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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

[by algebra:

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

This method of comparing entries can be more subjective rather than objective, but with a proper set of standards the subjectivity can be minimized However, the eld of robotics and programming is as much an art as it is science and, like any art contest, the contestants creativity and style can be a valid subject for judgment..

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.

Considerable time, effort, and expense are typically required by the contest organizers to create a challenging and suitable contest environment (mazes for instance). Also the contestants themselves need to construct similar environments in the process of creating and testing their robots. Organizers often have to post a complex description of the environment that will be used in the contest. These speci cations have to be very clear, precise, and understandable. On the day of the contest, if contestants have misinterpreted these speci cations, their robots and/or code may require a considerable amount of modi cation to adapt to the unanticipated environment. RobotBASIC allows many methods for contest organizers to distribute very precise speci cations of their intended contest environment:

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

multiply top and bottom by g(x)g(x + h)] [by algebra] [by Property IV of limits]

(12.62)

can then be used by a contestant with the command ReadScr to create an environment similar to (or the same as) the intended environment. 3. Files created with the MWrite command can be given to contestants who then use the MRead command to create an array that will be used to recreate (using mPolygon) the contest environment. Contestants write their code to use the distributed les and judges can run these programs using whatever le they desire to test and judge the entries. Using this method, judges may wish to test the entries on various les that simulate environments of varying dif culty or complexity, and thus can judge winners on various levels.

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

1/g(x) h 0 g(x + h)

18.5 Summary