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Mi
Multiplier 1(Note) 2 3 4
Kffmd 6.86 5.762 5.81 5.847
Kmd Not used 2.935 2.898 2.878
Note.— For APV I approaches supported by Type 101 messages broadcast without the B parameter block.
3.6.5.5.2.1 Normal measurements conditions. The horizontal protection level (HPLH0), assuming that normal
measurement conditions (i.e. no faults) exist in all reference receivers and on all ranging sources, is calculated as:
HPLH0 = Kffmd, POS
d
major
where:
2 2 2 2 2
x y x y 2
major xy
d d d d
d d
2 2
+ ⎛ − ⎞
= +
⎝ ⎠
2i
i
=
sy,i = the partial derivative of position error in the y-direction with respect to pseudo-range error on the ith satellite
Kffmd,POS = the multiplier derived from the probability of fault-free missed detection
N = the number of ranging so
i = the ranging s used in the position solution
σi = the pseudo-ran n 3.6.5.5.1.1
Note.— For the GBAS positio x and y axes define an arbit onal basis in the horizontal plane.
3.6.5.5.2.2 Faulted measur When the Type B parameter blocks, the
alue for HPLH1 is defined as zero. Otherwise, the horizontal protection le ing that a latent fault exists in
and only one reference receiver, is:
HPLH1 = max [HPLj]
⎜⎜ ⎟⎟ +
N
2 2
x x,i
i 1
d s
=
=Σ σ
N
d2y=Σs2y,iσ2
i 1
N
2
dxy =Σsx,isy,iσi
i=1
sx,i = the partial derivative of position error in the x-direction with respect to pseudo-range error on the ith satellite
urces used in the position solution
source index for ranging source
ge error term as defined i
ning service, the rary orthog
ement conditions. 101 message is broadcast without
v vel (HPLH1), assum
one
APP B-99 23/11/06
Annex 10 — Aeronautical Communications Volume I
where HPLj for j = 1 to 4 is:
zj| + Kmd_POS
d
major,H1
and
HPLj = |B_hor
N 2 N 2
j x,i i, j
i 1
S B
=
⎛ ⎞ ⎛ ⎞
= ⎜ ⎟
⎝ ⎠
Σ
the jth reference receiver measurement for the ith ranging source.
md tem is faulted.
y,i i, j
i 1
S B
=
+⎜ ⎟
⎝ ⎠
B_horz Σ
Bi,j = the broadcast differences between the broadcast pseudo-range corrections and the corrections obtained
excluding
K _POS = the multiplier derived from the probability of missed detection given that the ground subsys
2 2 2 2 2
x y x y 2
major,H1 xy
d_H1 d_H1 d_H1 d_H1
d d_H1
+ ⎛ − ⎞
= + ⎜⎜ ⎟⎟ +
i
2
i
Note.— For the GBAS positioning service, the x and y axes define an arbitrary orthogonal basis in the horizontal plane.
2 ⎝ 2 ⎠
N
2 2 2
x x,i
i 1
d_H1 s _H1
=
=Σ σ
N
2 2
y y,i
i 1
d_H1 s _H1
=
=Σ σ
N
2
xy x,i y,i i
i 1
d_H1 s s _H1
=
=Σ σ
2 i 2 2 2
i pr_gnd,i pr_air,i tropo,i iono,i
i
M
_H1
U
⎛ ⎞
σ =⎜ ⎟σ +σ +σ +σ
⎝ ⎠
2
Mi = the number of reference receivers used to compute the pseudo-range corrections for the ith ranging source
(indicated by the B values).
= the number of reference receivers used to compute the pseudo-range corrections for the ith ranging source,
excluding the jth reference receiver.
Note.— A latent fault includes any erroneous measurement(s) that is not immediately detected by the ground subsystem,
such that the broadcast data are affected and there is an induced position error in the aircraft subsystem.
3.6.5.5.2.3 Definition of K multipliers for GBAS positioning service. The multiplier Kffmd_POS is equal to 10.0 and the
multiplier Kmd_POS, is equal to 5.3.
.6.5.6 ALERT LIMITS
Note.— Guidance concerning the calculation of alert limits, including approaches associated with channel numbers
40 000 to 99 999, is provided in Attachment D, 7.13.
Ui
3
23/11/06 APP B-100
Appendix B Annex 10 — Aeronautical Communications
3.6.5.6.1 Category I precision approach alert limits. The alert limits are defined in Tables B-68 and B-69. For aircraft
positions at which the lateral deviation exceeds twice the deviation at which full-scale lateral deflection of a course deviation
indicator is achieved, or vertical deviation exceeds twice the deviation at which full-scale fly-down deflection of a course
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