Page 425 - Satellite Communications, Fourth Edition
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Interference  405

                              13.2.3 Combined [C/I] due to interference
                              on both uplink and downlink
                              Interference may be considered as a form of noise, and assuming that
                              the interference sources are statistically independent, the interference
                              powers may be added directly to give the total interference at receiver
                              B. The uplink and the downlink ratios are combined in exactly the same
                              manner described in Sec. 12.10 for noise, resulting in

                                                                      I
                                                             I
                                                     I
                                                   a b     a b   a b                     (13.5)
                                                    C ant    C U     C D
                              Here, power ratios must be used, not decibels, and the subscript “ant”
                              denotes the combined ratio at the output of station  B  receiving
                              antenna.

                                Example 13.3 Using the uplink and downlink values of [C/I] determined in
                                Examples 13.1 and 13.2, find the overall ratio [C/I] ant .
                                Solution 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    0.001766   0.004436
                                                   C  ant
                                                         0.006202

                                Hence

                                                    c  C d    10 log 0.006202
                                                     I  ant
                                                           20.07 dB





                              13.2.4 Antenna gain function
                              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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