Comparative evaluation and validation of single and dual frequency GPS observations



Table.1: The standard deviations obtained in X, Y & Z using different ionospheric models provided in SKI –GPS observations processing software.
Sr. No. Baseline Identification Ionospheric Model UsedStandard Deviation (geodetic coordinates) in m
 SX SY SZ
1 Ref._10 No model 0.0108 0.0474 0.0644
   Standard 0.0108 0.0474 0.0645
   Computed 0.0107 0.0471 0.0641
   Global/Regional 0.0108 0.0474 0.0644
   Klobuchar 0.0108 0.0474 0.0644
2 Ref._01 No model 0.0030 0.0124 0.0031
   Standard 0.0030 0.0123 0.0032
   Computed 0.0031 0.0122 0.0032
   Global/Regional 0.0030 0.0124 0.0031
   Klobuchar 0.0030 0.0124 0.0031
3 Ref._07 No model 0.0011 0.0040 0.0029
   Standard 0.0011 0.0042 0.0030
   Computed 0.0011 0.0041 0.0029
   Global/Regional 0.0011 0.0040 0.0029
   Klobuchar 0.0011 0.0040 0.0029
4 Ref._08 No model 0.0035 0.0105 0.0062
   Standard 0.0035 0.0105 0.0062
   Computed 0.0035 0.0105 0.0062
   Global/Regional 0.0035 0.0105 0.0062
   Klobuchar 0.0035 0.0105 0.0062
5 Ref._09 No model 0.0032 0.0087 0.0053
   Standard 0.0031 0.0084 0.0051
   Computed 0.0032 0.0086 0.0053
   Global/Regional 0.0032 0.0087 0.0053
   Klobuchar 0.0032 0.0087 0.0053
6 Ref._02 No model 0.0028 0.0075 0.0078
   Standard 0.0028 0.0074 0.0077
   Computed 0.0026 0.0071 0.0074
   Global/Regional 0.0028 0.0075 0.0078
   Klobuchar 0.0028 0.0074 0.0077
7 Ref._03 No model 0.0005 0.0006 0.0014
   Standard 0.0013 0.0016 0.0043
   Computed 0.0013 0.0045 0.0019
   Global/Regional 0.0005 0.0006 0.0014
   Klobuchar 0.0039 0.0051 0.0126
8 Ref._04 No model 0.0026 0.0066 0.0051
   Standard 0.0025 0.0066 0.0050
   Computed 0.0026 0.0067 0.0051
   Global/Regional 0.0026 0.0066 0.0051
   Klobuchar 0.0026 0.0067 0.0050


Parameters-Selected input
Cut-off angle (deg.)-10
Tropospheric model-Hopfield
Ionospheric model-Computed
Solution type-Standard
Ephemeris-Broadcast

Accuracy evaluation of the measurement of the same points using single and dual frequency receivers
The GPS observation data with single frequency and dual frequency were processed using SKI processing software version 2.3.1. Baselines were computed between the reference and respective rovers for single and dual frequency observations and results are shown in the Table- 2. In processing following specification were selected.

Table. 2: Difference between Dual & Single Frequency observations
Baseline StationResiduals (Difference between Dual & Single Frequency observations )
 lat (cm)long (cm)height(cm)
Ref. – 01 -46.83 9.78-68.44
Ref. – 02 -44.13 -22.47 -68.08
Ref. – 03 -42.69 -24.57 -76.84
Ref. – 04 -42.42 -13.14 -72.26
Ref. – 07 -34.59 -15.96 -92.97
Ref. – 08 -15.96 -15.93 -83.1

It is found that considering the offset of placing the single frequency receiver away from the dual frequency and comparing the baseline distance in terms of geodetic coordinates, it gives difference less than one metre in all the three latitude, longitude and height values.

The difference between the reference and the rover point coordinates are computed without considering the offset part in setting the GPS receivers. The differences in the distances are shown in the Table 3.1, 3.2 and 3.3.

Validation of results
Validation of results was carried out by baseline distance verification and computing the triangle closing error methods.

Baseline distance verification
Baseline distances were calculated from positional coordinates obtained using both single and dual frequency observations. These baseline distances were compared with that from actual ground measurements. Details of the comparisons is given in tables 3.1


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