Mapping of Niell - Revision history

Carlos.Lopez at 11:35, 23 February 2012

2012-02-23T11:35:13Z

← Older revision		Revision as of 11:35, 23 February 2012
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	\|Level=Advanced		\|Level=Advanced
	\|YearOfPublication=2011		\|YearOfPublication=2011
	~~\|Logo=gAGE~~
	\|Title={{PAGENAME}}		\|Title={{PAGENAME}}
	}}		}}

Jaume.Sanz at 10:58, 6 February 2012

2012-02-06T10:58:39Z

← Older revision		Revision as of 10:58, 6 February 2012
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	where, <math>t</math> is the time from January <math>0.0</math>, in days, and <math>T_0</math> is taken as DoY <math>28</math> (i.e., <math>T_0=28</math>). The parameters <math>\xi_{_{avg}}(\phi_i)</math> and <math>\xi_{_{amp}}(\phi_i)</math> are linearly interpolated from table 1 between the nearest <math>\xi(\~~phi_i~~)</math>. The <math>a_{ht}</math>, <math>b_{ht}</math>, <math>c_{ht}</math> are taken directly from the same table 1.		where, <math>t</math> is the time from January <math>0.0</math>, in days, and <math>T_0</math> is taken as DoY <math>28</math> (i.e., <math>T_0=28</math>). The parameters <math>\xi_{_{avg}}(\phi_i)</math> and <math>\xi_{_{amp}}(\phi_i)</math> are linearly interpolated from table 1 between the nearest <math>\xi(\Phi_i)</math>. The <math>a_{ht}</math>, <math>b_{ht}</math>, <math>c_{ht}</math> are taken directly from the same table 1.

Jaume.Sanz at 10:57, 6 February 2012

2012-02-06T10:57:12Z

← Older revision		Revision as of 10:57, 6 February 2012
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	*The wet parameters <math>a_w</math>, <math>b_w</math>, <math>c_w</math> are latitude dependent and are linearly interpolated from table 2 between the nearest <math>\xi(\~~phi_i~~)</math>.		*The wet parameters <math>a_w</math>, <math>b_w</math>, <math>c_w</math> are latitude dependent and are linearly interpolated from table 2 between the nearest <math>\xi(\Phi_i)</math>.

Jaume.Sanz at 10:56, 6 February 2012

2012-02-06T10:56:14Z

← Older revision		Revision as of 10:56, 6 February 2012
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	* The Hydrostatic parameters <math>a_d</math>, <math>b_d</math>, <math>c_d</math> are time <math>(t)</math> and latitude (<math>\~~phi~~)</math> dependent parameters given by:		* The Hydrostatic parameters <math>a_d</math>, <math>b_d</math>, <math>c_d</math> are time <math>(t)</math> and latitude (<math>\Phi)</math> dependent parameters given by:

	::<math>		::<math>

Jaume.Sanz at 10:53, 6 February 2012

2012-02-06T10:53:17Z

← Older revision		Revision as of 10:53, 6 February 2012
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	{{Article Infobox2		{{Article Infobox2
	\|Category=Fundamentals		\|Category=Fundamentals
	\|Authors=J. Sanz Subirana, JM. Juan Zornoza and M. ~~Hernandez~~-Pajares, University of ~~Catalunia~~, Spain.		\|Authors=J. Sanz Subirana, J.M. Juan Zornoza and M. Hernández-Pajares, Technical University of Catalonia, Spain.
	\|Level=Advanced		\|Level=Advanced
	\|YearOfPublication=2011		\|YearOfPublication=2011
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	\|Title={{PAGENAME}}		\|Title={{PAGENAME}}
	}}		}}
	A mapping function that does not require surface meteorology measurements, but provides comparable accuracy and precision to others that requires such data is presented in [Niell, 1996]<ref> [Niell, 1996] Niell, A., 1996. Global mapping functions for the atmosphere delay at radio wavelengths. Journal of Geophysical Research. 101, pp. 3227-3246.</ref>. This mapping only ~~use~~ the receiver geographic location and measurement time as inputs.		A mapping function that does not require surface meteorology measurements, but provides comparable accuracy and precision to others that requires such data is presented in [Niell, 1996]<ref> [Niell, 1996] Niell, A., 1996. Global mapping functions for the atmosphere delay at radio wavelengths. Journal of Geophysical Research. 101, pp. 3227-3246.</ref>. This mapping only uses the receiver geographic location and measurement time as inputs.

Carlos.Lopez at 08:35, 23 January 2012

2012-01-23T08:35:36Z

← Older revision		Revision as of 08:35, 23 January 2012
Line 1:		Line 1:
	{{Article Infobox2		{{Article Infobox2
	\|Category=Fundamentals		\|Category=Fundamentals
	~~\|Title={{PAGENAME}}~~
	\|Authors=J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain.		\|Authors=J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain.
	\|Level=Advanced		\|Level=Advanced
	\|YearOfPublication=2011		\|YearOfPublication=2011
			\|Logo=gAGE
			\|Title={{PAGENAME}}
	}}		}}
	A mapping function that does not require surface meteorology measurements, but provides comparable accuracy and precision to others that requires such data is presented in [Niell, 1996]<ref> [Niell, 1996] Niell, A., 1996. Global mapping functions for the atmosphere delay at radio wavelengths. Journal of Geophysical Research. 101, pp. 3227-3246.</ref>. This mapping only use the receiver geographic location and measurement time as inputs.		A mapping function that does not require surface meteorology measurements, but provides comparable accuracy and precision to others that requires such data is presented in [Niell, 1996]<ref> [Niell, 1996] Niell, A., 1996. Global mapping functions for the atmosphere delay at radio wavelengths. Journal of Geophysical Research. 101, pp. 3227-3246.</ref>. This mapping only use the receiver geographic location and measurement time as inputs.

