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Bernese GPS Software Version 5.0 - Bernese GNSS Software

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12. Ionosphere Modeling and Estimation<br />

12.1 Motivation and Introductory Remarks<br />

You have to deal with ionospheric refraction, to be more specific, with the term I i k<br />

observation equation (Eqn. (2.34)), in the following processing steps:<br />

of the<br />

(1) single-point positioning (program CODSPP), if you do not use the ionosphere-free (L3)<br />

linear combination,<br />

(2) pre-processing (program MAUPRP),<br />

(3) ambiguity resolution (program <strong>GPS</strong>EST), if you do not make use of the Melbourne-<br />

Wübbena (L6) linear combination (see Section 2.3.6.4),<br />

(4) parameter estimation (program <strong>GPS</strong>EST), if you do not use the ionosphere-free (L3)<br />

linear combination, and<br />

(5) ionosphere mapping (programs <strong>GPS</strong>EST and IONEST).<br />

12.1.1 Choice of the Linear Combination<br />

You have to be aware that the choice of the linear combination to be analyzed in your final<br />

<strong>GPS</strong>EST analysis sets the course for your final results! This choice cannot be undone any<br />

more at the stage of ADDNEQ2 analyses. The same is by the way also valid in terms of<br />

elevation cut-off angle, weighting of observations, tropospheric mapping function, antenna<br />

phase center corrections, and so on.<br />

If you have solely single-frequency (L1) data at your disposal, there is nothing to choose<br />

at all. However, if you consider dual-frequency (L1/L2) data you cannot avoid making a<br />

decision. On one hand, in case of long baselines, you will certainly use the ionosphere-free<br />

(L3) linear combination. On the other hand, it is known that on very short baselines, in<br />

particular in the extreme case of so-called “zero-baselines,” L1/L2-based solutions perform<br />

significantly better. As a consequence of this, there must be a trade-off between L3 and<br />

L1/L2 solutions. Unfortunately, because of the pronounced variability of the ionosphere,<br />

it is quite impossible to generally give the baseline length where both kind of solutions<br />

perform similarly well. A “critical” length of, let us say, 1–10 kilometers is likely applicable<br />

– or may give at least an idea of the order of magnitude. This length, however, is transferable<br />

exclusively to mid-latitude regions. Finally, if you decide to use the basic carriers in their<br />

original form, it is better from our experience to ignore L2 and to use L1 only (see also<br />

Section 12.1.3).<br />

<strong>Bernese</strong> <strong>GPS</strong> <strong>Software</strong> <strong>Version</strong> <strong>5.0</strong> Page 253

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