US2243851A - Wire line transmission - Google Patents

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US2243851A
US2243851A US339038A US33903840A US2243851A US 2243851 A US2243851 A US 2243851A US 339038 A US339038 A US 339038A US 33903840 A US33903840 A US 33903840A US 2243851 A US2243851 A US 2243851A
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cross
talk
coaxial
cable
conductor
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Richard P Booth
Todes M Odarenko
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AT&T Corp
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Bell Telephone Laboratories Inc
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B3/00Line transmission systems
    • H04B3/02Details
    • H04B3/32Reducing cross-talk, e.g. by compensating

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  • the present invention relates to multicircuit cables for communication purposes andmore particularly to the design of cables and cable sys tems in relation to cross-interference effects between shielded signaling circuits.
  • n has been found heretofore met in a camek comprising a plurality 'of coaxial conductor circuit pairs, there exists, despite the geometrical and electrical symmetry of the coaxial conductor circuit and the excellent shielding properties of the outer conductor thereof. a distributed coupling between the pairs that gives rise to crossinterference. lIt can be shown mathematically that even for two adjacent coaxial circuits in free space and whether or not the circuits are in contact or insulated from each other, cross-interference will take place, the magnitude of the interference currents depending on several factors such as the physical characteristics of the conductors and of the intervening space, if any, the frequency of the signals and the length of the circuits.
  • the cross-.talkf currents induced from the disturbing circuit to the disturbed circuit tend to be propagated to both terminals of the latter, although in practice unidirectional devices, such as repeaters in the disturbed circuit, will preclude transmission of the cross-talk except to the receiving end of the line.
  • the cross-talk appears at'the terminal of the cable at which the disturbing signals are delivered to the lin,the cross-talk isv known as near-end cross-talk, whereas if the cross-talk appears at the remote end of the cable it is called far-end cross-talk.
  • the magnitude of the cross-interference appearing at the receiving end of the disturbed circuit is a limiting factor in the design of cable systems and it is essential that by one means or another the distributed coupling giving rise to it be kept at or below a predetermined value usually expressed in terms of the ratio of current in the disturbed and disturbing circuits at specified transmission levels.
  • the effective cross-talk coupling is greater the longer the cable system and in general, too, it can be reduced by increasing the thickness of the outer conductors of the coaxial circuits or otherwise increasing the shielding of those circuits.
  • cross-talk is a limiting factor in cable comprising a ⁇ plurality of coaxial conductor pairs be able to predict accurately what the total cross-talk will be in a given projected cable system. Otherwise it may be found on completion of the cable that the total'cross-talk is at an intolerably high level so that the system is practically inoperative, or it may be found that the coaxial outer conductors have been made unnecessarily thick and heavily' shielded and, therefore, unneccesarily costly. In a cable that is yof optimum design from a cross-talk standpoint, the
  • cross-talk coupling is neither excessively high nor unnecessarily low but at a predetermined tolerable value. Ina very real and practical sense, therefore, there is for any given system an optimum cross-talk coupling.
  • interaction cross-tail can be controlled by proper design so that it tends to give optimum neutralization of the cross-talk that would exist between thecoaxialp'airsinfreespace.
  • One of the objects of the present invention is to provide a multicircuit coaxial conductor cable in whichtlie various cable parameters are so interrelated that the cross-talk coupling is of optimum value.
  • Another object is to provide a cable in which a minimum of shielding is employed on the individual coaxial pairs consistent with a prede-- termined over-all cross-talk.
  • a further object of the invention isA to provide a cable comprising a plurality of coaxial conductor pairs in which conducting elements of the cable are so configured and arranged relative to each other that the cross-talk coupling between the coaxial pairs is minimum.
  • Still another object is to preserve and enhance the cross-talk neutralizing effect of a tertiary circuit in practical cable systems where its effectiveness would be impaired by following present practice.
  • a cable comprising a plurality of coaxial conductor pairs, each pair having copper surfaces for the flow of signaling currentsand the outer conductors of the pairs having an outer surface impedance that is high as compared with that of a copper conductor, the outer conductors being arranged together with one or more low impedance conductors and/or an external lead sheath, symmetrically disposed in relation to and insulated from the coaxial pairs, the thickness of the outer conductors of the coaxial conductor pairs or more generally the shielding efficiency of the outer conductors being of a predetermined optimum value fixed by over-all system cross-talk.
  • Subsidiary features of the invention relate to the treatment of the tertiary circuits at repeater and transposition points.
  • Fig. 1 illustrates a repeatered cable system in which far-end cross-talk tends to appear
  • Figs. 2 and b are diagrams illustrating induction effects occurring in multipair coaxial cables
  • Figs. 4 and 5 are cross-sectional. views of cables in accordance with the invention.
