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Ionosphere-free Combination for Dual Frequency Receivers: Difference between revisions
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{{Article Infobox2 | {{Article Infobox2 | ||
|Category=Fundamentals | |Category=Fundamentals | ||
|Authors=J. Sanz Subirana, | |Authors=J. Sanz Subirana, J.M. Juan Zornoza and M. Hernández-Pajares, Technical University of Catalonia, Spain. | ||
|Level=Basic | |Level=Basic | ||
|YearOfPublication=2011 | |YearOfPublication=2011 | ||
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|Title={{PAGENAME}} | |Title={{PAGENAME}} | ||
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According to the phase and code [[Ionospheric Delay|ionospheric refraction]], the first order ionospheric effects on code <math>R_{P}</math> and carrier-phase <math>\Phi_L</math> measurements depend (99.9%) on the inverse of squared signal frequency <math>f</math>. Thence, the dual-frequency receivers can eliminate | According to the phase and code [[Ionospheric Delay|ionospheric refraction]], the first order ionospheric effects on code <math>R_{P}</math> and carrier-phase <math>\Phi_L</math> measurements depend (99.9%) on the inverse of squared signal frequency <math>f</math>. Thence, the dual-frequency receivers can eliminate their effect through a linear combination of code or carrier measurements: | ||
Revision as of 12:47, 6 February 2012
| Fundamentals | |
|---|---|
| Title | Ionosphere-free Combination for Dual Frequency Receivers |
| Author(s) | J. Sanz Subirana, J.M. Juan Zornoza and M. Hernández-Pajares, Technical University of Catalonia, Spain. |
| Level | Basic |
| Year of Publication | 2011 |
According to the phase and code ionospheric refraction, the first order ionospheric effects on code [math]\displaystyle{ R_{P} }[/math] and carrier-phase [math]\displaystyle{ \Phi_L }[/math] measurements depend (99.9%) on the inverse of squared signal frequency [math]\displaystyle{ f }[/math]. Thence, the dual-frequency receivers can eliminate their effect through a linear combination of code or carrier measurements:
- [math]\displaystyle{ \Phi_{_{\mbox{iono-free}}}=\frac{f_1^2\;\Phi_{_{L_1}}-f_2^2\;\Phi_{_{L_2}}}{f_1^2-f_2^2} }[/math]
- [math]\displaystyle{ R_{_{\mbox{iono-free}}}=\frac{f_1^2\;R_{_{P_1}}-f_2^2\;R_{_{P_2}}}{f_1^2-f_2^2} \qquad\mbox{(1)} }[/math]
This combination is named Ionosphere-free (see Combination of GNSS Measurements and Combining Pairs of Signals).
It must be pointed out that the Precise Point Positioning uses code and carrier phase measurements in the ionosphere-free combination to remove the ionospheric refraction, because it is one of the effects more difficult to model accurately. Moreover the TGDs also cancel in this combination and are not needed (being the satellite clocks referred to the ionospheric free combination of such codes, see Combining Pairs of Signals).