An iterative method for attitude determination based on misaligned GNSS baselines

Ardalan, Alireza A.; Rezvani, Mohammad-Hadi

doi:10.1109/taes.2014.130070

Cited by 15 publications

(8 citation statements)

References 29 publications

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“…Since F(θ) is a quadratic form of θ, its third or higher order derivatives are all equal to zero, i.e., F (3) To rewrite the second term on the right-hand side of (A.6) as a sum of squares terms, we define the block-triangular transformation .…”

Section: Discussionmentioning

confidence: 99%

“…The residual term is independent of the parameters. Since the UC-AM disregards the constraints on X, we can let X = XUC (N) so that the third term on the righthand side of (3) is equal to zero, i.e., minimizing (3). Hence, the original optimization in (2) is equivalent to the following integer least-squares (ILS) problem min…”

Section: A the Unconstrained Attitude Determinationmentioning

confidence: 99%

See 1 more Smart Citation

Instantaneous GNSS Ambiguity Resolution and Attitude Determination via Riemannian Manifold Optimization

Liu¹,

Ballal²,

Ahmed³

et al. 2022

Preprint

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We present an ambiguity resolution method for Global Navigation Satellite System (GNSS)-based attitude determination. A GNSS attitude model with nonlinear constraints is used to rigorously incorporate a priori information. Given the characteristics of the employed nonlinear constraints, we formulate GNSS attitude determination as an optimization problem on a manifold. Then, Riemannian manifold optimization algorithms are utilized to aid ambiguity resolution based on a proposed decomposition of the objective function. The application of manifold geometry enables high-quality float solutions that are critical to reinforcing search-based integer ambiguity resolution in terms of efficiency, availability, and reliability. The proposed approach is characterized by a low computational complexity and a high probability of resolving the ambiguities correctly. The performance of the proposed ambiguity resolution method is tested through a series of simulations and real experiments. Comparisons with the principal benchmarks indicate the superiority of the proposed method as reflected by the high ambiguity resolution success rates.

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Section: Discussionmentioning

confidence: 99%

Section: A the Unconstrained Attitude Determinationmentioning

confidence: 99%

Instantaneous GNSS Ambiguity Resolution and Attitude Determination via Riemannian Manifold Optimization

Liu¹,

Ballal²,

Ahmed³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In addition, based on the attitude domain, a constrained ambiguity search method using a priori condition of attitude angle was proposed in [13]. Another way is to solve it by the attitude matrix according to [14,15]. e baseline coordinates are obtained by solving the overdetermined positioning equations of multiple satellites (at least 4 satellites) [16].…”

Section: Introductionmentioning

confidence: 99%

GNSS Single-Frequency, Single-Epoch Attitude Determination Method with Orthogonal Constraints

Jia

Cheng

et al. 2022

Mathematical Problems in Engineering

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Attitude determination is one of the most considerable applications in high-precision GNSS (Global Navigation Satellite System) positioning and navigation. For rigid-body applications, the baseline is approximately fixed on the same plane and its relative position does not change over time. This provides an important constraint that can be exploited to directly aid the attitude determination process. This study provides an attitude determination algorithm with orthogonal constraints for single frequency and single epoch by fully integrating the baseline orthogonal constraints into the observation equations. Carrier phase and pseudo-range measurement from more than two antennas are used to construct the double-difference observation equations. Given the inclusion analysis of the two search spaces, the LAMBDA algorithm is used to transform the non-ellipsoid space search into the ellipsoid space search. The attitude matrix is solved directly by the Lagrange multiplier method and the optimal solution is selected by search space verification. The analysis focuses on single-frequency, single-epoch, rigid-body attitude accuracy and calculation amount. Experimental results demonstrate that the proposed approach can effectively improve the success rate and reliability of single-frequency and single-epoch attitude resolution.

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“…As the anti-jamming attitude measurement algorithm and anti-jamming algorithms differ in the constraint conditions, so they should have different constraint criterion [3]. The constraint criterion used in anti-jamming algorithm is also not suitable for anti-jamming attitude determination algorithm.…”

Section: Introductionmentioning

confidence: 99%

An Anti-jamming Algorithm for Attitude Measurement Based on Antenna Array

Cui¹,

Cheng²,

He³

2016

MATEC Web Conf.

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Abstract. Aiming at the problems existing in the attitude measurement using carrier phase of navigation signal in the jamming environment, an antenna array for anti-jamming attitude measurement is constructed. The antenna array is constructed by three circle array with core. An anti-jamming measurement method based on antenna array is proposed. This method uses array antenna to estimate the direction of arrival jamming signal though MUSIC algorithm. Then the adaptive nulling algorithm based on the linear constrained minimum variance algorithm is used to eliminate the jamming and hold the navigation signal. Finally, the double difference method is used to measure the attitude. The whole attitude information is obtained by the attitude measurement of the two baselines. Simulation has been made for eliminating the jamming with adaptive nulling algorithm. Comparison of the attitude measurement accuracy is also made by simulation. The results show that the algorithm we proposed can significantly inhibit the jamming and improve the accuracy of attitude measurement.

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An iterative method for attitude determination based on misaligned GNSS baselines

Cited by 15 publications

References 29 publications

Instantaneous GNSS Ambiguity Resolution and Attitude Determination via Riemannian Manifold Optimization

Instantaneous GNSS Ambiguity Resolution and Attitude Determination via Riemannian Manifold Optimization

GNSS Single-Frequency, Single-Epoch Attitude Determination Method with Orthogonal Constraints

An Anti-jamming Algorithm for Attitude Measurement Based on Antenna Array

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