  • Fig. 6 illustrates how interaction cross-tall: may be measured
  • Fig. '7 represents a cable system in which tertiary conductors are blocked at repeater and transposition points.
  • Z. is the surface transfer impedance per unit length between the inner and outer surfaces of the outer coaxial conductor
  • 'I'he current i3 flows along the outer conductor of the disturbed circuit 2 and .produces a voltage on the inner surface of that conductor which in turn gives rise to a component of cross-talk in the disturbed circuit.
  • each elemental length of the disturbed circuit is also affected by the current is arising in each other elemental length inasmuch as the latter current is propagated through the intermediate circuit.
  • an intermediate or tertiary circuit is formed, as indicated diagrammatically'in Fig. 3, comprising the sheath as one side and the outer conductors of the coaxial pairs in,parallel as the other.
  • the voltage e1 effective in-an elemental length d1 gives rise to a current i4 that flows in this intermediate circuit and that is propagated therethrough.
  • the magnitude of this current is The cross-talk in such vwhe-c z. is the producing vwhere 'ys tiary circuit of 9,248,851 characteristic impedance of theI intermediate circuit.
  • any conductor symmetrically disposed with respect to the coaxial pairs would function in'the same manner as the sheath, hence the tertiary circuit represented in Fig. V3 may be understood as comprising either the sheath or such other insulated conductors as may be present or, as a good approximation, both in parallel and lumped together as circuit member 3.
  • the second term in the bracket represents the contribution of the tersheath and it is seen tiary circuit comprising the tobe opposite in sign to-the first term which represents the cross-talk which would exist in to length, the total is also proportional to length.
  • Fig. 4 shows in cross-section a typical embodiment of the subject-matter last discussed comprking two coaxial conductor units l, 2, eachof the umts having an outer conductor that is made up of a tubular copper portion l and an overlayerlofironorsteel.
  • Theportionl maycomprises strip f copper rolled into tubular form .and provided with a longitudinal seam as disclosed fully in Seeley Patent 2,126,290, August 9, 19.38.
  • the ferrous portion l may comprise an iron or steel tape wrapped helieally about the copper tube I or two such wrappins so that one overlies Enclosing both coaxial units and in intimate conductive Vcontact with the respective outer conductors thereof is a as the sheath is in continuous contact with the outer conductors it is not essential that the latter contact each other directly.
  • the sheath and any other conductors .external of the coaxial pairs are insulated from the coaxial outer conductors, the total cross-talk may be obtained by if Zn and 4Z were equal.
  • the outer conductors of the coaxial comprise respective wrappings of iron or steel tapes or if they are otherwise arranged to have high external surface impedance. In such case, neglecting external induetance and prox- 'imity eects, Zas would be equal to twice the surface.
  • Equation 8 For electrically short lengths, the second and third terms of Equation 8 combine to cancel the second half of the iirst term:
  • Equation 9 holds the first term is still proportional to length, but it is important to observe in this -clase that it consist of the difference of two components, one component representing the oross-talk'that would be present in the absence of a tertiary circuit, and the second representing one part of the cross-talk component introduced by the presence of a tertiary circuit.
  • Equation ll can be approximately realized in practice by overlaying the copper portion of each outer coaxial conductor with a sheath or wrapping of ferrous metal in the manner described above.
  • Fig. 5 shows in cross-section an illustrative embodiment comprising two metallically contacting coaxial units I, 2, each as in Fig. 4, enclosed by a lead sheath 3 and insulated therefrom by a paper, fabric or other insulating inner liner 6.
  • the cable may have also disposed in the interstices between the coaxial pairs and the sheath and symmetrically related to the coaxial pairs, two quads 1 each comprising four wire conductors insulated from each other and from the coaxial pairs.
  • the circuits provided by the quads may be metallically continuous from one end of the cablen system to the other or individual repeaters m y be inserted therein at a few of the signal repeater stations. These circuits may be used for low frequency signaling or control purposes.
  • Equation 8 permits calculation of the total erom-talk that will be given multipair coaxial cable of the kind described and of any 'given length, it is not a solution of the immediate problem, viz., ascertaining the optimum proportions for a given cable of given length. More specifically the problem is to ascertain the optimum value for the surface transfer impedance of the coaxial outer conductors and to ascertain what is the minimum shielding effect of the outer conductors consistent with tolerable over-all cross-talk whereby the cross-talk requirements can be met with a minimum expenditure of material for the outer conductor and its high impedance over-layer.
  • Equation 8 can be determined by mathematical procedure known to those skilled in the art.
