DGNSS Fundamentals - Revision history

Gema.Cueto: /* DGNSS Algorithm */

2020-05-20T13:33:49Z

DGNSS Algorithm

← Older revision		Revision as of 13:33, 20 May 2020
Line 48:		Line 48:

	<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \mathbf{{x}} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \mathbf{{x}} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

	~~<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>~~

	where <math>\mathbf{{u}_o^{sat} }</math> is the unitary vector between the reference station and the satellite. As there are not only one satellite in view, the estimation process is in fact a linear equation system, easily to solve. Depending on the distance between the rover and the reference stations, it could be needed to perform an iterative computation.		where <math>\mathbf{{u}_o^{sat} }</math> is the unitary vector between the reference station and the satellite. As there are not only one satellite in view, the estimation process is in fact a linear equation system, easily to solve. Depending on the distance between the rover and the reference stations, it could be needed to perform an iterative computation.

Gema.Cueto: /* DGNSS Algorithm */

2020-05-20T13:33:26Z

DGNSS Algorithm

← Older revision		Revision as of 13:33, 20 May 2020
Line 47:		Line 47:
	When single differencing of both pseudoranges, <math> \Delta P = P_o - P </math>, the ionospheric and tropospheric delays cancell out and also the satellite clock offset. The basic equation per satellite to solve is:		When single differencing of both pseudoranges, <math> \Delta P = P_o - P </math>, the ionospheric and tropospheric delays cancell out and also the satellite clock offset. The basic equation per satellite to solve is:

	<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta mathbf{{x}} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \mathbf{{x}} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

	<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

Gema.Cueto: /* DGNSS Algorithm */

2020-05-20T13:32:45Z

DGNSS Algorithm

← Older revision		Revision as of 13:32, 20 May 2020
Line 47:		Line 47:
	When single differencing of both pseudoranges, <math> \Delta P = P_o - P </math>, the ionospheric and tropospheric delays cancell out and also the satellite clock offset. The basic equation per satellite to solve is:		When single differencing of both pseudoranges, <math> \Delta P = P_o - P </math>, the ionospheric and tropospheric delays cancell out and also the satellite clock offset. The basic equation per satellite to solve is:

	<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta mathbf{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta mathbf{{x}} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

	<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

Gema.Cueto: /* DGNSS Algorithm */

2020-05-20T13:31:58Z

DGNSS Algorithm

← Older revision		Revision as of 13:31, 20 May 2020
Line 47:		Line 47:
	When single differencing of both pseudoranges, <math> \Delta P = P_o - P </math>, the ionospheric and tropospheric delays cancell out and also the satellite clock offset. The basic equation per satellite to solve is:		When single differencing of both pseudoranges, <math> \Delta P = P_o - P </math>, the ionospheric and tropospheric delays cancell out and also the satellite clock offset. The basic equation per satellite to solve is:

	<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta {x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta mathbf{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

	<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

Gema.Cueto: /* DGNSS Algorithm */

2020-05-20T13:31:16Z

DGNSS Algorithm

← Older revision		Revision as of 13:31, 20 May 2020
Line 47:		Line 47:
	When single differencing of both pseudoranges, <math> \Delta P = P_o - P </math>, the ionospheric and tropospheric delays cancell out and also the satellite clock offset. The basic equation per satellite to solve is:		When single differencing of both pseudoranges, <math> \Delta P = P_o - P </math>, the ionospheric and tropospheric delays cancell out and also the satellite clock offset. The basic equation per satellite to solve is:

	<math>\qquad \Delta P=\mathbf{{u}_o^{sat} }\Delta ~~mathbf{~~{x}} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta {x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

	<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

Gema.Cueto at 13:30, 20 May 2020

2020-05-20T13:30:19Z

← Older revision		Revision as of 13:30, 20 May 2020
Line 47:		Line 47:
	When single differencing of both pseudoranges, <math> \Delta P = P_o - P </math>, the ionospheric and tropospheric delays cancell out and also the satellite clock offset. The basic equation per satellite to solve is:		When single differencing of both pseudoranges, <math> \Delta P = P_o - P </math>, the ionospheric and tropospheric delays cancell out and also the satellite clock offset. The basic equation per satellite to solve is:

