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Guidelines for the use of GNSS in surveying and mapping

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eceived <strong>GNSS</strong> code. The time shift is <strong>the</strong><br />

difference between <strong>the</strong> time <strong>of</strong> signal reception<br />

(measured <strong>in</strong> <strong>the</strong> receiver time frame) <strong>and</strong> <strong>the</strong> time<br />

<strong>of</strong> emission (measured <strong>in</strong> <strong>the</strong> satellite time frame).<br />

Pseudorange difference<br />

See Reconstructed carrier phase.<br />

Ratio quality factor<br />

See Integer bias search.<br />

RDOP (Relative dilution <strong>of</strong> precision)<br />

Multiply<strong>in</strong>g RDOP by <strong>the</strong> uncerta<strong>in</strong>ty <strong>of</strong> a double<br />

difference measurement yields <strong>the</strong> spherical<br />

relative-position error.<br />

Reconstructed carrier phase<br />

The difference between <strong>the</strong> phase <strong>of</strong> <strong>the</strong> <strong>in</strong>com<strong>in</strong>g<br />

Doppler-shifted <strong>GNSS</strong> carrier <strong>and</strong> <strong>the</strong> phase <strong>of</strong> a<br />

nom<strong>in</strong>ally constant reference frequency generated<br />

<strong>in</strong> <strong>the</strong> receiver. For static position<strong>in</strong>g, <strong>the</strong><br />

reconstructed carrier phase is sampled at epochs<br />

determ<strong>in</strong>ed by a clock <strong>in</strong> <strong>the</strong> receiver. The<br />

reconstructed carrier phase changes accord<strong>in</strong>g to<br />

<strong>the</strong> cont<strong>in</strong>uously <strong>in</strong>tegrated Doppler shift <strong>of</strong> <strong>the</strong><br />

<strong>in</strong>com<strong>in</strong>g signal, biased by <strong>the</strong> <strong>in</strong>tegral <strong>of</strong> <strong>the</strong><br />

frequency <strong>of</strong>fset between <strong>the</strong> satellite <strong>and</strong> receiver<br />

reference oscillators. The reconstructed carrier<br />

phase can be related to <strong>the</strong> satellite-to-receiver<br />

range, once <strong>the</strong> <strong>in</strong>itial range (or phase ambiguity)<br />

has been determ<strong>in</strong>ed. A change <strong>in</strong> <strong>the</strong> satellite-toreceiver<br />

range <strong>of</strong> one wavelength <strong>of</strong> <strong>the</strong> <strong>GNSS</strong><br />

carrier (19cm <strong>for</strong> L1) will result <strong>in</strong> a one-cycle<br />

change <strong>in</strong> <strong>the</strong> phase <strong>of</strong> <strong>the</strong> reconstructed carrier.<br />

Reference frame<br />

The realisation <strong>of</strong> any particular co-ord<strong>in</strong>ate<br />

reference system by <strong>the</strong> measurement <strong>of</strong> po<strong>in</strong>ts<br />

us<strong>in</strong>g survey <strong>in</strong>struments. There can be several<br />

realisations <strong>of</strong> any system as survey techniques<br />

<strong>and</strong> methods change.<br />

Reference system<br />

A ma<strong>the</strong>matical def<strong>in</strong>ition <strong>of</strong> <strong>the</strong> particular coord<strong>in</strong>ate<br />

system, <strong>in</strong>clud<strong>in</strong>g <strong>the</strong> orig<strong>in</strong>, scale position<br />

<strong>and</strong> orientation <strong>of</strong> <strong>the</strong> reference ellipsoid.<br />