  • the data required for the next step in the practical design procedure are obtained by measurements on a short sample of cable of substantially the configuration desired, the data obtained from these measurements being then inserted in Equation 8 to permit calculationof the over-all cross-talk in a cable of the desired length and having the cross-sectional proportions of the sample tested. Thereafter, by calculation, the degree of change in the surface transfer impedance or Ithe change in thickness of the outer conductor required to bring the total cross-talk to the optimum value is ascertained. T'hus by measurements made on a few feet of cable of the approximate proportions desired a transcontinental cable system, for example, can be constructed so that the ment is met without waste of material.
  • an electrically short length of cable of approximately the desired cross-sectional configuration and proportion is first assembled.
  • the cable configuration is as shown in Fig. 5.
  • measurements are made of the characteristic impedance of either coaxial unit, the characteristic impedance of the tertiary circuit comprising the two coaxial outer conductors on the one side and quads l and sheath 8 on the other, and therespective propagation constants of the tertiary circuit and of either coaxial unit.
  • the tertiary circuit terminated at each end in its characteristic impedance as measured, the far-end cross-talk betweenthe two coaxial circuits is measured in both phase and magnitude. From these data, the phase and magnitude of the first component of term Z in Equation 8 can be computed by use of Equation 10.
  • Equation 8 To obtain the necessary data for computation of the other termsin Equation 8, an interaction cross-talk test is made. For this test two short lengths are Joined, as shown schematically in Fig. 6, with all the conductors comprising the tertiary circuit as above defined continuous at the junction and with the tertiary circuit terminated at each end in the measured characteristic impedance. 'I'he coaxial circuits are interrupted at the junction and the disturbing and "disturbed" sections are terminated at their proximate ends in characteristic impedance and at their remote ends connected to the measuring apparatus as illustrated.
  • the interaction cross-talk F4 for this case 1s YZal F 4Z., so that if itis measured in phase and magnitude the necessary data for the rem ning terms of Equation 8 are calculable.
  • Equation 8 Knowing now the values of the several parameters in Equation 8, that equwtion can be solved to determine what the over-all cross-talk would be in a cable of any given length l having the and electrical charthe total cross-talk to Ithe predetermined optimum value.
  • Zai is th surface transfer impedance of the copper portion of t-he outer conductor
  • Z. is the surface transfer impedance of the ferrous over-layer
  • Zh is the lsurface self-impedance of the outer surface of the copper portion
  • Zu.: is the surface self-impedance of the inner surface of the ferrous over-layer.
  • Equation 14 is applicable to integral copper tubes andwi'thahihdegreeofaccuracytoalongitudinalseamcoppertubeofthekinddisclosedin the Seeley patent, supra. With the aid of the last equation, any indicated percentage change in Zuor Z. canbetranslatedaccuratelyintoa corresponding equivalent change in t, the thickness of the outer conductor. Changes in thicknesstwill alsoaffectzmbutsincemiscontrolling due to the ferrous material, this change may be neglected. Since the inner diameter of an outer conductor is usually iixed by transmission requirements, changes in thickness t will affect, to some extent, the outside diameter.
  • the frequency f is the frequency at which cross-talk is most severe, viz.. the frequency at the lower end of the signaling band.
  • Equation 15 reduces to which is the same as for far-end cross-talk in ofcomse.repeatersareinsertedinallcfthese arateaccountistakenofthemannerm'which cross-talksmnslminsuccsiverepeatersections.
  • ⁇ Account may be taken of the short-circuit termination of the tertiary circuit-if greater accuracy is desired hy employing the following equation in lieu of Equation 16.
  • the tertiary circuit If, as would ordinarily be the case, all or part 'of the tertiary circuit is continuous past the transposition point', it will carry tertiary circuit currents from one side of the transposition to the other and thereby carry interaction cross-talk into the next section, thus nullifying in part the eifectivene of the transposition.
  • the interaction cross-talk between transposed sections of cable is suppressed by blocking the ow of tertiary circuit currents at the transposition point.
  • the blocking means may constitute a virtual short circuit or open circuit in the tertiary for the currents of signal frequency which ilow in the coaxial circuits but itmaybesoarrangedasnottointerferesubstantialiy with the transmission of low frequency signal and control currents through the elements of the tertiary circuit constituted by quads 1, for example, as in Fig. 5.
  • the blocking of the tertiary circuit serves also to suppress undesirable local coupling between virtually the input and output circuits of the several repeaters.
  • Fig. 7 illustrates a cable system in which the tertiary circuit is blocked for signal frequencies at mid-repeater transposition points and at repeater points.
  • Coaxial circuit I is represented as being electrically transposed midway betweenl successive repeater points while throughout the same section coaxial circuit 2 is left untransposed.
  • the sheath 3 is effectively vconnected to the outer conductors of the coaxial circuit; ⁇ a metallic connection can be used for this purpose.
  • Any other component of the tertiary circuit such as the quads or wire conductors represented by conductors 'I in Fig.