	<math>\qquad \Delta P=\mathbf{{u}_o^{sat} }\Delta {~~mathbf~~{x}} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} }\Delta mathbf{{x}} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

	<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

Gema.Cueto: /* DGNSS Algorithm */

2020-05-20T13:28:51Z

DGNSS Algorithm

← Older revision		Revision as of 13:28, 20 May 2020
Line 51:		Line 51:
	<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

	where <math>\~~bold~~{u}_o^{sat}</math> is the unitary vector between the reference station and the satellite. As there are not only one satellite in view, the estimation process is in fact a linear equation system, easily to solve. Depending on the distance between the rover and the reference stations, it could be needed to perform an iterative computation.		where <math>\mathbf{{u}_o^{sat} }</math> is the unitary vector between the reference station and the satellite. As there are not only one satellite in view, the estimation process is in fact a linear equation system, easily to solve. Depending on the distance between the rover and the reference stations, it could be needed to perform an iterative computation.

	==Notes==		==Notes==

Gema.Cueto: /* DGNSS Algorithm */

2020-05-20T13:28:03Z

DGNSS Algorithm

← Older revision		Revision as of 13:28, 20 May 2020
Line 49:		Line 49:
	<math>\qquad \Delta P=\mathbf{{u}_o^{sat} }\Delta {mathbf{x}} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} }\Delta {mathbf{x}} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

	<math>\qquad \Delta P=\~~bold~~{u}_o^{sat} \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} } \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

	where <math>\bold{u}_o^{sat}</math> is the unitary vector between the reference station and the satellite. As there are not only one satellite in view, the estimation process is in fact a linear equation system, easily to solve. Depending on the distance between the rover and the reference stations, it could be needed to perform an iterative computation.		where <math>\bold{u}_o^{sat}</math> is the unitary vector between the reference station and the satellite. As there are not only one satellite in view, the estimation process is in fact a linear equation system, easily to solve. Depending on the distance between the rover and the reference stations, it could be needed to perform an iterative computation.

Gema.Cueto: /* DGNSS Algorithm */

2020-05-20T13:26:42Z

DGNSS Algorithm

← Older revision		Revision as of 13:26, 20 May 2020
Line 47:		Line 47:
	When single differencing of both pseudoranges, <math> \Delta P = P_o - P </math>, the ionospheric and tropospheric delays cancell out and also the satellite clock offset. The basic equation per satellite to solve is:		When single differencing of both pseudoranges, <math> \Delta P = P_o - P </math>, the ionospheric and tropospheric delays cancell out and also the satellite clock offset. The basic equation per satellite to solve is:

	<math>\qquad \Delta P=\mathbf{{u}_o^{sat} }\Delta mathbf{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} }\Delta {mathbf{x}} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

	<math>\qquad \Delta P=\bold{u}_o^{sat} \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\bold{u}_o^{sat} \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

Gema.Cueto: /* DGNSS Algorithm */

2020-05-20T13:25:32Z

DGNSS Algorithm

← Older revision		Revision as of 13:25, 20 May 2020
Line 47:		Line 47:
	When single differencing of both pseudoranges, <math> \Delta P = P_o - P </math>, the ionospheric and tropospheric delays cancell out and also the satellite clock offset. The basic equation per satellite to solve is:		When single differencing of both pseudoranges, <math> \Delta P = P_o - P </math>, the ionospheric and tropospheric delays cancell out and also the satellite clock offset. The basic equation per satellite to solve is:

	<math>\qquad \Delta P={u}_o^{sat} \Delta {x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\mathbf{{u}_o^{sat} }\Delta mathbf{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>

	<math>\qquad \Delta P=\bold{u}_o^{sat} \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>		<math>\qquad \Delta P=\bold{u}_o^{sat} \Delta \bold{x} +c \Delta b_{Rx} +\Delta \varepsilon \qquad \mbox{(4)}</math>