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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Bibliographische Detailangaben
Hauptverfasser:	Fateev, Yury, Dmitriev, Dmitry, Tyapkin, Valery, Kremez, Nikolai, Shaidurov, Vladimir
Format:	Tagungsbericht
Sprache:	eng
Schlagworte:	Algorithms Ambiguity resolution (mathematics) Distribution functions Independent variables Mathematical analysis Navigation systems Probability distribution Probability distribution functions Radio signals Random variables Statistical analysis
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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