US 10,473,791 B1Granted

GBAS integrity performance evaluation method based on pseudorange error distribution model

AssigneeBeihang University

InventorsZhipeng Wang, Yanbo Zhu, Ludan Song

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Abstract

The present invention provides a ground-based augmentation system (GBAS) integrity performance evaluation method based on a pseudorange error distribution model, including: an airborne receiver terminal performing GBAS integrity performance evaluation by acquiring pseudorange error sample data, including the following method steps: a) grouping the pseudorange error sample data; b) building a distribution model having a Gaussian kernel and quadratic Gaussian polynomial tails for each group of pseudorange error samples; c) calculating a weighted sum of the distribution model of each group of pseudorange errors, to obtain an overall pseudorange error distribution model; d) projecting the pseudorange errors to position domain errors; e) calculating a probability that a position domain error is greater than an alarm limit, to obtain an integrity risk probability value; and f) evaluating GBAS integrity performance. The method improves the calculation accuracy of the integrity risk probability value and enhances the effectiveness of integrity evaluation.

A ground-based augmentation system (GBAS) integrity performance evaluation method based on a pseudorange error distribution model, wherein a data processor performs GBAS integrity performance evaluation by acquiring pseudorange error sample data, including the following method steps:

a) grouping the pseudorange error sample data;
b) building a distribution model having a Gaussian kernel and quadratic Gaussian polynomial tails for each group of pseudorange error samples, including:
calculating a standard deviation σi of each group of error samples, and fitting an error distribution kernel by using a Gaussian distribution having a mean μi of 0 and a standard deviation of σi, wherein a probability density distribution function is:
f
h
,
i
⁡
(
x
)
=
1
2
⁢
π
⁢
σ
i
⁢
e
-
x
2
2
⁢
σ
i
2
,

x

<
E
f
,
wherein Ef is a kernel-tail demarcation point, and i=1, . . . , τ;
modeling an error distribution tail by using a quadratic polynomial of a Gaussian kernel distribution, wherein a probability density function is:
f
w
,
i
⁡
(
x
)
=
af
h
,
i
2
⁡
(
x
)
+
bf
h
,
i
⁡
(
x
)
=
a
2
⁢
πσ
i
2
⁢
e
-
x
2
σ
i
2
+
b
2
⁢
π
⁢
σ
i
⁢
e
-
x
2
2
⁢
σ
i
2
,

x

>
E
f
,
wherein a and b are respectively a quadratic coefficient and a primary coefficient, and satisfy a+b=1 and
0
<
a
<
-
1
2
;
and
the error sample distribution satisfies:
f
i
⁡
(
x
)
=
{
α
⁢
f
h
,
i
⁡
(
x
)
,

x

<
E
f
α
⁢
f
w
,
i
⁡
(
x
)
,

x

>
E
f
,
wherein
α is a scale factor and satisfies:
α
=
{
∫
x
=
-
∞
-
E
f
⁢
⁢
f
w
,
i
⁡
(
x
)
⁢
dx
+
∫
x
=
-
E
f
E
f
⁢
⁢
f
h
,
i
⁡
(
x
)
⁢
dx
+
∫
x
=
E
f
∞
⁢
⁢
f
w
,
i
⁡
(
x
)
⁢
dx
}
-
1
;
c) calculating a weighted sum of the distribution model of each group of pseudorange errors, to obtain an overall pseudorange error distribution model;
d) projecting the pseudorange errors to position domain errors;
e) calculating a probability that a position domain error is greater than an alarm limit, to obtain an integrity risk probability value;
and
f) evaluating GBAS integrity performance.

232 more elements

Facts

Application

16/430,847Filed 4 Jun 2019

Priority

CN 2019 1 023662127 Mar 2019

Granted

12 Nov 2019

Term ends

Not estimatedThe source records don’t support an estimate.

Classification7 codes

G01S 19/08
Cooperating elements; Interaction or communication between different cooperating elements or between cooperating elements and receivers: providing…
G01S 19/15
Specially adapted for specific applications: aircraft landing systems
G01S 19/07
Cooperating elements; Interaction or communication between different cooperating elements or between cooperating elements and receivers: providing…
G01S 19/20
Receivers: integrity monitoring, fault detection or fault isolation of space segment

Abstract

Claims9