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Galileo OS SIS ICD.indd - GSA - Europa

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�� t A S rect �t�iT8� � �<br />

s cE5�<br />

S � i TS<br />

E / 8<br />

8<br />

, 5<br />

i��<br />

�<br />

�� t A P rect �t�iT8� � �<br />

s cE5�<br />

P � i TS<br />

E / 8<br />

8<br />

, 5<br />

i��<br />

�<br />

The coeffi cients ASi and APi are according to Table 5.<br />

s,<br />

E5<br />

s,<br />

E5<br />

i 0 1 2 3 4 5 6 7<br />

6 © 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 />

Eq. 5<br />

2 ASi 2 �1 1 -1 � 2 �1<br />

� 2 �1<br />

-1 1 2 �1<br />

2 APi � 2 �1<br />

1 -1 2 �1 2 �1<br />

-1 1 � 2 �1<br />

Table 5. AltBOC Subcarrier Coeffi cients<br />

One period of the sub-carrier functions sc E5-S and sc E5-P is shown in Figure 4.<br />

Figure 4. One Period of the Two Subcarrier Functions Involved in AltBOC Modulation<br />

2.3.1.3. Equivalent Modulation Type<br />

Equivalently, the AltBOC complex baseband signal s E5(t) can be described as an 8-PSK<br />

signal according to Eq. 6. The corresponding phase states are illustrated in Figure 5.<br />

sE 5<br />

�<br />

�<br />

�<br />

�<br />

4<br />

�<br />

�<br />

�<br />

�� t � exp j k��<br />

t with k��<br />

t � �1, 2,<br />

3,<br />

4,<br />

5,<br />

6,<br />

7,<br />

8 �,<br />

Figure 5. 8-PSK Phase-State Diagram of E5 AltBOC Signal<br />

Eq. 6

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