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Galileo OS SIS ICD.indd - GSA - Europa

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The relation of the 8 phase states to the 16 different possible states of the quadruple<br />

e E5a-I(t), e E5a-Q(t), e E5b-I(t), and e E5b-Q(t) depends also on time. Therefore, time is partitioned<br />

fi rst in sub-carrier intervals T s,E5 and further sub-divided in 8 equal sub-periods. The<br />

index i Ts of the actual sub-period is given by Eq. 7 and determines which relation<br />

between input quadruple and phase states has to be used.<br />

� 8<br />

iT s � integer part�<br />

�t ��<br />

Ts,<br />

E5<br />

modulo<br />

�<br />

Ts,<br />

E5<br />

�� ��<br />

with iT<br />

s � �0, 1,<br />

2,<br />

3,<br />

4,<br />

5,<br />

6,<br />

7 �<br />

Eq. 7<br />

The dependency of phase-states from input-quadruples and time is given in Table 6.<br />

i Ts<br />

2.3.2. E6 Signal<br />

Input Quadruples<br />

eE5a-I -1 -1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 1 1<br />

eE5b-I -1 -1 -1 -1 1 1 1 1 -1 -1 -1 -1 1 1 1 1<br />

eE5a-Q -1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 1<br />

eE5b-Q -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1<br />

t’ = t modulo Ts,E5 t’<br />

k according to sE5(t)=exp(jkπ/4) 0 [0,Ts,E5/8[ 5 4 4 3 6 3 1 2 6 5 7 2 7 8 8 1<br />

1 [Ts,E5/8, 2 Ts,E5/8[ 5 4 8 3 2 3 1 2 6 5 7 6 7 4 8 1<br />

2 [2 Ts,E5/8, 3 Ts,E5/8[ 1 4 8 7 2 3 1 2 6 5 7 6 3 4 8 5<br />

3 [3 Ts,E5/8, 4 Ts,E5/8[ 1 8 8 7 2 3 1 6 2 5 7 6 3 4 4 5<br />

4 [4 Ts,E5/8, 5 Ts,E5/8[ 1 8 8 7 2 7 5 6 2 1 3 6 3 4 4 5<br />

5 [5 Ts,E5/8, 6 Ts,E5/8[ 1 8 4 7 6 7 5 6 2 1 3 2 3 8 4 5<br />

6 [6 Ts,E5/8, 7 Ts,E5/8[ 5 8 4 3 6 7 5 6 2 1 3 2 7 8 4 1<br />

7 [7 Ts,E5/8, Ts,E5[ 5 4 4 3 6 7 5 2 6 1 3 2 7 8 8 1<br />

Table 6. Look-up Table for AltBOC Phase States<br />

Figure 6 provides a generic view of the E6 signal generation.<br />

C E6-B<br />

C E6-C<br />

D E6-B<br />

e E6-B<br />

e E6-C<br />

1<br />

� 2<br />

–<br />

Figure 6. Modulation Scheme for the E6 Signal<br />

The E6 signal B and C components are generated according to the following<br />

● e E6-B from the C/NAV navigation data stream D E6-B modulated with the encrypted<br />

ranging code C E6-B<br />

● e E6-C (pilot component) from the ranging code C E6-C<br />

Equation 8 provides their mathematical description.<br />

e<br />

e<br />

E6�<br />

B<br />

E6�C<br />

( t)<br />

�<br />

( t)<br />

�<br />

� �<br />

�<br />

i��<br />

�<br />

� �<br />

�<br />

i��<br />

�<br />

�c ��<br />

E6�C<br />

, i rectT<br />

�<br />

L<br />

C , E 6�C<br />

E 6�C<br />

© European Union 2010<br />

Document subject to terms of use and disclaimers p. ii-iii<br />

OD <strong>SIS</strong> <strong>ICD</strong>, Issue 1, February 2010<br />

s E6<br />

�c ��<br />

E6�<br />

B,<br />

i d E6�<br />

B<br />

�<br />

L<br />

D C �<br />

, 6�<br />

6�<br />

E 6 B C E B<br />

E B<br />

, �� i rectT<br />

�tiTC, E6�<br />

B �<br />

�tiT� C,<br />

E6�C<br />

�<br />

��<br />

�<br />

��<br />

Eq. 8<br />

7

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