  • sheath 7 may likewise be effectively connected in the same manner as sheath 3, but if their usefulness for low frequency signaling and control purposes is to be preserved, they may be' blocked to signal frequencies by frequency selective reactances such as shunting condensers 8, or series inductors 9 or by a combination of both arranged as a low-pass filter. With the tertiary circuit thus suppressed, interaction cross-talk between successive transposition sections is likewise suppressed and the full benents of the transposition may be realized.
  • frequency selective reactances such as shunting condensers 8, or series inductors 9
  • a multicircuit signaling system comprising a plurality of sources of different signals to be transmitted, a cable for the long distance transmission of said signals, said cable comprising a plurality of coaxial conductor pairs, each of said pairs comprising an inner conductor and a hollow outer conductor insulated from each other,
  • each of said outer conductors comprising an'inner layer of high conductivity and a contiguous over-layer such that the external surface self-impedance of said over-layer is many times as large as the external surface selfimpedance of said, inner layer
  • said cable comprising also a conductor external of said pairs and symmetrically related thereto, said external conductor having a resistance low compared with that of said over-layers, and the surface transfer impedance of said outer conductors with their respective over-layers being so proportioned that the predominant cross-interference coupling is of optimum value.
  • a cable system for the long distance transmission of high frequency signals over a plurality of circuits comprising a plurality of coaxial conductor pairs for the transmission of said signals, each of said pairs comprising an inner conductor and a hollow outer conductor-insulated from each other, each of said outer conductors having an inner layer of high conductivity and a contiguous overlayer such that the external surface selfimpedance of said over-layer is many times as large as the external surface self-impedance of said inner layer, said cable comprising also a conductor external of and symmetrically di posed with relation to said coaxial conduc r pairs and insulated therefrom whereby a ter,- tiary circuit is provided comprising said external conductor and said over-layers, the surface transfer impedance of said outer conductors with their respective over-layers being so related to the propagation characteristics of said tertiary circuit that the predominant cross-interference coupling between said coaxial conductor pairs is of optimum value.
  • a cable system for the long distance transmission of different high frequency signals over respective circuits comprising a plurality of coaxial conductor pairs for the transmission ofsaid signals, each of said pairs comprising an inner conductor and a hollow outer conductor insulated from each other,
  • each of said outer conductors having an inner 4 layer of high conductivity comparable with that of copper and an over-layer of such material that the external surface self-impedance of said over-layer is many times as large as the external surface self-impedance of said inner layer
  • said cable comprising also a conductor external of and symmetrically disposed in relation to said coaxial conductor pairs and substantially coextensive therewith, said external conductor being disposed in substantially continuous electrical contact with said over-layers and having a resistance longitudinally of said cable that is low compared 'with that of said over-layers, whereby the direct cross-talk between said coaxial pairs is substantially neutralized by the interaction cross-talk through said tertiary circuit.
  • a combination consistent with claim 5 including a metallic sheath enclosing all of said l.coaxial pairs, saidsheath being in substantially continuous mechanical contact with aplurality of said over-layers.
  • a cable system for the long distance transmission of high frequency signals over a plurality of circuits comprising a plurality of coaxial conductor pairs for the transmission of said signals, each of said pairs comprising an inner conductor and a hollow outer conductor insulated from each other, said cable comprising also a conductor external of and symmetrically related to said coaxial conductor pairs and insulated therefrom whereby a tertiary circuit is provided comprising said external conductor and said outer conductors, means at a point along said cable for electrically transposing one of said pairs relative to another, and means at said point blocking the flow of tertiary circuit currents past said transposition y point.

Description

FIG. 3
Zin- '(4 oA JJ R. BOOTH HAL WIRE LINE TRANSMISSION Filed June 6. 1940 JH F/G.2 e
fJune`3, 1941. f'
, FIG. 4
- R. P BOOTH NVE/mesma ooAR/vko ATTORNEY Puentes June 3, 19.41.
` WIRE LINE TRANSMISSION Richard P. Booth. West Orange, N. .Land Todos M. odarenko. to Bell New York. N. Y., Telephone In York. N. Y., a corporation of New York New muessen June s, am. serial No. :sans y (c1. 11s-1s) 9 Gains.