Carlos.Lopez at 09:53, 28 October 2011

2011-10-28T09:53:35Z

← Older revision		Revision as of 09:53, 28 October 2011
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	\|Title={{PAGENAME}}		\|Title={{PAGENAME}}
	\|Authors=J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain.		\|Authors=J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain.
	\|Level=~~Basic~~		\|Level=Advanced
	\|YearOfPublication=2011		\|YearOfPublication=2011
	}}		}}

Carlos.Lopez at 08:34, 9 August 2011

2011-08-09T08:34:43Z

← Older revision		Revision as of 08:34, 9 August 2011
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	[[Category:Fundamentals]]		[[Category:Fundamentals]]
			[[Category:GNSS Measurements Modelling]]

Carlos.Lopez at 10:20, 8 August 2011

2011-08-08T10:20:50Z

← Older revision		Revision as of 10:20, 8 August 2011
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	}}		}}
	A mapping function that does not require surface meteorology measurements, but provides comparable accuracy and precision to others that requires such data is presented in [Niell, 1996]<ref> [Niell, 1996] Niell, A., 1996. Global mapping functions for the atmosphere delay at radio wavelengths. Journal of Geophysical Research. 101, pp. 3227-3246.</ref>. This mapping only use the receiver geographic location and measurement time as inputs.		A mapping function that does not require surface meteorology measurements, but provides comparable accuracy and precision to others that requires such data is presented in [Niell, 1996]<ref> [Niell, 1996] Niell, A., 1996. Global mapping functions for the atmosphere delay at radio wavelengths. Journal of Geophysical Research. 101, pp. 3227-3246.</ref>. This mapping only use the receiver geographic location and measurement time as inputs.


	The Niell's mapping involves two different obliquity factors, for the dry and wet components, which are computed from the equations (1) to (4), where <math>(E)</math> is the elevation of ray and <math>(H)</math> is the receiver height, in kilometres:		The Niell's mapping involves two different obliquity factors, for the dry and wet components, which are computed from the equations (1) to (4), where <math>(E)</math> is the elevation of ray and <math>(H)</math> is the receiver height, in kilometres:

Carlos.Lopez at 10:20, 8 August 2011

2011-08-08T10:20:35Z

← Older revision		Revision as of 10:20, 8 August 2011
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	where, <math>m(E,a,b,c)</math> is the [Marini, 1972]<ref> [Marini, 1972] Marini, J., 1972. Correction of Satellite tracking data for an arbitrary Tropospheric Pro_le. Radio Science. 7(2), pp. 223-231.</ref> mapping normalised to unity at zenith:		::where, <math>m(E,a,b,c)</math> is the [Marini, 1972]<ref> [Marini, 1972] Marini, J., 1972. Correction of Satellite tracking data for an arbitrary Tropospheric Pro_le. Radio Science. 7(2), pp. 223-231.</ref> mapping normalised to unity at zenith:


	::<math>		::<math>
	m(E,a,b,c)= \frac{1+\frac{a}{1+\frac{b}{1+c}}}{\sin E+\frac{a}{\sin E+\frac{b}{\sin E+c}}} \qquad\mbox{(3)}</math>		m(E,a,b,c)= \frac{1+\frac{a}{1+\frac{b}{1+c}}}{\sin E+\frac{a}{\sin E+\frac{b}{\sin E+c}}} \qquad\mbox{(3)}</math>



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	where, <math>t</math> is the time from January <math>0.0</math>, in days, and <math>T_0</math> is taken as DoY <math>28</math> (i.e., <math>T_0=28</math>). The parameters <math>\xi_{_{avg}}(\phi_i)</math> and <math>\xi_{_{amp}}(\phi_i)</math> are linearly interpolated from table 1 between the nearest <math>\xi(\phi_i)</math>. The <math>a_{ht}</math>, <math>b_{ht}</math>, <math>c_{ht}</math> are taken directly from the same table 1.		where, <math>t</math> is the time from January <math>0.0</math>, in days, and <math>T_0</math> is taken as DoY <math>28</math> (i.e., <math>T_0=28</math>). The parameters <math>\xi_{_{avg}}(\phi_i)</math> and <math>\xi_{_{amp}}(\phi_i)</math> are linearly interpolated from table 1 between the nearest <math>\xi(\phi_i)</math>. The <math>a_{ht}</math>, <math>b_{ht}</math>, <math>c_{ht}</math> are taken directly from the same table 1.


	*The wet parameters <math>a_w</math>, <math>b_w</math>, <math>c_w</math> are latitude dependent and are linearly interpolated from table 2 between the nearest <math>\xi(\phi_i)</math>.		*The wet parameters <math>a_w</math>, <math>b_w</math>, <math>c_w</math> are latitude dependent and are linearly interpolated from table 2 between the nearest <math>\xi(\phi_i)</math>.


	::[[File:Niell_Mapping_Table_1.png\|none\|thumb\|~~400px~~\|'''''Table 1:''''' Coefficients of the hydrostatic mapping function.]]		::[[File:Niell_Mapping_Table_1.png\|none\|thumb\|640px\|'''''Table 1:''''' Coefficients of the hydrostatic mapping function.]]


	::[[File:Niell_Mapping_Table_2.png\|none\|thumb\|~~400px~~\|'''''Table 2:''''' Coefficients of the wet mapping function.]]		::[[File:Niell_Mapping_Table_2.png\|none\|thumb\|640px\|'''''Table 2:''''' Coefficients of the wet mapping function.]]