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Guidelines for the use of GNSS in surveying and mapping

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Errors <strong>in</strong> <strong>the</strong> troposphere which are common to two<br />

receivers will cancel <strong>in</strong> <strong>the</strong> same way as <strong>the</strong><br />

ionospheric errors <strong>for</strong> relative position<strong>in</strong>g. However,<br />

<strong>the</strong> <strong>use</strong> <strong>of</strong> dual-frequency over long basel<strong>in</strong>es will<br />

not lead to any improvement. Absolute position<strong>in</strong>g<br />

errors can be up to several metres, if left<br />

uncorrected, although <strong>the</strong> application <strong>of</strong> one <strong>of</strong> <strong>the</strong><br />

st<strong>and</strong>ard models should reduce <strong>the</strong> effect to <strong>the</strong><br />

decimetre level, with errors <strong>in</strong> station height aga<strong>in</strong><br />

be<strong>in</strong>g <strong>the</strong> most pronounced.<br />

5.2 Multipath<br />

Multipath <strong>in</strong> <strong>GNSS</strong> measurements is a propagation<br />

error ca<strong>use</strong>d by <strong>the</strong> reflection <strong>of</strong> <strong>GNSS</strong> signals en<br />

route between <strong>the</strong> transmitt<strong>in</strong>g satellite <strong>and</strong> <strong>the</strong><br />

receiv<strong>in</strong>g antenna. Signals which have not followed<br />

<strong>the</strong> direct l<strong>in</strong>e <strong>of</strong> sight between <strong>the</strong> satellite <strong>and</strong><br />

receiver <strong>in</strong>terfere with <strong>the</strong> direct signals, <strong>and</strong> ca<strong>use</strong><br />

an error <strong>in</strong> <strong>the</strong> measurements. Multipath can occur<br />

at both <strong>the</strong> transmitt<strong>in</strong>g <strong>and</strong> receiv<strong>in</strong>g end <strong>of</strong> <strong>the</strong><br />

signal, i.e. at <strong>the</strong> satellite <strong>and</strong> at <strong>the</strong> ground<br />

antenna. The magnitude <strong>of</strong> <strong>the</strong> effect can reach<br />

several metres <strong>in</strong> pseudorange measurements, <strong>and</strong><br />

errors <strong>of</strong> this k<strong>in</strong>d directly affect <strong>the</strong> accuracy <strong>of</strong> a<br />

position<strong>in</strong>g solution. Fortunately, <strong>the</strong> effect on<br />

carrier phase measurements is about two orders <strong>of</strong><br />

magnitude less than on <strong>the</strong> code measurements.<br />

Although carrier phase may be <strong>the</strong> prime<br />

observable <strong>for</strong> survey<strong>in</strong>g <strong>and</strong> geodetic applications,<br />

<strong>the</strong> pseudorange measurements are <strong>use</strong>d <strong>in</strong> order<br />

to resolve <strong>the</strong> <strong>in</strong>itial ambiguities <strong>of</strong> <strong>the</strong> phase<br />

measurements.<br />

The effect <strong>of</strong> multipath is different <strong>for</strong> each satellite,<br />

<strong>and</strong> varies as <strong>the</strong> satellite moves across <strong>the</strong> sky.<br />

S<strong>in</strong>ce <strong>the</strong> effect is dependent on <strong>the</strong> location <strong>of</strong> <strong>the</strong><br />

receiv<strong>in</strong>g antenna, multipath errors clearly cannot<br />

be elim<strong>in</strong>ated by differential corrections. In fact, as<br />

multipath at a mobile receiver <strong>and</strong> multipath at a<br />

reference receiver are uncorrelated, <strong>the</strong>y may<br />

consequently have an additive effect.<br />

The factors which determ<strong>in</strong>e whe<strong>the</strong>r a particular<br />

<strong>GNSS</strong> <strong>in</strong>stallation is susceptible to multipath are<br />

many <strong>and</strong> varied. The location <strong>of</strong> <strong>the</strong> <strong>GNSS</strong><br />

antenna with respect to reflective surfaces, <strong>the</strong><br />

design <strong>of</strong> <strong>the</strong> antenna, <strong>the</strong> type <strong>of</strong> correlator <strong>in</strong> <strong>the</strong><br />

receiver, <strong>the</strong> signal to noise ratio, <strong>and</strong> <strong>the</strong> elevation<br />

