The probability distribution function for the sum of squares of independent random variables

In the present paper, the probability distribution function is derived for the sum of squares of random variables for nonzero expectations. This distribution function enables one to develop an efficient one-step algorithm for phase ambiguity resolution when determining the spatial orientation from s...

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Bibliographic Details
Main Authors: Fateev, Yury, Dmitriev, Dmitry, Tyapkin, Valery, Kremez, Nikolai, Shaidurov, Vladimir
Format: Conference Proceeding
Language:English
Subjects:
Algorithms
Ambiguity resolution (mathematics)
Distribution functions
Independent variables
Mathematical analysis
Navigation systems
Probability distribution
Probability distribution functions
Radio signals
Random variables
Statistical analysis
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Summary:In the present paper, the probability distribution function is derived for the sum of squares of random variables for nonzero expectations. This distribution function enables one to develop an efficient one-step algorithm for phase ambiguity resolution when determining the spatial orientation from signals of satellite radio-navigation systems. Threshold values for rejecting false solutions and statistical properties of the algorithm are obtained.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4959629