The present invention relates to multicircuit cables for communication purposes andmore particularly to the design of cables and cable sys tems in relation to cross-interference effects between shielded signaling circuits.
n has been found heretofore met in a camek comprising a plurality 'of coaxial conductor circuit pairs, there exists, despite the geometrical and electrical symmetry of the coaxial conductor circuit and the excellent shielding properties of the outer conductor thereof. a distributed coupling between the pairs that gives rise to crossinterference. lIt can be shown mathematically that even for two adjacent coaxial circuits in free space and whether or not the circuits are in contact or insulated from each other, cross-interference will take place, the magnitude of the interference currents depending on several factors such as the physical characteristics of the conductors and of the intervening space, if any, the frequency of the signals and the length of the circuits. In general, the cross-.talkf currents induced from the disturbing circuit to the disturbed circuit tend to be propagated to both terminals of the latter, although in practice unidirectional devices, such as repeaters in the disturbed circuit, will preclude transmission of the cross-talk except to the receiving end of the line. It the cross-talk appears at'the terminal of the cable at which the disturbing signals are delivered to the lin,the cross-talk isv known as near-end cross-talk, whereas if the cross-talk appears at the remote end of the cable it is called far-end cross-talk. The magnitude of the cross-interference appearing at the receiving end of the disturbed circuit is a limiting factor in the design of cable systems and it is essential that by one means or another the distributed coupling giving rise to it be kept at or below a predetermined value usually expressed in terms of the ratio of current in the disturbed and disturbing circuits at specified transmission levels. In general, the effective cross-talk coupling is greater the longer the cable system and in general, too, it can be reduced by increasing the thickness of the outer conductors of the coaxial circuits or otherwise increasing the shielding of those circuits.
Inasmuch as cross-talk is a limiting factor in cable comprising a `plurality of coaxial conductor pairs be able to predict accurately what the total cross-talk will be in a given projected cable system. Otherwise it may be found on completion of the cable that the total'cross-talk is at an intolerably high level so that the system is practically inoperative, or it may be found that the coaxial outer conductors have been made unnecessarily thick and heavily' shielded and, therefore, unneccesarily costly. In a cable that is yof optimum design from a cross-talk standpoint, the
cross-talk coupling is neither excessively high nor unnecessarily low but at a predetermined tolerable value. Ina very real and practical sense, therefore, there is for any given system an optimum cross-talk coupling.
Unexpected diilloulty was encountered in practice heretofore in the design of multicircuit coaxial cables, however, in that the cross-talk appeared to be unpredictable, and in particular in that the total cross-talk did not vary with the length oflcable in any comprehensible manner. We have found that the erratic cross-talk behavior heretofore experienced is due to the presence of auxiliary coupling circuits or tertiary circuits that are present in cables comprising a plurality of coaxial conductor pairs and which serve to receive cross-talk from a disturbing circuit and to distribute that cross-talk to the disturbed circuit throughout' its length. The crostalk component due to the tertiary circuits we denominate interaction cross-talk. We have discovered also the various cable parameters afthe design and operation of multicircuit cables, it
is of paramount importance that one designing a fecting the interaction cross-talk and the laws governing the relation of these parameters to the total cross-talk. We have found further that the interaction cross-tail: can be controlled by proper design so that it tends to give optimum neutralization of the cross-talk that would exist between thecoaxialp'airsinfreespace.
One of the objects of the present invention is to provide a multicircuit coaxial conductor cable in whichtlie various cable parameters are so interrelated that the cross-talk coupling is of optimum value.
Another object is to provide a cable in which a minimum of shielding is employed on the individual coaxial pairs consistent with a prede-- termined over-all cross-talk.
A further object of the invention isA to provide a cable comprising a plurality of coaxial conductor pairs in which conducting elements of the cable are so configured and arranged relative to each other that the cross-talk coupling between the coaxial pairs is minimum.
Still another object is to preserve and enhance the cross-talk neutralizing effect of a tertiary circuit in practical cable systems where its effectiveness would be impaired by following present practice.
In the preferred embodiments of the present invention a cable is provided comprising a plurality of coaxial conductor pairs, each pair having copper surfaces for the flow of signaling currentsand the outer conductors of the pairs having an outer surface impedance that is high as compared with that of a copper conductor, the outer conductors being arranged together with one or more low impedance conductors and/or an external lead sheath, symmetrically disposed in relation to and insulated from the coaxial pairs, the thickness of the outer conductors of the coaxial conductor pairs or more generally the shielding efficiency of the outer conductors being of a predetermined optimum value fixed by over-all system cross-talk.
Subsidiary features of the invention relate to the treatment of the tertiary circuits at repeater and transposition points.
The nature of the present invention and its various objects, features and advantages will appear more fully in the following discussion and description of preferred embodiments and exposition of the principles underlying their design. Reference will be made to the accompanying drawing, in which:
Fig. 1 illustrates a repeatered cable system in which far-end cross-talk tends to appear;
Figs. 2 and b are diagrams illustrating induction effects occurring in multipair coaxial cables;
Figs. 4 and 5 are cross-sectional. views of cables in accordance with the invention;
Fig. 6 illustrates how interaction cross-tall: may be measured; and
Fig. '7 represents a cable system in which tertiary conductors are blocked at repeater and transposition points.
