Method and device for estimation of the integrity risk in a satellite navigation system

1. A method for estimating an integrity risk in a satellite navigation system comprising:

receiving a plurality of navigation signals at a user system from at least one satellite, the plurality of navigation signals including data relevant to the integrity of the satellite navigation system and broadcast to the user system via satellites using navigation signals; and

estimating the integrity risk using a computer of the user system configured, via a computer program, to perform the following steps:

forming a plurality of intervals of an integration variable of an integral function, the integration variable of the integral function being determined based on the data;

estimating a maximum of the integrity risk for each interval;

comparing the maximum of each interval to find an overall maximum of all the intervals; and

using the overall maximum as an estimate of the integrity risk.

2. The method as recited in claim 1 , wherein estimating the maximum of the integrity risk includes calculating an upper bound for the integrity risk in each interval.

3. The method as recited in claim 2 , wherein the forming the plurality of intervals includes dividing the interval into n intervals of equal length according to:

[

ξ

min

+

i

-

1

n

⁢

(

ξ

max

-

ξ

min

)

,

ξ

min

+

i

n

⁢

(

ξ

max

-

ξ

min

)

]

,

wherein ξ is the integration variable, and wherein the calculating the upper bound includes calculating the upper bound according to:

P

MD

⁡

(

ξ

min

+

i

-

1

n

⁢

(

ξ

max

-

ξ

min

)

,

σ

SISA

,

σ

SISMA

)

/

(

ξ

min

+

i

n

⁢

(

ξ

max

-

ξ

min

)

,

σ

V

,

k

V

,

I

V

)

,

wherein P MD is a probability of an undesired event of an error detection and I is a probability of an undesired event of an effect on the navigation system, and wherein σ is a standard deviation.

4. The method as recited in claim 2 , wherein the determining the overall maximum includes finding a maximum of the upper bounds for each of the intervals and using the maxima of the upper bounds to find the overall maximum.

5. The method as recited in claim 1 , wherein the computer program is stored on a non-transitory data carrier.

6. The method as recited in claim 1 , wherein the data includes data concerning the accuracy of the plurality of navigation signals for each of the satellites, known as a signal in space accuracy (SISA), and status reports on the accuracy of a monitoring of the satellite by a ground segment, known as a signal in space monitoring accuracy (SISMA).

7. The method as recited in claim 1 , wherein the integration variable of the integral function is determined in accordance with the Galileo integrity concept and represents an estimation of a maximum error of the satellites or the signals emitted by the satellites, known as the signal in space error (SISE).

8. A computer program product comprising:

a computer usable non-transitory medium having a computer readable program code configured to receive a plurality of navigation signals at a user system from at least one satellite, the plurality of navigation signals including data relevant to the integrity of the satellite navigation system and broadcast to the user system via satellites using navigation signals, and to form a plurality of intervals of an integration variable of an integral function, the integration variable of the integral function being determined based on the data, to estimate a maximum of the integrity risk for each interval, to compare the maximum of each interval to find an overall maximum of all the intervals and to use the overall maximum as an estimate of the integrity risk.

9. The computer program product as recited in claim 8 , wherein the computer readable program code is configured to estimate the maximum of the integrity risk includes calculating an upper bound for the integrity risk in each interval.

10. The computer program product as recited in claim 9 , wherein the computer readable program code is configured to determine a maximum of the upper bounds for each of the intervals and using the maxima of the upper bounds to find the overall maximum.

11. The computer program product as recited in claim 8 , wherein the computer readable program code is configured to divide the interval into n intervals of equal length according to:

[

ξ

min

+

i

-

1

n

⁢

(

ξ

max

-

ξ

min

)

,

ξ

min

+

i

n

⁢

(

ξ

max

-

ξ

min

)

]

,

wherein ξ is the integration variable, and wherein the calculating the upper bound includes calculating the upper bound according to:

P

MD

⁡

(

ξ

min

+

i

-

1

n

⁢

(

ξ

max

-

ξ

min

)

,

σ

SISA

,

σ

SISMA

)

/

(

ξ

min

+

i

n

⁢

(

ξ

max

-

ξ

min

)

,

σ

V

,

k

V

,

I

V

)

,

wherein P MD is a probability of an undesired event of an error detection and I is a probability of an undesired event of an effect on the navigation system, and wherein σ is a standard deviation.

12. The computer program product as recited in claim 8 , wherein the computer usable medium is an integrated circuit.

13. The computer program product as recited in claim 8 , wherein the data includes data concerning the accuracy of the plurality of navigation signals for each of the satellites, known as a signal in space accuracy (SISA), and status reports on the accuracy of a monitoring of the satellite by a ground segment, known as a signal in space monitoring accuracy (SISMA).

14. The computer program product as recited in claim 8 , wherein the integration variable of the integral function is determined in accordance with the Galileo integrity concept and represents an estimation of a maximum error of the satellites or the signals emitted by the satellites, known as the signal in space error (SISE).