Correlation-extreme method based on spline functions as an alternative to satellite navigation

Yuyukin, Igor V.

doi:10.1063/5.0102916

Cited by 3 publications

(1 citation statement)

References 18 publications

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“…Любые дополнительные измерения позволяют повысить общую точность решения. Как оптимальный вариант, например, могут быть дополнительно использованы возможности корреляционно-экстремальной навигации [17]. Чтобы достичь высокоточного уровня точности в морской среде, пользовательский приемник корректирует свои измерения с помощью опубликованных значений дополнительных вторичных факторов (Additional Secondary Factors -ASF) в качестве дифференциальных поправок e-Loran.…”

Section: результаты (Results)unclassified

Map-aiding of the additional secondary factors isosurface by the spline approximation method as a condition of improving the e-Loran observations accuracy

Yuyukin

2024

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The benefit of the Loran ground-based radio navigation system as an alternative to global navigation satellite systems is argued. The motivation of searching for a duplicate variant is caused by the necessity to ensure the reliability of positioning as a subject of countering spoofing and jamming risks when implementing the concept of cybernetic awareness on water transport. Hypothetically, the possibility of using e-Loran on the Northern Sea Route as a backup navigation system is considered. The experience of operating pilot projects of the enhanced Loran in the issue of the predicted potential of positioning accuracy is analyzed. The optimal method of compensation for the system error of geolocation based on the use of additional secondary factors is investigated. Taking into account the principle of the d-Loran functional, based on comparing the measured values of the radio signal passage delay with published analogues for transmitting clarifications to marine consumers, the necessity of using integrity as a criterion for a confidence assessment of the navigation information processing reliability has been determined. A critical analysis of the attempts effectiveness to use the linear interpolation method to calculate intermediate representative values of the delay in the radio signal transmission in order to simulate the map of additional secondary factors is performed. The hypothesis of the prospects for the isosurface corrections synthesis based on B-spline approximation is put forward. The South Korean experiment of synthesizing a chart of additional secondary factors with measured indicators of the radio signal propagation time delay in nanoseconds from the Pohang transmitting station has been repeated at the correct algorithmic level. In order to demonstrate the practical feasibility of the spline algorithm, a computer visualization of a cartographic fragment of additional secondary factors of Yongil Bay is performed. It is suggested that three-dimensional representation of the additional secondary factor for situational perception by the Officer on watch of map-aided correction as a process in alternative positioning in order to increase the reliability of location control through visual evaluation of proper use of corrections of the e-Loran differential variant. The prospect of using the developed package of applied Pascal-programs with implementations on display-type monitors as intellectual support for decision-making by the navigator in a posteriori assessment of the observation accuracy due to the visual representation of the correction field is noted.

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Section: результаты (Results)unclassified

Map-aiding of the additional secondary factors isosurface by the spline approximation method as a condition of improving the e-Loran observations accuracy

Yuyukin

2024

jour

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The problem of implementing the concept of maximum integration of heterogeneous data in practical navigation

Yuyukin

2024

jour

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The topic of the work is the research of the problem of the practical realization of opportunistic navigation, which actually consists in the fact that the “signals of opportunity” are not optimized for global navigation according to their original purpose. A hypothesis about the possibility of strategic application of the navigation concept based on the principles of data integration with the objective existence of tactically surmountable difficulties is put forward. In the conditions of vulnerability of the global satellite system, an approach to use an additional source of combined signals in order to continuously ensure accurate geolocation of water transport vehicles is proposed. The comparative assessment confirms the comparability of the positioning error of alternative navigation with the data of classical satellite observations of mobile objects. An assumption about the effectiveness of spline modeling of the cartographic standard of informativeness for the practical organization of the basic principle of opportunistic positioning by analogy with the paradigm of correlation-extreme navigation is made. A computer visualization of a fixed fragment of the ocean gravitational field based on spline approximation is performed in order to optimize the problem of simultaneous localization and three-dimensional representation of the ship movement in a graphical environment unaffiliated with foreign software. A hybrid algorithm for mathematical synthesis of the navigational isosurface has been tested as a harmonized support for the navigation staff to implement the “terrain-referenced procedure” in the landscape coordinate space. The variants of the “ambiguity resolution” problem implementation in the issue of maximum integration of heterogeneous navigation data are considered. The probability of practical use of the opportunistic navigation postulates in marine applications, taking into account the “navigation gap” factor for leveling local satellite incapacity with a real possibility of countering malicious interception of ship control, is estimated. The expediency of using the factor of observational reckoning of the vessel path as an additional condition for navigation safety in the aspect of packet processing of the “signals of opportunity” slot is substantiated.

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Realization of the smoothness of spline trajectory configuration for avoidance of nogo areas in due time

Yuyukin

2024

jour

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The configuration of the spline trajectory with the integration of the sleekness criterion into the optimization of the path when moving a marine mobile object in a given direction, taking into account restrictive navigational obstacles, is considered. The smoothness of the trajectory is investigated as the use of the possibility of avoidance of nogo area due to the organization of variable flexibility of the spline structure as the realization of the possibility of rapid dynamic redevelopment in case of unavailability of the initially chosen path. The understanding of intelligent path planning as effective routing is argued with the strategic compliance of the condition for the fastest possible achievement of the goal of the shortest movement in a conflict navigation environment. The phenomenon of cubic B-spline approximation is substantiated as a rational means of synthesizing a path line, since the planned trajectory can be generated in a segmented manner for different variations of the curvature of an algebraic curve based on a balanced combination of isogeometric constraints with optimal arrangement of nodes. The variable generation of the spline shape is performed by coordinating grid points with finite functions while interactive implementing the smoothing effect. It is concluded that heuristic variation of smoothing parameters makes it possible to obtain B-splines of various geometric evolution with the possibility of transforming the multi-link structure of the ship motion line without the need to form a fundamentally new route. The hypothesis of spline structures stability due to the piecewise architecture of the spline, when local violations of mathematical composition do not critically affect the overall task of modeling the trajectory configuration is put forward. The expediency of using variable simulation of a maneuverable trajectory in real time for path planning due to the operational bending of cubic B-splines in order to avoid any collisions is noted. As a demonstration of the practical applicability of constructing the optimal configuration of the spline trajectory, two different variants of the spline route in real time are designed in the form of sequential computer screenshots. The issue of providing automated route formation with synchronous representation of geometric computer support of a safe way line to the watch assistant, stimulating the possibility of intellectual assistance to the navigator in using the strategy of instantaneous adoption of an agreed decision on ship management by providing situational awareness, is actualized. The developed algorithm has been tested as a harmonized support for the navigation staff in the organization of effective routing. A hypothetical use of a planned approach for calculating the trajectory of a marine autonomous surface vessel in order to practically form the concept of unmanned navigation is proposed.

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Correlation-extreme method based on spline functions as an alternative to satellite navigation

Cited by 3 publications

References 18 publications

Map-aiding of the additional secondary factors isosurface by the spline approximation method as a condition of improving the e-Loran observations accuracy

Map-aiding of the additional secondary factors isosurface by the spline approximation method as a condition of improving the e-Loran observations accuracy

The problem of implementing the concept of maximum integration of heterogeneous data in practical navigation

Realization of the smoothness of spline trajectory configuration for avoidance of nogo areas in due time

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