METHOD AND APPARATUS FOR TRANSFORMING OVERBOUNDS

• US 20070222669A1
• Filed: 03/07/2007
• Published: 09/27/2007
• Est. Priority Date: 03/08/2006
• Status: Active Grant

• Current Assignee: Airbus Defence and Space GmbH
• Original Assignee: Eads Astrium GmbH
• Inventors: Trautenberg, Hans, Frankenberger, Harald
• Granted Patent: US 8,849,569 B2
• Time in Patent Office: Days
• US Class Current: 342/127
• CPC Class Codes: G01S 19/08 providing integrity information, e.g. health of satellites or quality of ephemeris data
• CPC Class Codes: G01S 19/20 Integrity monitoring, fault detection or fault isolation of space segment

Abstract

A method for determining overbounds comprises the steps of determining conservative overbounds (q_i) of at least one error (ε_i) in a first phase space, multiplying the conservative overbounds (q_i) of errors (ε_i) in the first phase space by a first parameter (θ(−x)·2) and a second parameter (θ(x)·2), and determining an upper bound for the integrity risk at the alert limit (p_w,int(AL)) in a second phase space using overbounds (q_i) of errors (ε_i) in the first phase space by the first parameter (θ(−x)·2) and the second parameter (θ(x)·2).

Claims

1. A method for determining limiting overbounds for distributions generated by a system, said method comprising:

determining overbounds (q_i) of at least one error (ε

_i) in a first phase space;

multiplying the overbounds (q_i) of errors (ε

_i) in the first phase space by a first parameter (θ

(−

x)·

2) and a second parameter (θ

(x)·

2); and

determining an upper bound for the integrity risk at an alert limit (P_w,int(AL)) in a second phase space using overbounds (q_i) of errors (ε

_i) in the first phase space by the first parameter (θ

(−

x)·

2) and the second parameter (θ

(x)·

2).

2. The method according to claim 1, where the first phase space is the range domain and the second phase space is the position domain.

3. The method according to claim 1, where the first parameter (θ

(−

x)·

2) and the second parameter (θ

(x)·

2) are equal and constant.

4. A computer readable medium encoded with a program for determining limiting overbounds for distributions generated by a system, by performing the following steps:

determining overbounds (q_i) of at least one error (ε

_i) in a first phase space;

multiplying the overbounds (q_i) of errors (ε

_i) in the first phase space by a first parameter (θ

(−

x)·

2) and a second parameter (θ

(x)·

2); and

determining an upper bound for the integrity risk at an alert limit (p_w,int(AL)) in a second phase space using overbounds (q_i) of errors (ε

_i) in the first phase space by the first parameter (θ

(−

x)·

2) and the second parameter (θ

(x)·

2).

5. The computer readable medium according to claim 4, where the first phase space is the range domain and the second phase space is the position domain.

6. The computer readable medium according to claim 4, where the first parameter (θ

(−

x)·

2) and the second parameter (θ

(x)·

2) are equal and constant.