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67.5 dBW/m2; input BO 11 dB; satellite G/T
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As in the previous examples, the data are best presented in tabular form, and values are shown in decilogs. The minus signs in Eqs. (12.50) and (12.55) are attached to the tabulated numbers:
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Decilog values Uplink Saturation flux density [A0] at 6 GHz Input BO Satellite saturation [G/T] [k] [C/N0] from Eq. (12.50) Downlink Satellite [EIRP] Output BO Free-space loss Earth station [G/T] [k] [C/N0] from Eq. (12.55) 26.6 6 196.7 40.7 228.6 93.2 67.5 37 11 11.6 228.6 101.5
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Application of Eq. (12.61) provides the combined [C/N0]: N0 5 10210.15 1 1029.32 5 5.49 3 10210 C C c d 5 210 logs5.49 3 10210d N0 92.6 dBHz
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Again, it is seen from Example 12.19 that the combined C/N0 value is close to the lowest value, which is the downlink value. So far, only thermal and antenna noise has been taken into account in calculating the combined value of C/N0 ratio. Another source of noise to be considered is intermodulation noise, which is discussed in the following section. 12.11 Intermodulation Noise Intermodulation occurs where multiple carriers pass through any device with nonlinear characteristics. In satellite communications systems, this most commonly occurs in the traveling-wave tube HPA aboard the satellite, as described in Sec. 7.7.3. Both amplitude and phase nonlinearities give rise to intermodulation products. As shown in Fig. 7.20, third-order intermodulation products fall on neighboring carrier frequencies, where they result in interference. Where a large number of modulated carriers are present, the intermodulation products are not distinguishable separately but instead appear as a type of noise which is termed intermodulation noise.
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The carrier-to-intermodulation-noise ratio is usually found experimentally, or in some cases it may be determined by computer methods. Once this ratio is known, it can be combined with the carrier-to-thermal-noise ratio by the addition of the reciprocals in the manner described in Sec. 12.10. Denoting the intermodulation term by (C/N 0)IM and bearing in mind that the reciprocals of the C/N0 power ratios (and not the corresponding dB values) must be added, Eq. (12.61) is extended to N0 C a N0 C b
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N0 C
(12.62)
A similar expression applies for noice-to-carrier (N/C) ratios.
Example 12.20
For a satellite circuit the carrier-to-noise ratios are uplink 23 dB, downlink 20 dB, intermodulation 24 dB. Calculate the overall carrier- to-noise ratio in decibels. From Eq. (12.62), N C c C N d 10 log(0.0019) 17.2 dBHz 10
Solution
In order to reduce intermodulation noise, the TWT must be operated in a BO condition as described previously. Figure 12.10 shows how the [C/N0]IM ratio improves as the input BO is increased for a typical TWT. At the same time, increasing the BO decreases both [C/N0]U and [C/N0]D, as shown by Eqs. (12.50) and (12.55). The result is that there is an optimal point where the overall carrier-to-noise ratio is a maximum. The component [C/N0] ratios as functions of the TWT input are sketched in Fig. 12.11. The TWT input in dB is [ ]S [BO]i, and therefore, Eq. (12.50) plots as a straight line. Equation (12.55) reflects the curvature in the TWT characteristic through the output BO, [BO]0, which is not linearly related to the input BO, as shown in Fig. 12.7. The intermodulation curve is not easily predictable, and only the general trend is shown. The overall [C/N0], which is calculated from Eq. (12.62), is also sketched. The optimal operating point is defined by the peak of this curve.
12.12 Inter-Satellite Links Inter-satellite links (ISLs) are radio frequency or optical links that provide a connection between satellites without the need for intermediate
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Intermodulation in a typical TWT. Curve A, 6 carriers; curve B, 12 carriers; curve C, 500 carriers. (From CCIR, 1982b. With permission from the International Telecommunications Union.)
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