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Table 1 Comparison of different public providers of products to enable PPP-AR

From:  An assessment of the interoperability of PPP-AR network products

 

Fractional Cycle Bias (FCB) model

Decoupled Clock (DC) model

Integer Recovery Clock (IRC) model

 

Combined (GRG)

Uncombined (CNT)

PPP-AR Products

\( d{\tilde{t}}_{IF}^{ps} \)

\( {\tilde{a}}_{q, WN}^{ps} \)

\( {\tilde{a}}_{q,1}^{ps} \)

- code clock

- wide lane

- narrow lane

\( \delta {\tilde{t}}_{IF}^{ps} \)

\( d{\tilde{t}}_{IF}^{ps} \)

\( {\tilde{\delta}}_{WN}^{ps} \)

- phase clock

- code clock

- wide lane clock

\( \delta {\tilde{t}}_{IF}^{ps} \)

- phase clock

\( d{\tilde{t}}_{IF}^{ps} \)

\( {\tilde{\delta}}_{,i}^{ps} \)

\( {\tilde{d}}_{,i}^{ps} \)

- code clock

- phase equipment delay

- code equipment delay

\( {\tilde{\delta}}_{WN}^{ps} \)

- wide lane clock

Provided product units

\( d{\tilde{t}}_{IF}^{ps} \)

\( {\tilde{a}}_{q, WN}^{ps} \)

\( {\tilde{a}}_{q,1}^{ps} \)

- seconds

- cycles

- cycles

\( \delta {\tilde{t}}_{IF}^{ps} \)

\( \delta {\tilde{t}}_{IF}^{ps}-d{\tilde{t}}_{IF}^{ps} \)

\( {\tilde{\delta}}_{WN}^{ps} \)

- seconds

- nanoseconds

- nanoseconds

\( \delta {\tilde{t}}_{IF}^{ps} \)

\( {\tilde{\delta}}_{WN}^{ps} \)

- seconds

- cycles

\( d{\tilde{t}}_{IF}^{ps} \)

\( {\tilde{\delta}}_{,i}^{ps} \)

\( {\tilde{d}}_{,i}^{ps} \)

- seconds

- nanoseconds

- nanoseconds

Data rate

\( d{\tilde{t}}^{ps} \)

\( {\tilde{a}}_{q,1}^{ps} \)

\( {\tilde{a}}_{q, WN}^{ps} \)

- 30 s

- 15 min

- daily

\( \delta {\tilde{t}}_{IF}^{ps} \)

\( d{\tilde{t}}^{ps} \)

\( {\tilde{\delta}}_{WN}^{ps} \)

- 30 s

- 30 s

- 30 s

\( \delta {\tilde{t}}_{IF}^{ps} \)

- 30 s

\( d{\tilde{t}}^{ps} \) \( {\tilde{\delta}}_{,i}^{ps} \)

\( {\tilde{d}}_{,i}^{ps} \)

- 5 s

- 5 s

- 5 s

\( {\tilde{\delta}}_{WN}^{ps} \)

- daily

General assumptions

Constant \( {\tilde{a}}_{q,W}^{ps} \) are estimated daily by averaging arc-dependent estimates.

No constraints or smoothing applied.

\( \delta {\tilde{t}}_{IF}^{ps} \)aligned to the satellite pseudorange clocks within a narrow lane cycle. \( {\tilde{\delta}}_{WN}^{ps} \) represents a daily average

\( {\tilde{\delta}}_{WN}^{ps} \) estimated as unconstrained in the network work solution with white noise added at each epoch.

Products used

Post-processed

Post-processed

Post-processed

Archived real-time

Network solution

Global.

IGS final products

Global.

EMR rapid products

Global.

GRG final products

Global.

GRG ultra-rapid products

PPP user model

\( \Delta {p}_{u, IF}^{ps},\Delta {\phi}_{u, IF}^{ps},\Delta {p}_{u, NL}^{ps},\Delta {\phi}_{u, WL}^{ps} \) or \( \Delta {p}_{u, IF}^{ps},\Delta {\phi}_{u, IF}^{ps},\Delta {\phi}_{u, WN}^{ps} \)

User defined

P1, P2 correction

   

\( {\tilde{d}}_{,i}^{ps} \)

L1, L2 correction

   

\( {\tilde{\delta}}_{,i}^{ps} \)

NL correction

\( {\tilde{a}}_{q,1}^{ps} \)

   

WL correction

\( {\tilde{a}}_{q, WN}^{ps} \)

\( {\tilde{\delta}}_{WN}^{ps} \)

\( {\tilde{\delta}}_{WN}^{ps} \)