Phase methods for measuring the spatial orientation of objects using satellite navigation equipment

Probability Distribution Functions of the Sum of Squares of Random Variables in the Non-zero Mathematical Expectations

“…With zero expectation m = 0 coincides with the formula obtained (9). The characteristic function of the sum of squares of independent normal random variables with nonzero expectation is equal to the product of the characteristic functions of the terms:…”

“…The resulting probability distribution function is possible to create an efficient single-step algorithm for phase ambiguity resolution in the measurement of the spatial orientation of the signals of satellite radio navigation systems [8][9][10][11][12]. Obtained thresholds at rejecting false solutions, as well as statistical data of the algorithm.…”

Synthesis of Integrated One-stage Tracking Algorithm for GNSS and INS Based Attitude Estimation

“…That is, there is an ambiguity of phase measurement. To resolve this problem various algorithms of phase measurement were proposed [5][6][7][8][9][10][11][12][13][14][15][16][17][18]. The described methodology for determining the orientation angles using signals of satellite navigation systems is based on the principle of two-stage processing of signals from navigation satellites [12].…”