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For the uplink, [C/I] 27.53 dB gives (I/C)U 0.001766, and for the downlink, [C/I] 23.53 dB gives (I/C)D 0.004436. Combining these according to Eq. (13.5) gives I a b C ant 0.001766 0.006202 Hence c C I d
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10 log 0.006202 20.07 dB
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13.2.4 Antenna gain function
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The antenna radiation pattern can be divided into three regions: the mainlobe region, the sidelobe region, and the transition region between the two. For interference calculations, the fine detail of the antenna pattern is not required, and an envelope curve is used instead. Figure 13.4 shows a sketch of the envelope pattern used by the FCC. The width of the mainlobe and transition region depend on the ratio of the antenna diameter to the operating wavelength, and Fig. 13.4 is intended to show only the general shape. The sidelobe gain function in decibels is defined for different ranges of . Specifying in degrees, the
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Figure 13.4 Earth-station antenna gain pattern used in FCC/OST R83-2, revised Nov. 30, 1984. (Courtesy of Sharp, 1984b.)
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sidelobe gain function can be written as follows: 29 25 log 8 32 25 log 10 1 7 9.2 48 7 9.2 48 180
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(13.6)
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For the range of satellite orbital spacings presently in use, it is this sidelobe gain function that determines the interference levels.
Example 13.4 Determine the degradation in the downlink [C/I ] ratio when satel-
lite orbital spacing is reduced from 4 to 2 , all other factors remaining unchanged. FCC antenna characteristics may be assumed.
Solution
The decibel increase in interference will be (29 25 log 2) (29 25 log 4) 25 log 2 7.5 dB
The [C/I]D will be degraded directly by this amount. Alternatively, from Fig. 13.4, [G (2 )] [G (4 )] 21.4 13.9 7.5 dB
Interference
It should be noted that no simple relationship can be given for calculating the effect of reduced orbital spacing on the overall [C/I ]. The separate uplink and downlink values must be calculated and combined as described in Sec. 13.2.3. Other telecommunications authorities specify antenna characteristics that differ from the FCC specifications (see CCIR Rep. 391 3, 1978).
13.2.5 Passband interference
In the preceding section, the carrier-to-interference ratio at the receiver input is determined. However, the amount of interference reaching the detector will depend on the amount of frequency overlap between the interfering spectrum and the wanted channel passband. Two situations can arise, as shown in Fig. 13.5. In Fig. 13.5a, partial overlap of the interfering signal spectra with the wanted passband is shown. The fractional interference is given as the ratio of the shaded area to the total area under the interference spectrum curve. This is denoted by Q (Sharp, 1983) or in decibels as [Q]. Where partial overlap occurs, Q is less than unity or [Q] 0 dB. Where the interfering spectrum coincides with the wanted passband, [Q] 0 dB. Evaluation of Q usually has to be carried out by computer. The second situation, illustrated in Fig. 13.5b, is where multiple interfering carriers are present within the wanted passband, such as with single carrier per channel (SCPC) operation discussed in Sec. 14.5. Here, Q represents the sum of the interfering carrier powers within the passband, and [Q] 0 dB. In the FCC report FCC/OST R83 2 (Sharp, 1983), Q values are computed for a wide range of interfering and wanted carrier combinations.
Power spectral density curves for (a) wideband interfering signal and (b) multiple interfering carriers.
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Typical [Q] values obtained from the FCC report are as follows: with the wanted carrier a TV/FM signal and the interfering carrier a similar TV/FM signal, [Q] 0 dB; with SCPC/PSK interfering carriers, [Q] 27.92 dB; and with the interfering carrier a wideband digital-type signal, [Q] 3.36 dB. The passband [C/I] ratio is calculated using c C d I pb c C d I ant [Q] (13.7)
The positions of these ratios in the receiver chain are illustrated in Fig. 13.6, where it will be seen that both [C/I ]ant and [C/I ]pb are predetection ratios, measured at rf or IF. Interference also can be measured in terms of the postdetector output, shown as [S/I ] in Fig. 13.6, and this is discussed in the following section.
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