OpenUCT :: Browsing by Author "Merry, Charles"

Browsing by Author "Merry, Charles"

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Open Access
Antenna axis offset and intersection determination using GPS
(1996) Combrinck, Willem Ludwig; Merry, Charles
Modern geodesy utilises advanced space techniques such as VLBI to further the study of crustal motion as well as tidal and rotational deformations of the Earth. One of the parameters in the model used to determine the baseline length between VLBI stations, is the antenna axis offset. This offset is the distance between the secondary axis and the normal projection of the secondary axis onto the primary axis. For a non-intersecting axes antenna mounting, this offset is usually several metres in length. The accuracy of the offset value directly influences the total accuracy of the VLBI results. This work describes how GPS is used to determine the offset and VLBI reference point. Several algorithms for calculating these parameters are investigated and evaluated. Methods are developed to minimise the size and influence of errors. An evaluation and comparison of the results to previous independent determinations of the offset, which use different techniques and instrumentation, clearly show the feasibility of using GPS. This method has the added advantage of allowing the VLBI, SLR and GPS reference frames to be co-located.
Open Access
The estimation of precipitable water vapour from GPS measurements in South Africa
(2005) Wonnacott, R T; Merry, Charles
The propagation of the Global Positioning System (GPS) signal from the satellite to the receiver is affected by, among other factors, the atmosphere through which it passes and, whereas the affects of the ionosphere can be eliminated by the differencing of two transmitted frequencies, the affects of the troposphere remain one of the major sources of noise in traditional geodetic and positioning applications of GPS. This noise can, however, be turned into a signal for the meteorologist and, by applying suitable constraints and processing strategies, it is possible to estimate the amount of precipitable water vapour (PWV) in the atmosphere. The application of the GPS data for the estimation of PWV in the atmosphere is not a new concept and has been described in numerous publications and reports since the early 1990's (Bevis et al., 1992, Rocken et al., 1993). This project is, however, an attempt to test the technique using the South African network of permanent GPS base stations. This thesis sets out to answer four fundamental questions: i. In theory, can GPS observations be used to estimate the amount of precipitable water vapour (PWV) in the atmosphere? ii. What permanent GPS networks are being used in other countries around the world for similar applications and how successful are these applications? iii. Can data derived from the South African network of permanent GPS base stations, TrigNet, be used to estimate PWV with sufficient accuracy to be able to supplement the radiosonde upper air measurements of the South African Weather Service (SAWS)? iv. Is the estimation of PWV as derived from the GPS observations a true reflection of reality using the radiosonde ascent measurements and numerical weather model (NWM) data as a method of independent verification? The primary data sets used to estimate atmospheric PWV at hourly intervals for March 2004 were; i. GPS data derived from the South African network of permanent GPS base stations provided by the Chief Directorate of Surveys and Mapping (CDSM); and ii. Surface meteorological measurements supplied by the South African Weather Service (SAWS). The two independent data sets used to verify and test the technique were; i. Upper air measurements derived from radiosonde ascents provided by the SAWS. These measurements were used to compute Integrated Water Vapour (IWV) and then converted to PWV; and ii. PWV estimates derived from a Numerical Weather Model provided by the Department of Environmental and Geographical Sciences of UCT. By the comparing the estimates of PWV from the three techniques, viz. GPS, radiosonde and NWM, it was found that GPS will meet the accuracy requirements of the meteorologist and could be used to supplement radiosonde measurements for use in numerical weather models.
Open Access
Free adjustment of a triangulation net
(1976) Jackson, Jonathan; Merry, Charles
It is often useful to determine the measures of precision of the directly observed quantities in a triangulation net. Provided the net is not strained these measures are unique to a particular set of observations and weights. Unique measures for the precision of the indirectly observed quantities cannot be found by classical means although several ad hoc approaches can be used to approximate to this measure of the 'inherent strength' of a net. Bjerhammar's theory of generalised matrix inverses can be used to derive measures of precision for the indirectly observed quantities, which may be interpreted as reflecting the inherent strength of the net. The theory of adjustment of a triangulation net by the method of variation of co-ordinates is described, followed by an explanation of the theory bf generalised inverses. Methods for the practical derivation of particular inverses are described, following Mittermayer. The characteristics of Normal, Transnormal and Stochastic Ring inverses in solution of Normal equations BX = R, are described.
Open Access
High precision GPS data processing for the survey of South African tide gauges
(2000) Zimba, Robert; Merry, Charles; Whittal, Jennifer
Bibliography: leaves 72-78.
Open Access
Influence of various troposphere modelling and estimation techniques on precise position estimation of permanent GPS arrays
(2003) Parker, Aslam; Merry, Charles
This thesis investigates the effect of introducing low elevation data (down to 5°), various a priori tropospheric delay models, mapping functions as well as the influence of tropospheric gradient parameters estimation on station position, precision and accuracy, in order to ascertain the optimal combination to use in routine processing of TrigNet station.
