgeny N. Garin^a, Dmitry D. Dmitriev^a, Valeriy N. Tyapkin^a

^a Military Engineering Institute, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
^b Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Akademgorodok, 50/44, Krasnoyarsk, 660036, Russia

Abstract: The article concluded probability distribution functions sum of the squares of the random variables in the non-zero expectations. The resulting distribution function is possible to create an efficient single-step phase ambiguity resolution algorithm in determining the spatial orientation of the signals of satellite radio navigation systems. Obtained thresholds at rejecting false solutions, as well as statistical data of the algorithm.

Keywords: probability distribution functions, normal distribution, variance, standard deviation square.

UDC: 519.213

Received: 20.11.2015
Received in revised form: 25.01.2016
Accepted: 20.02.2016

Language: English

DOI: 10.17516/1997-1397-2016-9-2-173-179