In this contribution it will be shown that a correct stochastic model will dramatically improve the degraded performance of carrier-phase ambiguity resolution in the presence of biases. The focus in this paper is on code biases caused by multipath, as it is known to be a dominant error source in high-accuracy GNSS applications. A bias in the observations will propagate in the parameter estimate...

SUMMARY A newly developed GNSS (Global Navigation Satellite System) carrier phase ambiguity resolution method to determine the full attitude and dynamic draught of ships is analysed. GNSS receivers placed onboard a ship can provide both absolute vertical motions relative to a fixed vertical reference on earth, to be used (in combination with nautical chart datum) to estimate the UKC (Under-Keel...

Reliable ambiguity resolution in difficult environments such as during setting/rising events of satellites or during limited satellite visibility is a significant challenge for GPS single frequency kinematic relative positioning. Here, a recursive estimation method combining both code and carrier phase measurements was developed that can tolerate recurrent satellite setting/rising and accelerat...

While frequency-resolved optical gating (FROG) is widely used in characterizing the ultrafast pulse optics, analytic signals are often considered time-frequency analysis and signal processing, especially when extracting instantaneous features of events. In this paper we examine phase retrieval (PR) problem CN by their FROG measurements. After establishing ambiguity FROG-PR signals, found that e...

Global Navigation Satellite System carrier phase ambiguity resolution is the key to high precision positioning and attitude determination. In this contribution we consider the GNSS compass model. We derive the integer least-squares estimators and discuss the various steps involved in the ambiguity resolution process. This includes the method that has successfully been used in (Park and Teunisse...

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 count...

The GPS double difference carrier phase measurements are ambiguous by an unknown integer number of cycles. High precision relative GPS positioning based on short observational timespan data, is possible, when reliable estimates of the integer double difference ambiguities can be determined in an efficient manner. In this contribution a new method is introduced that enables very fast integer lea...

Phase measurements obtained by high-coherence interferometry are restricted by the 2π ambiguity, to height differences smaller than λ/2. A further restriction in most interferometric systems is for focusing the system on the measured object. We present two methods that overcome these restrictions. In the first method, different segments of a measured wavefront are digitally propagated and focus...

Carrier phase ambiguity resolution is the key to fast and high precision GPS kinematic positioning. Critical in the application of ambiguity resolution is the quality of the computed integer ambiguities. Unsuccessful ambiguity resolution, when passed unnoticed, will too often lead to unacceptable errors in the positioning results. In order to describe the quality of the integer ambiguities, the...

Phase microscopy for high-dynamic-range quantitative phase-contrast imaging of a transparent phase object was demonstrated. Using a common path Fourier domain optical coherence tomography system, this technique is capable of displacement measurement with a sensitivity of 34 pm. The limitation of 2pi ambiguity restriction was overcome by the use of a phase retrieval approach performed in spectra...