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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.

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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

In this chapter you have seen that: RobotBASIC contests can be motivational and how they can be used to increase participation in a club or classroom. Contests can be designed to appeal to contestants of various skills and abilities. The types of contests and scoring methods are limited only by the imagination. Contests can emphasize the utility of mathematics and logical thinking. Contest organizers and contestants can save time, effort, and expense when participating in robotic competitions using RobotBASIC.

lim [ 1/g(x)]

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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among the participants. Explore the methods discussed in Sec. 18.4 to distribute contest environments to the participants. 4. Design a contest where the rules of judging are based on several criteria. Discuss how you chose the weights to give each criterion.

The number of rows in H is equal to the number of parity bits, n k, and the number of columns is n, that is the parity check matrix is a (n k, n) matrix. A fundamental property of these code matrices is that GH

lim g(x + h)

(11.6)

obotBASIC provides a platform that helps teachers create a building block approach to teaching many subjects:

When a codeword is received it can be verified as being correct on multiplying it by HT. The product cHT should be equal to zero. This follows since c dG and therefore cHT dGHT 0. If a result other than zero is obtained, then an error has been detected. In general terms, the product cHT gives what is termed the syndrome and denoting this by s: s cHT (11.7)

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A received codeword can be represented by the transmitted codeword plus a possible error vector. For example if the transmitted codeword is [1010010] and the received codeword is [1010110] the error is in the fifth bit position from the left and this can be written as [1010110] [1010010] [0000100]

Dx g(x)

More generally, if cR is the received codeword, cT the transmitted codeword and e the error vector then, with modulo-2 addition cR cT e (11.8)

In this chapter we propose that RobotBASIC can serve as a tool for teachers to provide an enjoyable and effective learning experience for students.

But as shown earlier, the product cHT, which is cTHT in this notation, is zero, hence, s eHT (11.9)

[by Property VI of limits and differentiability of g]

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