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Go to a sub-part of the program, return from there, and continue execution from where the program branched off.

(13.6)

1 resulting sum is said to be obtained by the midpoint rule. Use the midpoint rule to approximate 0 x 2 dx, using a division into ve equal subintervals, and compare with the exact result obtained by the fundamental theorem.

Flow-control statements are not case sensitive, so While, WHILE, and while a re the same. Here is a simple program that shows three different ow-control structures:

For the range of satellite orbital spacings presently in use, it is this sidelobe gain function that determines the interference levels.

Example 13.4 Determine the degradation in the downlink [C/I ] ratio when satel-

for I = 1 to 5 //forward the robot 5 pixels rForward 1 next Input Enter a number ,N if N < 5 then print too small if N > 30 then print too large while N > 0 // make the robot turn N times rTurn 1 N = N-1 wend End

CHAP. 31]

lite orbital spacing is reduced from 4 to 2 , all other factors remaining unchanged. FCC antenna characteristics may be assumed.

Refer to Sec. C.6 for detailed use of all the ow-control structures provided in RobotBASIC. Subroutines in RobotBASIC are created by surrounding a group of statements with a label and the command Return like this:

The [C/I]D will be degraded directly by this amount. Alternatively, from Fig. 13.4, [G (2 )] [G (4 )] 21.4 13.9 7.5 dB

It should be noted that no simple relationship can be given for calculating the effect of reduced orbital spacing on the overall [C/I ]. The separate uplink and downlink values must be calculated and combined as described in Sec. 13.2.3. Other telecommunications authorities specify antenna characteristics that differ from the FCC specifications (see CCIR Rep. 391 3, 1978).

31.35 (Simpson s Rule) If we divide [a, b] into n equal subintervals by means of the points a = x0 , x1 , x2 , , xn = b, and n is b even, then the approximation to a f (x) dx given by b a ( f (x0 ) + 4f (x1 ) + 2f (x2 ) + 4f (x3 ) + 2f (x4 ) + + 4f (xn 1 ) + f (xn )) 3n is said to be obtained by Simpson s rule. Aside from the rst and last terms, the coef cients consist of alternating 4 s and 2 s. (The underlying idea is to use parabolas as approximating arcs instead of line segments as in the trapezoidal rule.)2 Apply x Simpson s rule to approximate 0 sin x dx, with n = 4, and compare the result with the exact answer obtained by the fundamental theorem.

You can then, from anywhere in your program, branch off to the subroutine. The subroutine s statements will be executed and when Return is executed the program

In the preceding section, the carrier-to-interference ratio at the receiver input is determined. However, the amount of interference reaching the detector will depend on the amount of frequency overlap between the interfering spectrum and the wanted channel passband. Two situations can arise, as shown in Fig. 13.5. In Fig. 13.5a, partial overlap of the interfering signal spectra with the wanted passband is shown. The fractional interference is given as the ratio of the shaded area to the total area under the interference spectrum curve. This is denoted by Q (Sharp, 1983) or in decibels as [Q]. Where partial overlap occurs, Q is less than unity or [Q] 0 dB. Where the interfering spectrum coincides with the wanted passband, [Q] 0 dB. Evaluation of Q usually has to be carried out by computer. The second situation, illustrated in Fig. 13.5b, is where multiple interfering carriers are present within the wanted passband, such as with single carrier per channel (SCPC) operation discussed in Sec. 14.5. Here, Q represents the sum of the interfering carrier powers within the passband, and [Q] 0 dB. In the FCC report FCC/OST R83 2 (Sharp, 1983), Q values are computed for a wide range of interfering and wanted carrier combinations.

ow will go back to the line right after the line that called the subroutine. Here is an example:

Power spectral density curves for (a) wideband interfering signal and (b) multiple interfering carriers.