<strong>and</strong> azimuth <strong>of</strong> <strong>the</strong> satellites, all contribute.<br />

5.2.1 Multipath – implications<br />

If an environment is ‘unfriendly’ <strong>in</strong> terms <strong>of</strong><br />

multipath, <strong>the</strong>n <strong>the</strong> best strategy is to observe over<br />

<strong>the</strong> longest possible period <strong>of</strong> time, <strong>in</strong> an attempt<br />

to average out <strong>the</strong> effect. This has obvious<br />

implications <strong>for</strong> methods which <strong>use</strong> rapid<br />

<strong>in</strong>itialisation such as medium precision static, where<br />

occupation times are typically <strong>of</strong> <strong>the</strong> order <strong>of</strong> 10 to<br />

15 m<strong>in</strong>utes, <strong>and</strong> <strong>for</strong> dynamic methods with<br />

observation durations <strong>of</strong> a few m<strong>in</strong>utes at <strong>the</strong> most.<br />

Determ<strong>in</strong><strong>in</strong>g <strong>the</strong> susceptibility <strong>of</strong> a location to<br />

multipath <strong>in</strong> both static <strong>and</strong> dynamic real-time<br />

<strong>GNSS</strong> survey methods is a problem which has<br />

been <strong>in</strong>vestigated. A critical test <strong>for</strong> static survey<br />

applications is given below, which should be <strong>use</strong>d<br />

only when absolutely necessary from a commercial<br />

po<strong>in</strong>t <strong>of</strong> view. It is far better to observe somewhere<br />

else <strong>and</strong> transfer a co-ord<strong>in</strong>ate to <strong>the</strong> required<br />

location us<strong>in</strong>g a traditional survey method. Antenna<br />

design is becom<strong>in</strong>g <strong>in</strong>creas<strong>in</strong>gly advanced to cope<br />

with <strong>the</strong> effects <strong>of</strong> multipath, through <strong>the</strong> <strong>use</strong> <strong>of</strong><br />

polarised antennas <strong>and</strong> choke r<strong>in</strong>gs. Fur<strong>the</strong>rmore, a<br />

consequence <strong>of</strong> phase-smooth<strong>in</strong>g is that multipath<br />

effects are attenuated, due to <strong>the</strong> reduced effect <strong>of</strong><br />

<strong>the</strong> multipath on <strong>the</strong> carrier phase.<br />

5.2.2 Multipath – critical test<strong>in</strong>g<br />

Various simple tests have been proposed to identify<br />

whe<strong>the</strong>r or not a given <strong>in</strong>stallation <strong>of</strong> a receiver<br />

actually suffers from a significant amount <strong>of</strong><br />

multipath, <strong>in</strong> ei<strong>the</strong>r <strong>the</strong> pseudorange or carrier<br />

phase measurements. In general, it can be<br />

assumed that <strong>for</strong> an antenna site which<br />

experiences multipath <strong>in</strong> carrier phase<br />

measurements, <strong>the</strong>re will also be an effect on <strong>the</strong><br />

pseudoranges, simply beca<strong>use</strong> <strong>the</strong> site has<br />

reflective surfaces <strong>in</strong> <strong>the</strong> vic<strong>in</strong>ity. However, <strong>the</strong><br />

effect on pseudoranges is not exactly <strong>the</strong> same as<br />

<strong>the</strong> effect on carrier phase, <strong>and</strong> could be many<br />

times larger. One st<strong>and</strong>ard method <strong>of</strong> identify<strong>in</strong>g<br />

carrier phase multipath is to exam<strong>in</strong>e residual plots<br />

on consecutive days. If trends can be seen from<br />

day to day, <strong>the</strong>n one can <strong>in</strong>fer that <strong>the</strong> results are<br />

38 | GUIDELINES FOR THE USE OF <strong>GNSS</strong> IN LAND SURVEYING AND MAPPING

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