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Project Cyclops, A Design... - Department of Earth and Planetary ...

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A02 .... + No (25)<br />

(i C 1<br />

where No is the cable loss at Wo in nepers. Figure 9-16 is a<br />

plot <strong>of</strong> A0t <strong>and</strong> A02 vs. w_/co0. The second system<br />

(A0z) is clearly superior, since the first required wl tobe<br />

extremely small (or very near coo/2) to avoid large phase<br />

errors from dispersion. If we choose the second system<br />

with co0 = 1 GHz <strong>and</strong> cJt = 25 MHz, the frequencies on<br />

the line will be 225 MHz, 250 MHz, <strong>and</strong> 275 MHz. These<br />

are easily picked up by a single coupler <strong>and</strong> easily<br />

separated by filters. The dispersion phase error is then<br />

0.00125 radians/neper or about 0.72 ° for the 14 nepers<br />

<strong>of</strong> a 5 km run <strong>of</strong> 1-5/8 in. diameter cable. This<br />

represents 7.2 ° error at l0 GHz, but since the error will<br />

not vary by more than -+5%, <strong>and</strong> since fixed errors are<br />

calibrated out <strong>of</strong> the system, the performance should be<br />

excellent.<br />

_.3<br />

o<br />

_.2<br />

O<br />

treybJ<br />

.I<br />

32<br />

Figure 9-16.<br />

.I .2 .3 .4 .5<br />

co<br />

I/oJO<br />

Phase error due<br />

to cable dispersion.<br />

the order <strong>of</strong> 3% (30 dB down, VSWR = 1.06) we can<br />

expect rms phase errors <strong>of</strong> about 4XlO -2 radian-that<br />

is, about 0.2 ° at 1 GHz or 2° at 10 GHz. These phase<br />

errors may be subject to considerable variation but are<br />

tolerable in absolute magnitude.<br />

For the reasons given above, the phase compensation<br />

method shown in Figure 9-15 is recommended for the<br />

I-GHz st<strong>and</strong>ard frequency distribution system. There<br />

appears to be no reason not to use the same system for<br />

distributing the 25-MHz st<strong>and</strong>ard frequency. If all<br />

frequencies are scaled down by 40 to 1, the phase errors<br />

from cable dispersion are reduced by 6.3 to 1. Reflection<br />

errors should also reduce by at least the same<br />

amount. Although simple directional couplers designed<br />

for minimum forward loss at 250 MHz will have about<br />

28 dB more forward loss at 6.25 MHz, the line loss<br />

(assuming 30 to 35 dB loss between repeaters) is also<br />

reduced by about the same amount, so the minimum<br />

signal levels obtained from the coupler should be<br />

comparable in both b<strong>and</strong>s. The coupler directivity<br />

should also be comparable. Thus, it appears that we can<br />

use the same cable <strong>and</strong> couplers for both st<strong>and</strong>ard<br />

frequencies without resorting to a carrier system for the<br />

lower frequency.<br />

Figure 9-17 is a block diagram <strong>of</strong> the central st<strong>and</strong>ard<br />

frequency unit. A majority vote <strong>of</strong> the three hydrogen<br />

masers is taken as tire reference frequency <strong>of</strong> 1 GHz. This<br />

frequency is successively divided to obtain tire various<br />

frequencies needed at the central station as well as the<br />

lower <strong>of</strong> the two st<strong>and</strong>ard frequencies to be distributed.<br />

The 1 GHz <strong>and</strong> 25 MHz st<strong>and</strong>ard frequencies are used to<br />

drive several modulator units each <strong>of</strong> which feeds a main<br />

trunk cable in a main tunnel.<br />

The system <strong>of</strong> Figure 9-15 has the further advantage<br />

that the signals on the line are at one quarter rather than<br />

one half the st<strong>and</strong>ard frequency output w0. They are<br />

well removed from the RF b<strong>and</strong>s <strong>of</strong> the receivers. The<br />

line losses are less, so fewer repeaters are needed.<br />

Furthermore line reflections are easier to control at the<br />

lower<br />

frequency.<br />

Although not shown in Figure 9-15, directional<br />

couplers are needed to pick the signals <strong>of</strong>f the line, not<br />

merely to help in separating the signals, but to reduce<br />

reflection errors. Directional couplers not only introduce<br />

less reflection than bridging amplifiers, they<br />

discriminate against single reflections from downstream<br />

discontinuities. With perfect directivity, only double<br />

reflections can cause trouble. Single reflections must<br />

override the front to back ratio <strong>of</strong> the coupler. With<br />

coupler direclivities <strong>of</strong> 40 dB <strong>and</strong> (single) reflections on<br />

LOCAL<br />

DISTRIBUTION<br />

'<br />

4<br />

ii<br />

250MHz<br />

IGHZ<br />

_-_-7<br />

OTHER STD L _r_J<br />

FREQS.<br />

........ J<br />

Figure 9-17.<br />

;IC ]<br />

Frequency<br />

I GHZ<br />

25 MHz<br />

IP<br />

P<br />

st<strong>and</strong>ard.<br />

TO<br />

MODULATOR<br />

UNITS<br />

101

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