Page 390 - Satellite Communications, Fourth Edition
P. 390

370  Chapter Twelve

                              12.7.2 Input backoff
                              As described in Sec. 12.7.3, where a number of carriers are present simul-
                              taneously in a TWTA, the operating point must be backed off to a linear
                              portion of the transfer characteristic to reduce the effects of intermodu-
                              lation distortion. Such multiple carrier operation occurs with frequency-
                              division multiple access (FDMA), which is described in Chap. 14. The
                              point to be made here is that backoff (BO) must be allowed for in the link-
                              budget calculations.
                                Suppose that the saturation flux density for single-carrier operation is
                              known. Input BO will be specified for multiple-carrier operation, referred
                              to the single-carrier saturation level. The earth-station EIRP will have
                              to be reduced by the specified BO, resulting in an uplink value of

                                                 [EIRP] U    [EIRP ]   [BO] i           (12.49)
                                                                 S U
                                Although some control of the input to the transponder power ampli-
                              fier is possible through the ground TT&C station, as described in Sec.
                              12.7.3, input BO is normally achieved through reduction of the [EIRP]
                              of the earth stations actually accessing the transponder.
                                Equations (12.48) and (12.49) may now be substituted in Eq. (12.39)
                              to give

                                      c  C  d    [  ]   [A ]   [BO]   c  G d    [k]   [RFL]  (12.50)
                                                 S
                                                        0
                                                                i
                                       N 0 U                         T U

                                Example 12.11  An uplink at 14 GHz requires a saturation flux density of
                                                                                             1
                                           2
                                 91.4 dBW/m and an input BO of 11 dB. The satellite [G/T] is  6.7 dBK ,
                                and receiver feeder losses amount to 0.6 dB. Calculate the carrier-to-noise
                                density ratio.
                                Solution As in Example 12.9, the calculations are  best carried out in tabular
                                form.
                                                2
                                  [A 0 ]   44.37 dBm for a frequency of 14 GHz is calculated by using Eq. (12.44)
                                as in Example 12.10.



                              Quantity                Decilogs
                              Saturation flux density    91.4
                              [A 0 ] at 14 GHz          44.4
                              Input BO                  11.0
                              Satellite saturation [G/T ]    6.7
                               [k]                     228.6
                              Receiver feeder loss       0.6
                              Total                     74.5
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