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0, if neither fast nor long-term corrections have timed out for precision approach
C if fast or long-term corrections have timed out for precision approach
⎧
ε =⎨⎩
3.5.5.6.2.5 UDRE degradation factor calculated with message Type 28 data. The δUDRE is:
T
δUDRE = I ⋅C⋅I+εc
where
I =
x
y
z
i
i
,
i
1
⎡ ⎤
⎢ ⎥
⎢ ⎥
⎢ ⎥
⎢ ⎥
⎢⎣ ⎥⎦
x
y
z
i
i
i
⎡ ⎤
⎢ ⎥
⎢ ⎥
⎢⎣ ⎥⎦
= the unit vector from the user to the satellite in the WGS-84 ECEF coordinate frame
C = RT · R
εC = Ccovariance · SF
SF = 2scale exponent–5
R = E · SF
E =
1,1 1,2 1,3 1,4
2,2 2,3 2,4
3,3 3,4
4,4
E E E E
0 E E E
0 0 E E
0 0 0 E
⎡ ⎤
⎢ ⎥
⎢ ⎥
⎢ ⎥
⎢ ⎥
⎢⎣ ⎥⎦
3.5.5.6.3 Definition of ionospheric correction error model
3.5.5.6.3.1 Broadcast ionospheric corrections. If SBAS-based ionospheric corrections are applied, σ2
UIRE is:
σ2
UIRE = F2
pp × σ2
UIVE
where
Fpp = (as defined in 3.5.5.5.2);
4 3
2 2 2 2
UIVE n n,ionogrid UIVE n n,ionogrid
n 1 n 1
W or W
= =
σ =Σ ⋅ σ σ =Σ ⋅ σ
using the same ionospheric pierce point weights (Wn) and grid points selected for the ionospheric correction (3.5.5.5). For
each grid point:
Annex 10 — Aeronautical Communications Volume I
23/11/06 APP B-58
2
GIVE iono iono 2i
,ionogrid 2 2
GIVE iono iono
( + ) , if RSS = 0 (Type 10 message)
+ , if RSS = 1 (Type 10 message)
σ =⎧⎨⎪σ ε
⎩⎪σ ε
where
εiono = Ciono_step iono
iono
t t
I
⎡ − ⎤
⎢ ⎥
⎣ ⎦
+ Ciono_ramp (t – tiono);
t = the current time;
tiono = the time of transmission of the first bit of the ionospheric correction message at the GEO; and
[x] = the greatest integer less than x.
Note.— For GLONASS satellites, both σGIVE and σIONO parameters are to be multiplied by the square of the ratio of the
GLONASS to the GPS frequencies (fGLONASS/fGPS)2.
3.5.5.6.3.2 Ionospheric corrections. If SBAS-based ionospheric corrections are not applied, σ2
UIRE is:
2
2 iono 2
UIRE pp vert
T
MAX ,(F )
5
σ = ⎧⎨⎪⎛⎜ ⎞⎟ ⋅τ ⎪⎫⎬
⎩⎪⎝ ⎠ ⎭⎪
where
Tiono = the ionospheric delay estimated by the chosen model (GPS correction or other model);
Fpp = (as defined in 3.5.5.5.2);
pp
vert pp
pp
9 m, 0 20
= 4.5 m, 20 55; and
6 m, 55
⎧ ≤ φ ≤
⎪⎪
τ <φ ≤ ⎨⎪
< φ ⎪⎩
φpp = latitude of the ionospheric pierce point.
3.5.5.6.3.3 GLONASS clock. The degradation parameter for GLONASS clock correction is:
εGLONASS_CLOCK = CGLONASS_CLOCK • [t - tGLONASS_CLOCK]
where
t = the current time
t GLONASS_CLOCK = the time of transmission of the first bit of the timing message (MT12) at the GEO
[sc] = the greatest integer less than sc.
Note 1.— For non-GLONASS satellites εGLONASS_CLOCK = 0.
Note 2.— CGLONASS_CLOCK = 0.00833 cm/s.
3.5.6 MESSAGE TABLES
Each SBAS message shall be coded in accordance with the corresponding message format defined in Tables B-37 through
B-53. All signed parameters in these tables shall be represented in two’s complement, with the sign bit occupying the MSB.
Note.— The range for the signed parameters is smaller than indicated, as the maximum positive value is constrained to
be one value less (the indicated value minus the resolution).
Appendix B Annex 10 — Aeronautical Communications
APP B-59 23/11/06
Table B-37. Type 0 “Do Not Use” message
Data content Bits used Range of values Resolution
Spare 212 — —
Table B-38. Type 1 PRN mask message
Data content Bits used Range of values Resolution
For each of 210 PRN code numbers
Mask value 1 0 or 1 1
IODP 2 0 to 3 1
Note.— All parameters are defined in 3.5.4.1.
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