Multipath reduction from GPS double differences using wavelets: How far can we go?

Wavelets are being extensively used in Geodetic applications. In this paper, the Multi-Resolution Analysis (MRA) using wavelets is applied to pseudorange and carrier phase GPS double differences (DDs) in order to reduce multipath effects. The wavelets were already applied to GPS carrier phase DDs, but some questions remain: How good can be the results, and are all multipath effects reduced? The answers to these questions are discussed in this paper. Thus, the wavelet transform is used to decompose the DD signals, splitting them in lower resolution components. After the decomposition process, the wavelet shrinkage is performed by thresholding to eliminate the components relative to multipath effects. Then, the DD observation can be reconstructed. This new DD signal is used to perform the baseline processing. The daily multipath repeatability was verified. With the application of the proposed approach, the results showed that the reliability of the ambiguity resolution and accuracy of the results improved when compared with the standard procedure. Furthermore, the method showed to be very efficient computationally, because, it is not noticed, at practical level, difference in the time span between the processing with and without application of the proposed method. However, only the high frequency multipath was eliminated.

An effective wavelet method to detect and mitigate low-frequency multipath effects

To ensure high accuracy results from GPS relative positioning, the multipath effects have to be mitigated. Although the careful selection of antenna site and the use of especial antennas and receivers can minimize multipath, it cannot always be eliminated and frequently the residual multipath disturbance remains as the major error in GPS results. The high-frequency multipath from large delays can be attenuated by double difference (DD) denoising methods. But the low-frequency multipath from short delays is very difficult to be reduced or modeled. In this paper, it is proposed a method based on wavelet regression (WR), which can effectively detect and reduce the low-frequency multipath. The wavelet technique is firstly applied to decompose the DD residuals into the low-frequency bias and high-frequency noise components. The extracted bias components by WR are then directly applied to the DD observations to correct them from the trend. The remaining terms, largely characterized by the high-frequency measurement noise, are expected to give the best linear unbiased solutions from a least-squares (LS) adjustment. An experiment was carried out using objects placed close to the receiver antenna to cause, mainly, low-frequency multipath. The data were collected for two days to verify the multipath repeatability. The ground truth coordinates were computed with data collected in the absence of the reflector objects. The coordinates and ambiguity solution were compared with and without the multipath mitigation using WR. After mitigating the multipath, ambiguity resolution became more reliable and the coordinates were more accurate.

The impact of adding SBAS data on GPS data processing in southeast of Brazil: Preliminary result

Nowadays, L1 SBAS signals can be used in a combined GPS+SBAS data processing. However, such situation restricts the studies over short baselines. Besides of increasing the satellite availability, SBAS satellites orbit configuration is different from that of GPS. In order to analyze how these characteristics can impact GPS positioning in the southeast area of Brazil, experiments involving GPS-only and combined GPS+SBAS data were performed. Solutions using single point and relative positioning were computed to show the impact over satellite geometry, positioning accuracy and short baseline ambiguity resolution. Results showed that the inclusion of SBAS satellites can improve the accuracy of positioning. Nevertheless, the bad quality of the data broadcasted by these satellites limits their usage. © Springer-Verlag Berlin Heidelberg 2012.

Influência da ionosfera no posicionamento GPS: estimativas dos resíduos no contexto de duplas diferenças e eliminação dos efeitos de 2ª e 3ª ordem

Pós-graduação em Ciências Cartográficas - FCT

Solução rápida das ambigüidades GPS para aplicações no posicionamento relativo de linhas de base curtas

Pós-graduação em Ciências Cartográficas - FCT

As ambiguidades linguísticas no inglês e a tradução automática inglês-português: um estudo exploratório

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Posicionamento GPS utilizando o conceito de estação virtual

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Introdução e aplicação da diluição da precisão das ambiguidades GNSS - ADOP

The main topic of this paper is the Ambiguity Dilution of Precision known as ADOP. Basically, ADOP is defined as a diagnostic measure for assessing the precision of the float scalar ambiguities. Among the several possibilities, the ADOP can provide help in predicting the behavior of a baseline or a network of GNSS receivers, concerning the problem of ambiguity resolution, either in real-time (instantaneous) or in the post-processing mode. The main advantage of using ADOP is possibility of the extraction of a closed analytical expression, considering various factors that affect the ambiguity resolution. Furthermore, the ADOP is related to the success rate of ambiguity resolution. The expressions here used, takes into account several factors, for example, a priori information of the measurement precision of GNSS carrier phase and pseudorange, the number of stations and satellites, the number of available frequencies and the behavior of the atmosphere (ionosphere and troposphere). Several scenarios were established so as to analyze the impact of each factor in ambiguities resolution, within the context of some stations of the São Paulo GNSS network (GNSS-SP).

