Testing a new multivariate GNSS carrier phase attitude determination method for remote sensing platforms

Giorgi, Gabriele; Teunissen, Peter; Verhagen, Sandra; Buist, Peter J.

doi:10.1016/j.asr.2010.02.023

Cited by 75 publications

(61 citation statements)

References 24 publications

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“…This method is currently the best performing attitude determination method as was demonstrated in land, sea, and air experiments. Example publications describing such actual real-world GNSSattitude determination results can be found in [3][4][5][6]. The underlying theory and advanced algorithms for much of the above-referred integer-ambiguity-resolved carrier-phase GNSS attitude determination methods can be found in [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Attitude Determination Algorithms through Accelerometers, GNSS Sensors, and Gravity Vector Estimator

Celis

Cadarso

2018

International Journal of Aerospace Engineering

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Aircraft and spacecraft navigation precision is dependent on the measurement system for position and attitude determination. Rotation of an aircraft can be determined measuring two vectors in two different reference systems. Velocity vector can be determined in the inertial reference frame from a GNSS-based sensor and by integrating the acceleration measurements in the body reference frame. Estimating gravity vector in both reference frames, and combining with velocity vector, determines rotation of the body. A new approach for gravity vector estimations is presented and employed in an attitude determination algorithm. Nonlinear simulations demonstrate that using directly the positioning and velocity outputs of GNSS sensors and strap-down accelerometers, aircraft attitude determination is precise, especially in ballistic projectiles, to substitute precise attitude determination devices, usually expensive and forced to bear high solicitations as for instance G forces.

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Section: Introductionmentioning

confidence: 99%

Attitude Determination Algorithms through Accelerometers, GNSS Sensors, and Gravity Vector Estimator

Celis

Cadarso

2018

International Journal of Aerospace Engineering

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“…With the development of modern global navigation satellite systems (GNSS), GNSS-based attitude determination has been a vital part in spacecraft instrumentation and measurement [2]. This leads to different algorithms of attitude determination on various platforms, for example, remote sensing and marine navigation [3,4]. In such applications, the attitude determination from vector observation pairs is usually an effective solution [5,6].…”

Section: Introductionmentioning

confidence: 99%

Optimal Attitude Determination from Vector Sensors Using Fast Analytical Singular Value Decomposition

Liu

Gong

et al. 2018

Journal of Sensors

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A novel algorithm is proposed in this paper to solve the optimal attitude determination formulation from vector observation pairs, that is, the Wahba problem. We propose here a fast analytic singular value decomposition (SVD) approach to obtain the optimal attitude matrix. The derivations and mandatory proofs are presented to clarify the theory and support its feasibility. Through simulation experiments, the proposed algorithm is validated. The results show that it maintains the same attitude determination accuracy and robustness with conventional methodologies but significantly reduces the computation time.

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“…(Cohen et al 1994;Axelrad and Ward 1994;Lopes 2002;Ziebart and Cross 2003;Madsen and Lightsey 2004;Dai et al 2004;Unwin et al 2002;Buist et al 2010) and examples of airor shipborne applications are attitude-heading reference systems for aviation, development of antenna pointing systems, joint precision and approach landing, low-cost UAV attitude determination for remote sensing and precise docking of vessels, see e.g. (Corbett 1993;Lu 1995;Lachapelle et al 1996;DeLorenzo et al 2004;Hide and Pinchin 2007;Giorgi et al 2010).…”

Section: Introductionmentioning

confidence: 99%

The affine constrained GNSS attitude model and its multivariate integer least-squares solution

Teunissen

2011

J Geod

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A new global navigation satellite system (GNSS) carrier-phase attitude model and its solution are introduced in this contribution. This affine-constrained GNSS attitude model has the advantage that it avoids the computational complexity of the orthonormality-constrained GNSS attitude model, while it still has a significantly improved ambiguity resolution performance over its unconstrained counterpart. The functional and stochastic model is formulated in multivariate form, for one-, two-and three-dimensional antenna arrays, tracking GNSS signals on an arbitrary number of frequencies with two or more antennas. The stochastic model includes the capability to capture variations in the antennaquality within the array. The multivariate integer leastsquares solution of the model parameters is given and the model's ambiguity success-rate is analysed by means of the ambiguity dilution of precision (ADOP). A general closedform expression for the affine-constrained ADOP is derived, thus providing an easy-to-use and insightful rule-of-thumb for the ambiguity resolution capabilities of the affine constrained GNSS attitude model.

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Testing a new multivariate GNSS carrier phase attitude determination method for remote sensing platforms

Cited by 75 publications

References 24 publications

Attitude Determination Algorithms through Accelerometers, GNSS Sensors, and Gravity Vector Estimator

Attitude Determination Algorithms through Accelerometers, GNSS Sensors, and Gravity Vector Estimator

Optimal Attitude Determination from Vector Sensors Using Fast Analytical Singular Value Decomposition

The affine constrained GNSS attitude model and its multivariate integer least-squares solution

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