It has been shown by S. A. Schelkunoff and T. M. Odarenko, the latter being onel of the present applicants, in a paper appearing in the April, 1937, issue of Bell System Technical Journal, what the factors are that govern cross-talk between two coaxial conductor units in free space. Reference is made to that paper for an explanation of several of the effects to be considered hereinafter and for a derivation of some of the equations employed in the course of this arrows, and that this cross-talk then appears at terminal R2. By way of further and more specific example, it may be assumed that the signals involved are television signals occupying the frequency range from 50 to 2,500 kilocycle's per second,- and that thesignal repeaters are spaced about five miles apart.
It is shown in the Schelkunoff et al. paper,
I supra. that if two parallel coaxial circuits are in free space and insulated from each other the voltage drop e1 along the outer surface of the outer coaxialconductor in an elemental length d1 of the disturbing circuit is where I1 is the signal current flowing through the outer conductor; and
Z., is the surface transfer impedance per unit length between the inner and outer surfaces of the outer coaxial conductor;
and that in a long line or one in which the intermediate circuit is terminated in characteristic impedance this voltage gives rise to a current is:
2Z3 which flows in the intermediate or tertiary circuit of characteristic impedance Z: formed by the two outer conductors.
'I'he current i3, represented diagrammatically in Fig. 2, flows along the outer conductor of the disturbed circuit 2 and .produces a voltage on the inner surface of that conductor which in turn gives rise to a component of cross-talk in the disturbed circuit. In a long line each elemental length of the disturbed circuit is also affected by the current is arising in each other elemental length inasmuch as the latter current is propagated through the intermediate circuit.
'When the efects'are integrated, it is found that the far-end cross-talk due to this interaction component is a complicated function of the various cable parameters as appears from Equation 40 of the Scheikunoff et al. paper.
If, however, the coaxial pairs are in substantially continuous contact with each other, the
formula for the far-end cross-talk F3 expressed `that interaction cross-talk between elemental 'lengths dl cannot exist.
a case is solely -direct" cross-talk.
If a lead or other metallic sheath 3 is placed symmetrically around but insulated-from the two coaxial pairs and whether or not the latter are insulated from each other, an intermediate or tertiary circuit is formed, as indicated diagrammatically'in Fig. 3, comprising the sheath as one side and the outer conductors of the coaxial pairs in,parallel as the other. The voltage e1 effective in-an elemental length d1 gives rise to a current i4 that flows in this intermediate circuit and that is propagated therethrough. The magnitude of this current is The cross-talk in such vwhe-c z. is the producing vwhere 'ys tiary circuit of 9,248,851 characteristic impedance of theI intermediate circuit. Half of the current u is carried by the outer conductor of the disturbed coaxial circuit in opposition to is and is propagated through the aforesaid tertiary circuit, thus l current in every other elemental length of the disturbed circuit. When the effects are integrated over a length of cable l, the far-end cross-talk component F4 due to this tertiary circuit current is found to be as follows:
F Zig 2 1. 'vi
162.24 n 1iy 2(72 +7?) Fha-"1 e'("4+")l (5) (vi-11) (vn-0" (1 +1) is the propagation constant of the tercharacteristic impedance Z4.
It may be noted that in so far as the effects here described are concerned| any conductor symmetrically disposed with respect to the coaxial pairs would function in'the same manner as the sheath, hence the tertiary circuit represented in Fig. V3 may be understood as comprising either the sheath or such other insulated conductors as may be present or, as a good approximation, both in parallel and lumped together as circuit member 3.
If the sheath and/or such other conductors are in substantially continuous contact with the coaxial pairs so that the'attenuation of the. intermediate circuit is extremely large, the formula for far-end c -talk F4 reduces to the following simple relation:
where Z equals Z474. It is important to note that thetotal cross-talklhinthiscaseisthe sum of the cross-talk components F: and F4 as given by equations 3 and 6, respectively, or'
Inthe last equation, the second term in the bracket represents the contribution of the tersheath and it is seen tiary circuit comprising the tobe opposite in sign to-the first term which represents the cross-talk which would exist in to length, the total is also proportional to length.
'I the significant deduction can total cross-talk would be zero From Equation be made that the present invention, although even this figure might be bettered.
Fig. 4 shows in cross-section a typical embodiment of the subject-matter last discussed comprking two coaxial conductor units l, 2, eachof the umts having an outer conductor that is made up of a tubular copper portion l and an overlayerlofironorsteel. Theportionlmaycomprises strip f copper rolled into tubular form .and provided with a longitudinal seam as disclosed fully in Seeley Patent 2,126,290, August 9, 19.38. The ferrous portion l may comprise an iron or steel tape wrapped helieally about the copper tube I or two such wrappins so that one overlies Enclosing both coaxial units and in intimate conductive Vcontact with the respective outer conductors thereof is a as the sheath is in continuous contact with the outer conductors it is not essential that the latter contact each other directly.