Strain rates estimated by geodetic observations in the Borborema Province, Brazil

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Posicionamento por ponto preciso com solução de ambiguidades inteiras no contexto de rede GPS

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Optimistic fair exchange with strong resolution-ambiguity

Optimistic fair exchange (OFE) allows two parties to exchange their digital items in a fair way. As one of the fundamental problems in secure electronic business and digital rights management, OFE has been studied intensively since its introduction. This paper introduces and defines a new property for OFE: Strong Resolution-Ambiguity. We show that many existing OFE protocols have the new property, but its formal investigation has been missing in those protocols. We prove that in the certified-key model, an OFE protocol is secure in the multi-user setting if it is secure in the single-user setting and has the property of strong resolution-ambiguity. Our result not only simplifies the security analysis of OFE protocols in the multi-user setting but also provides a new approach for the design of multi-user secure OFE protocols. Following this approach, a new OFE protocol with strong resolution-ambiguity is proposed. Our analysis shows that the protocol is setup-free, stand-alone and multi-user secure without random oracles.

How the owl resolves auditory coding ambiguity

The barn owl (Tyto alba) uses interaural time difference (ITD) cues to localize sounds in the horizontal plane. Low-order binaural auditory neurons with sharp frequency tuning act as narrow-band coincidence detectors; such neurons respond equally well to sounds with a particular ITD and its phase equivalents and are said to be phase ambiguous. Higher-order neurons with broad frequency tuning are unambiguously selective for single ITDs in response to broad-band sounds and show little or no response to phase equivalents. Selectivity for single ITDs is thought to arise from the convergence of parallel, narrow-band frequency channels that originate in the cochlea. ITD tuning to variable bandwidth stimuli was measured in higher-order neurons of the owl’s inferior colliculus to examine the rules that govern the relationship between frequency channel convergence and the resolution of phase ambiguity. Ambiguity decreased as stimulus bandwidth increased, reaching a minimum at 2–3 kHz. Two independent mechanisms appear to contribute to the elimination of ambiguity: one suppressive and one facilitative. The integration of information carried by parallel, distributed processing channels is a common theme of sensory processing that spans both modality and species boundaries. The principles underlying the resolution of phase ambiguity and frequency channel convergence in the owl may have implications for other sensory systems, such as electrolocation in electric fish and the computation of binocular disparity in the avian and mammalian visual systems.

EU Mission in Kosovo (EULEX): Constructing Ambiguity or Constructive Disunity? Transatlantic Security Paper No. 3, June 2011

In which skies should auspices about the future of EU foreign policy be looked for, Libya’s or Kosovo’s? Many commentators have been prompt in digging the grave for EU Security and Defense Policy after Member States’ discordance over taking military action against the Qaddafi regime1. However, as this paper will emphasize through the case of Kosovo, unanimity is not always an indispensable prerequisite – and should not be regarded as the sole criteria – to EU action in regional security. Overly focusing on the ‘speak with one voice’ mantra sometimes leads to stop short of assessing actual outcomes.

Drawing a line in the Taiwan Strait: 'strategic ambiguity' and its discontents

The Bush administration's continuing emphasis on US military deterrence of the PRC on behalf of Taiwan threatens to undermine the posture of 'strategic ambiguity' that the United States has proclaimed since 1979. This article argues for the retention of 'strategic ambiguity' and traces the origins of revisionist sentiment towards this effective conflict avoidance mechanism to reactions within the US foreign policy community to the 1995-96 Taiwan Strait crisis. Case studies of this crisis and its predecessors in 1954-55 and 1958 demonstrate that US military deterrence was not a decisive factor in their resolution. US and PRC initiatives and responses in the 1950s crises introduced the essential elements of 'strategic ambiguity' into the triangular relationship between themselves and Taiwan. In particular, they established a precedent for the United States and the PRC in circumscribing the issue of Taiwan so as to achieve a political accommodation.