Relative position<strong>in</strong>g<br />

The process <strong>of</strong> determ<strong>in</strong><strong>in</strong>g <strong>the</strong> relative difference <strong>in</strong><br />

position between two po<strong>in</strong>ts with greater precision<br />

than that to which <strong>the</strong> position <strong>of</strong> a s<strong>in</strong>gle po<strong>in</strong>t can<br />

be determ<strong>in</strong>ed. Here, a receiver (antenna) is placed<br />

over each po<strong>in</strong>t <strong>and</strong> measurements are made by<br />

observ<strong>in</strong>g <strong>the</strong> same satellites at <strong>the</strong> same time. This<br />

technique allows cancellation (dur<strong>in</strong>g computations)<br />

<strong>of</strong> all errors which are common to both observation<br />

sets, such as satellite clock errors, satellite<br />

ephemeris errors <strong>and</strong> <strong>the</strong> majority <strong>of</strong> propagation<br />

delays, etc. See Differential position<strong>in</strong>g.<br />

RINEX (Receiver Independent EXchange <strong>for</strong>mat)<br />

A set <strong>of</strong> st<strong>and</strong>ard def<strong>in</strong>itions <strong>and</strong> <strong>for</strong>mats to<br />

promote <strong>the</strong> free exchange <strong>of</strong> <strong>GNSS</strong> data <strong>and</strong><br />

facilitate <strong>the</strong> <strong>use</strong> <strong>of</strong> data from any <strong>GNSS</strong> receiver<br />

with any s<strong>of</strong>tware package. The <strong>for</strong>mat <strong>in</strong>cludes<br />

def<strong>in</strong>itions <strong>for</strong> three fundamental <strong>GNSS</strong><br />

observables: time, phase, <strong>and</strong> range.<br />

RMS, RMSE (root mean square (error))<br />

In general, when accuracies or tolerances have<br />

been specified, <strong>the</strong>y refer to vector errors <strong>and</strong> are<br />

def<strong>in</strong>ed statistically as root mean square errors<br />

(RMSE), or as maximum tolerances. The RMSE is<br />

equivalent to a 67% tolerance, <strong>and</strong> a 90%<br />

tolerance is 1.65 times <strong>the</strong> RMSE when a<br />

representative sample <strong>of</strong> po<strong>in</strong>ts is tested. Thus an<br />

RMSE <strong>of</strong> ± 0.01m <strong>in</strong>dicates that <strong>in</strong> a representative<br />

sample <strong>of</strong> 100 po<strong>in</strong>ts, it is expected that not less<br />

than 67 will be correct to better than ± 0.01m, <strong>and</strong><br />

not less <strong>the</strong>n 90 po<strong>in</strong>ts will be correct to better<br />

than ± 0.016m. Any errors exceed<strong>in</strong>g three times<br />

<strong>the</strong> RMSE, <strong>in</strong> this case ± 0.03m, can be regarded<br />

as mistakes.<br />

Selective availability (SA)<br />

A United States Department <strong>of</strong> Defense programme<br />

to limit <strong>the</strong> accuracy <strong>of</strong> C/A code GPS receivers to<br />

<strong>the</strong> 100m level. It <strong>in</strong>troduced deliberate errors to<br />

<strong>the</strong> C/A code <strong>in</strong><strong>for</strong>mation <strong>and</strong> affected <strong>the</strong> satellite<br />

clocks. It can be switched on or <strong>of</strong>f accord<strong>in</strong>g to<br />

<strong>the</strong> current US Government policy. It was set to<br />

zero by Presidential Decree on 1 May 2000, but it is<br />

possible <strong>for</strong> it to be re<strong>in</strong>stated at any time.<br />

Session<br />

A period when data is collected simultaneously at<br />

two or more stations, numbered us<strong>in</strong>g <strong>the</strong> Julian<br />

day, i.e. 121-1 is <strong>the</strong> first session on Julian day<br />

121.<br />

Sigma (one sigma)<br />

The 68th percentile or one st<strong>and</strong>ard deviation<br />

measure <strong>in</strong> a statistical population.<br />

GUIDELINES FOR THE USE OF <strong>GNSS</strong> IN LAND SURVEYING AND MAPPING |71

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