If, in the cable illustrated in Fig. 4, the sheath and any other conductors .external of the coaxial pairs are insulated from the coaxial outer conductors, the total cross-talk may be obtained by if Zn and 4Z were equal. Although this highly desirable condition cannot be perfectly realized in practice it can be very closely approximated if the outer conductors of the coaxial comprise respective wrappings of iron or steel tapes or if they are otherwise arranged to have high external surface impedance. In such case, neglecting external induetance and prox- 'imity eects, Zas would be equal to twice the surface. self-impedance of a single outer conductor and Zu would be equal to one-half of the surface self-impedance of a single outer conductor, treating the self-impedance of the sheath as being negligible in com with that of the iron or steel covering. Thus to a nrst approximation l/zsa would equal 1/4Z44 and the crosstalk would tend to va Actually, a reduction in cross-talk of the order of fortyfold has been obtained inaccordance with 4Z 2 --n1+2m+1 1 1 (8) It is to be noted thatthe iirst term of Equation 8 is proportional to the length, that the secondy is independent third involves length exponentially. For cable lengths such as are electrically long and the third term vanishes:
For electrically short lengths, the second and third terms of Equation 8 combine to cancel the second half of the iirst term:
F l 2z Zas 45111-7 4Z -7 2 El L JL l1 f 2z [A 42..'2] (lo) A For cable lengths short enough that the term of Equation 10 involving-l2 is negligible, the crosstalk increases directly with length. Equation 9 holds the first term is still proportional to length, but it is important to observe in this -clase that it consist of the difference of two components, one component representing the oross-talk'that would be present in the absence of a tertiary circuit, and the second representing one part of the cross-talk component introduced by the presence of a tertiary circuit.
In view of the lastobservation, it will be understood that if the surface impedance of the outer conductors is large as compared with the self-impedance of the sheath or other equivalent tertiary circuit conductor so that '1i vi-'v 1 (u) disposed the interturns gaps of the other.
lead sheath 3. Inasmuch of length and that the ordinarily used between re peaters the intermediate or tertiary circuits are Where ponent alone, plus another component independent of length but considerably lower in magnitude than would exist for two coaxials in free space. Even for perfect cancellation of the first terms, this term which is independent oflength is lthe minimum for a given configuration.
'I'he desirable condition indicated by Equation ll can be approximately realized in practice by overlaying the copper portion of each outer coaxial conductor with a sheath or wrapping of ferrous metal in the manner described above. Fig. 5 shows in cross-section an illustrative embodiment comprising two metallically contacting coaxial units I, 2, each as in Fig. 4, enclosed by a lead sheath 3 and insulated therefrom by a paper, fabric or other insulating inner liner 6. The cable may have also disposed in the interstices between the coaxial pairs and the sheath and symmetrically related to the coaxial pairs, two quads 1 each comprising four wire conductors insulated from each other and from the coaxial pairs. The circuits provided by the quads may be metallically continuous from one end of the cablen system to the other or individual repeaters m y be inserted therein at a few of the signal repeater stations. These circuits may be used for low frequency signaling or control purposes.
Having now set forth the laws governing quantitatively the far-end cross-talk in a system of the kind described with reference-to Figs. 1 and 5, the next step is the practical application of these laws to the optimum design of the cable.
Whereas Equation 8 permits calculation of the total erom-talk that will be given multipair coaxial cable of the kind described and of any 'given length, it is not a solution of the immediate problem, viz., ascertaining the optimum proportions for a given cable of given length. More specifically the problem is to ascertain the optimum value for the surface transfer impedance of the coaxial outer conductors and to ascertain what is the minimum shielding effect of the outer conductors consistent with tolerable over-all cross-talk whereby the cross-talk requirements can be met with a minimum expenditure of material for the outer conductor and its high impedance over-layer.
A mathematical approach to the solution of this problem is impractical generally unless supplemented by certain measurements because of complexities introduced by the presence of a large number of coaxial pairs in the same cable, some being used for transmission in one direction and some for transmission in the opposite, but at least in cables of simple configuration where the i outer conductor comprises homogeneous layers,
obtained in any y the various factors in Equation 8 can be determined by mathematical procedure known to those skilled in the art. Alternatively and preferably, however, the data required for the next step in the practical design procedure are obtained by measurements on a short sample of cable of substantially the configuration desired, the data obtained from these measurements being then inserted in Equation 8 to permit calculationof the over-all cross-talk in a cable of the desired length and having the cross-sectional proportions of the sample tested. Thereafter, by calculation, the degree of change in the surface transfer impedance or Ithe change in thickness of the outer conductor required to bring the total cross-talk to the optimum value is ascertained. T'hus by measurements made on a few feet of cable of the approximate proportions desired a transcontinental cable system, for example, can be constructed so that the ment is met without waste of material.
