Introduction to Modern Navigation Systems

Bekir, Esmat

doi:10.1142/9789812708755

Cited by 61 publications

(25 citation statements)

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“…numerical approximations) rather than w t for t varying from kdt to (k+1)dt that causes the SINS error, because it is the outputs at kdt that is used in the SINS calculation. This claim is different from that in (Bekir, 2007) p186 and that in (Xu, 2012) where the Ito stochastic integral is performed, where all values in the interval rather than the single w kdt that is used in construction of the discrete equation (16). This claim is of vital importance to treating the cross-correlation in the proposed model which will be detailed in the sequel.…”

Section: Two-position Initial Alignment Modelmentioning

confidence: 86%

“…Note that in (Bekir, 2007), k w represents the joint effect of all w t in the interval, rather than w t at the t=kdt epoch as in (16). If we follow this construction, there is no need to consider the cross-correlation at all, even mathematically, because the w g in (34), exactly the w t at kdt epoch, is only one of the infinite number of w t .…”

Section: Treating the Cross-correlation Between The Process And Measumentioning

confidence: 99%

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Fast two-position initial alignment for SINS using velocity plus angular rate measurements

Chang

2015

Advances in Space Research

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Section: Two-position Initial Alignment Modelmentioning

confidence: 86%

Section: Treating the Cross-correlation Between The Process And Measumentioning

confidence: 99%

Fast two-position initial alignment for SINS using velocity plus angular rate measurements

Chang

2015

Advances in Space Research

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“…This paper gives heading navigation results in the limit where practical errors do not exist. There are many applied, or practical, techniques for navigational guidance built with various sensors (see Pratap and Per [3], Beverly [4], Chowdhary [5], Anthony [6], and Bekir [7]). These techniques possess errors inherent in the instrumentation (GPS, gyroscopes, inertial guidance systems, etc.)…”

Section: E2-2mentioning

confidence: 99%

“…The heading models were required to start distance computations at the equator on -90 degrees longitude and advance northward in position 4.E. [2][3][4][5][6][7][8] to the North Pole. Thus the computations were carried out for ¼ of Earth's circumference as seen in Table 2.…”

Section: Speed and Accuracy Testsmentioning

confidence: 99%

Mathematical formulation of a fast-time geometric heading navigation model

Fairley

McGovern

2010

29th Digital Avionics Systems Conference

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This paper introduces a new mathematical method for reckoning paths of constant heading along an oblate ellipsoidal surface (e.g., the Earth) and for determining the distances of those paths. The method is particularly fast and accurate, lending itself to use in computationally intensive computer applications, including fast-time aviation simulations and any navigation-related Monte Carlo simulations, where fast execution times and position accuracy are both desirable. This method performs especially well for paths having a large distance and for headings that include changes in both latitude and longitude. In the paper, the proposed method and a traditional "exact" method are derived and their fundamental governing equations provided. Two other methods are also presented for comparison. All methods can produce a final position given an initial position, heading, and distance to be traveled. These methods can also be used to find the distance to a line of longitude or latitude, given a heading and an initial position. For each of four, an example of total path distance is calculated (two of the methods have known, precise World Geodetic System 84 results which are used). These total path distances are then compared to each other for accuracy and in terms of the required calculation execution times.

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“…However, in urban canyons, rural tree canopies and tunnels, the GPS satellite signal is usually disrupted or blocked, leading to a degradation or interruption in the positioning information provided to the users. To acquire a positioning solution during GPS outages, GPS can be augmented with low-cost sensors such as accelerometers, gyroscopes, and odometer to overcome the limitations of the GPS receivers when used in standalone mode [2,3].…”

Section: Introductionmentioning

confidence: 99%

2D Mobile multi-sensor navigation system realization using FPGA-based embedded processors

Abdelfatah

Georgy

Iqbal

et al. 2011

2011 24th Canadian Conference on Electrical and Computer Engineering(CCECE)

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Global positioning system (GPS) is a satellite-based navigation system that is widely used for different navigation applications. In open-sky, GPS can provide an accurate navigation solution, however, in urban canyons and indoor environments, the satellite signals are blocked and GPS fails to provide a reliable navigation solution. Towards the search for a more accurate and low-cost positioning solution, integrated navigation algorithms are developed which utilize the measurements of low-cost motion sensors such as accelerometers and gyroscopes, and integrate them with GPS measurements to provide a reliable navigation solution. The goal of this research paper is to narrow the idea-to-implementation gap by realizing the navigation algorithm on a portable low-cost real-time embedded system. The role of such system is to acquire and synchronize the measurements from multiple sensors and then apply a navigation algorithm which integrates the various measurements to provide a reliable real-time navigation solution.

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Introduction to Modern Navigation Systems

Cited by 61 publications

References 0 publications

Fast two-position initial alignment for SINS using velocity plus angular rate measurements

Fast two-position initial alignment for SINS using velocity plus angular rate measurements

Mathematical formulation of a fast-time geometric heading navigation model

2D Mobile multi-sensor navigation system realization using FPGA-based embedded processors

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