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Selection and Testing of Electronic Components for LM

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Fig. 2<br />

Cable groups with the conventional lay-up<br />

Top, 10-palr group<br />

Bottom, 25-palr group<br />

Fig. 3<br />

Cross str<strong>and</strong>ing lines<br />

Top, line lor manufacturing 10-palr groups<br />

Bottom, 25-pair line with drum twister take-up<br />

The principle <strong>of</strong> the cross<br />

str<strong>and</strong>ing technique<br />

Cross str<strong>and</strong>ing differs from the other<br />

str<strong>and</strong>ing methods inasmuch as the<br />

pairs or other elements in question are<br />

assembled to <strong>for</strong>m a group with the<br />

pairs continuously changing their relative<br />

positions during the assembly. This<br />

can be carried out in different ways. The<br />

elements can be assembled in groups<br />

either in accordance with a set pattern,<br />

systematic cross str<strong>and</strong>ing, or at r<strong>and</strong>om,<br />

r<strong>and</strong>omized cross str<strong>and</strong>ing.<br />

Systematic cross str<strong>and</strong>ing has the disadvantage<br />

that two elements meet at<br />

fixed intervals. In high frequency<br />

systems the intervals can correspond to<br />

wavelengths in the frequency range<br />

concerned, which can give rise to a resonance<br />

phenomenon that is difficult to<br />

eliminate. With r<strong>and</strong>omized cross<br />

str<strong>and</strong>ing the elements are crossed at<br />

r<strong>and</strong>om, which eliminates this resonance<br />

phenomenon.<br />

R<strong>and</strong>omized cross str<strong>and</strong>ing<br />

Capacitance unbalance has a predominant<br />

effect on the value <strong>of</strong> the crosstalk,<br />

particularly at low frequencies. If<br />

we consider a conventional, concentric<br />

10 or 25-pair group, fig. 2, it is well<br />

known that unbalances arise mainly between<br />

adjacent pairs, 1—2, 2 — 3, 3 — 4<br />

etc. Unbalances also occur to some extent<br />

between the center pairs <strong>and</strong> the<br />

pairs in the first layer, sometimes also<br />

between pairs in neighbouring layers.<br />

Unbalances between any other com­<br />

binations are almost non-existent. It has<br />

also been established that at least the<br />

highest unbalances increase approximately<br />

in direct proportion to the length<br />

<strong>of</strong> the cable.<br />

In cross-str<strong>and</strong>ed cables the r<strong>and</strong>om<br />

mixing ensures that two pairs are adjacent<br />

only <strong>for</strong> a limited part <strong>of</strong> the cable<br />

length <strong>and</strong> thus the high capacitance<br />

unbalance values are reduced.<br />

The ten pairs in a 10-pair group (fig. 2)<br />

occupy ten different positions. If, <strong>for</strong><br />

example, we consider pair no. 1, wefind<br />

that two other pairs can be considered<br />

as adjacent. Two other positions (in the<br />

centre <strong>of</strong> the group) are slightly further<br />

away but can still be considered as<br />

adjacent. If the positions <strong>of</strong> the pairs in<br />

the group are changed at r<strong>and</strong>om along<br />

the length <strong>of</strong> cable, we find that two<br />

arbitrarily chosen pairs will be adjacent<br />

<strong>for</strong> only about 4/9 <strong>of</strong> the cable length.<br />

The capacitance unbalances contribute<br />

to the crosstalk mainly during this minor<br />

part <strong>of</strong> the cable length.<br />

Cross str<strong>and</strong>ing <strong>of</strong> groups that contain<br />

more than ten pairs gives an even greater<br />

reduction <strong>of</strong> the unbalances. In a<br />

cross-str<strong>and</strong>ed 25-pair group two pairs<br />

are adjacent <strong>for</strong> only 3/24 to 4/24 <strong>of</strong> the<br />

total cable length, which gives a corresponding<br />

reduction <strong>of</strong> the unbalances.<br />

This calculated reduction is<br />

approximate, but the tendency is that a<br />

r<strong>and</strong>om mixing <strong>of</strong> an increasing number<br />

<strong>of</strong> pairs gives a corresponding<br />

reduction <strong>of</strong> the capacity unbalances

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