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Bernese GPS Software Version 5.0 - Bernese GNSS Software

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13. Differential Code Biases<br />

Figure 13.3: P1–C1 code bias estimates for the <strong>GPS</strong> satellite constellation, as computed<br />

at CODE.<br />

13.2 How to Correct P1–P2 and P1–C1 Code Biases<br />

By convention, IGS precise satellite clock corrections have to be consistent to the P1 and<br />

P2 observables. This implies that each clock correction contains the ionosphere-free linear<br />

combination of (unknown) BP1 and BP2 biases, i.e., 2.55 · BP1 − 1.55 · BP2. The same is by<br />

the way also true with regard to <strong>GPS</strong> broadcast satellite clock information.<br />

It is obvious that code tracking data from both the C1/X2 and the C1/P2 receiver class must<br />

be corrected in order to achieve full consistency with P1/P2 data, or precise satellite clock<br />

information. On the basis of BP1−P2 and BP1−C1 DCB values for the <strong>GPS</strong>/GLONASS<br />

satellite constellation, corrections may be derived for the three receiver classes initially<br />

introduced.<br />

Table 13.1 summarizes the necessary DCB corrections for six different linear combinations<br />

derived from the available code observables. As expected, no DCB correction is needed for<br />

the ionosphere-free (L3) linear combination of P1/P2 code data. To correct the (commonly<br />

used) L3 linear combination of C1/X2, or C1/P2, just a correction specific to the BP1−C1<br />

(not BP1−P2) DCB is necessary.<br />

Table 13.1 includes also the “classical” single-frequency (C1) case (see L1 for C1/X2 or<br />

C1/P2). An interesting detail is that the DCB correction in that case is not only −τGD =<br />

+1.55·BP1−P2 as suggested by [<strong>GPS</strong>-ICD, 1993] (cf. Eqn. (13.1)) but it includes in addition<br />

a correction term responding to +BP1−C1.<br />

Page 282 AIUB

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