Open Access
Investigation of refraction effects for small GPS networks
(1991) Christiaans, Johan; Merry, Charles
Using observations from the Global Positioning System (GPS) satellites to determine a three dimensional (3-D) geodetic control network are considered. The repeatability of individual baselines and 3-D vector closures are examined, in order to investigate refraction effects on GPS networks. The effect on GPS baselines of a height bias in the reference point's coordinates is also investigated. A least squares adjustment program is developed and used to obtain a single consistent set of 3-D coordinates for the Tygerberg Test Network (TTN). The results of two GPS processing packages are compared by means of a conformal transformation. It is concluded that single frequency measurements produce better results than the ionospheric free observable on short baselines. Furthermore, a standard atmospheric model shows an improvement over the Marini model to account for tropospheric refraction.
Open Access
Sensing atmospheric water vapour using the global positioning system
(2006) Combrink, Adriaan Zacharias Albertus; Merry, Charles; Combrinck, Willem Ludwig
Atmospheric water vapour measurements are of importance to meteorologists, radio astronomers and geodesists. Precipitable water vapour (PWV) is a greenhouse gas to be reckoned with in numerical weather models and climate change studies, it is a nuisance in centimetre-wavelength radio astronomy and introduces range errors in space geodetic techniques. The propagation time of electromagnetic waves is the principal observable in the Global Positioning System (GPS). Accurate estimates of the delays experienced by the radio signals travelling from the satellites to ground-based receivers are made during the post-processing of GPS observations. In combination with meteorological observations made at the receiver, the estimated delays can be used to determine the amount of integrated precipitable water vapour along the signal path. In this thesis an overview of the basic GPS principles and components is provided, as well as a derivation, from first physical principles, of the mechanisms contributing to the delay experienced by a radio signal traversing the ionosphere and troposphere. Implementing this theoretical background, PWV and tropospheric delays are estimated and compared to measurements made by other techniques, namely radiosondes, water vapour radiometry and very long baseline interferometry (VLBI). A high degree of correlation is observed in all instances of inter-technique comparison. The usefulness of GPS-derived slant delays is demonstrated by their ability to reduce VLBI inter-station baseline repeatabilities when they are included in the VLBI analysis. However, this contributed to a higher mean formal baseline error. Furthermore, it shown that GPS-derived slant delay accuracies, when compared to radiometry, can be improved through the stacking of GPS processing residuals to make corrections for the effects of multi path and antenna phase centre variations. A modified residual stacking (MRS) method is proposed, in which data weighting is based on a measured autocorrelation function; however, in most instances the more complex MRS failed to significantly improve on the corrections made by normal residual stacking. GPS-derived PWV time-series from thirty South African stations for a four-year period are presented. A four-parameter model was fitted to the time-series to correct for seasonal effects and detect linear trends. It is shown that an autoregressive moving average (ARMA) model is required to estimate realistic trend uncertainties, rather than the white-noise model implicit in standard least-squares analyses. Furthermore, significant trends in PWV were observed in South Africa with the central parts showing a decrease in PWV during the study period, while an increase is observed over the southwest and northeast. These trends coincide with a temperature increase observed over the whole of South Africa for the study period. A hypothesis is presented to explain the different trends, based on the different sources of PWV in different climate areas. Lastly, vertical earth tide displacements (VETD) measured by gravimetry are compared to the modelled VETD applied during GPS processing. It is shown that rnismodelled VETD can contribute significant errors to GPS-derived PWV. A number of methods to mitigate this error are proposed and compared to each other, including a novel technique to accurately measure VETD by GPS.
Open Access
Splines and local approximation of the earth's gravity field
(1988) Van Gysen, Hermanus Gerhardus; Merry, Charles
The Hilbert space spline theory of Delvos and Schempp, and the reproducing kernel theory of L. Schwartz, provide the conceptual foundation and the construction procedure for rotation-invariant splines on Euclidean spaces, splines on the circle, and splines on the sphere and harmonic outside the sphere. Spherical splines and surface splines such as multi-conic functions, Hardy's multiquadric functions, pseudo-cubic splines, and thin-plate splines, are shown to be largely as effective as least squares collocation in representing geoid heights or gravity anomalies. A pseudo-cubic spline geoid for southern Africa is given, interpolating Doppler-derived geoid heights and astro-geodetic deflections of the vertical. Quadrature rules are derived for the thin-plate spline approximation (over a circular disk, and to a planar approximation) of Stokes's formula, the formulae of Vening Meinesz, and the L₁ vertical gradient operator in the analytical continuation series solution of Molodensky's problem.
Open Access
The use of spectral methods in Quasi-geoid modelling
(2001) Amod, Ameer; Merry, Charles
Bibliography: leaves 105-111.

Browsing by Author "Merry, Charles"

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