In accordance with the method outlined. an electrically short length of cable of approximately the desired cross-sectional configuration and proportion is first assembled. Suppose for specitlc example that the cable configuration is as shown in Fig. 5. Following technique well known inthe art, measurements are made of the characteristic impedance of either coaxial unit, the characteristic impedance of the tertiary circuit comprising the two coaxial outer conductors on the one side and quads l and sheath 8 on the other, and therespective propagation constants of the tertiary circuit and of either coaxial unit. With the tertiary circuit then terminated at each end in its characteristic impedance as measured, the far-end cross-talk betweenthe two coaxial circuits is measured in both phase and magnitude. From these data, the phase and magnitude of the first component of term Z in Equation 8 can be computed by use of Equation 10.
To obtain the necessary data for computation of the other termsin Equation 8, an interaction cross-talk test is made. For this test two short lengths are Joined, as shown schematically in Fig. 6, with all the conductors comprising the tertiary circuit as above defined continuous at the junction and with the tertiary circuit terminated at each end in the measured characteristic impedance. 'I'he coaxial circuits are interrupted at the junction and the disturbing and "disturbed" sections are terminated at their proximate ends in characteristic impedance and at their remote ends connected to the measuring apparatus as illustrated. The interaction cross-talk F4 for this case 1s YZal F 4Z., so that if itis measured in phase and magnitude the necessary data for the rem ning terms of Equation 8 are calculable.
Knowing now the values of the several parameters in Equation 8, that equwtion can be solved to determine what the over-all cross-talk would be in a cable of any given length l having the and electrical charthe total cross-talk to Ithe predetermined optimum value.
To translate the indicated change inthe surface transfer impedance Z., into terms involvg the thicknesses of the copper outer conductor and its ferrous over-layer, it is necessary to inquireinto what the relation the various significant cross-section.
It can be shown that the pertinent relation is given by the following equation for Zn:
is between Z., and parameters of the cable Zaal-Zan l Zn' Z1 -t-Znz (13) where Zai is th surface transfer impedance of the copper portion of t-he outer conductor, Z. is the surface transfer impedance of the ferrous over-layer, Zh is the lsurface self-impedance of the outer surface of the copper portion, and Zu.: is the surface self-impedance of the inner surface of the ferrous over-layer.
ing equation for the absolute value of Zai:
Z.= y: rga (cosh p-cos p) where p=intrinsic inductance=4x 10-0 henries/cm.l
=intrinsic conductance in mhos/cm.=
,p=inner and outer radii in cms.
f=frequency in cycles/sec.
t=thickness in cms.
|=2ff. Equation 14 is applicable to integral copper tubes andwi'thahihdegreeofaccuracytoalongitudinalseamcoppertubeofthekinddisclosedin the Seeley patent, supra. With the aid of the last equation, any indicated percentage change in Zuor Z. canbetranslatedaccuratelyintoa corresponding equivalent change in t, the thickness of the outer conductor. Changes in thicknesstwill alsoaffectzmbutsincemiscontrolling due to the ferrous material, this change may be neglected. Since the inner diameter of an outer conductor is usually iixed by transmission requirements, changes in thickness t will affect, to some extent, the outside diameter. l'br any ordinary copper thicknesses, however, such a change will not appreciably affect any previously measured cable parameters. It should be understood too that the frequency f is the frequency at which cross-talk is most severe, viz.. the frequency at the lower end of the signaling band.
'lhe procedure hereinbefore outlined for the optimum design of a cable with respect to far-end cross-talk can be applied to the case where nearend cross-talk is the limiting factor. In the latter case the equation for total near-end crosstalk N1 corresponding to Equation 8 for far-end cross-talk is as follows:
In a section where the tertiary circuit is electricaily long, Equation 15 reduces to which is the same as for far-end cross-talk in ofcomse.repeatersareinsertedinallcfthese arateaccountistakenofthemannerm'which cross-talksmnslminsuccsiverepeatersections.
It is to be observed too that the f for near-end and far-end cross-talk characteristieimpedanceateachendoflengthl. .thatis,ateachrepeaterpointinthecaseofa repeateredsystelmwhereasinpracticeitmaybe desired, for one reason or another, eilectively to short-dreuitallothasignalingcircuitslndthe leadsheathofthecabletotheouter'ccnductors ofthecoaxialpairsateachrepeaterpoint. Ex-
cept for the short circuit, of course. the adjoining sections of tertiary circuit would provide the asumed termination. Where far-end cross-talk is the controlling factor, however, one may dis regard the manner of terminating the tertiary 'circuit in view of the relatively great length of a repeater section and the fact that signicant contributions to the total cross-talk are made throughout the section. Where near-end crosstalk is the controlling factor, on the other hand. the fact that the significant contributions to the total near-end cross-talk are largely confined to one end of the repeater section makes the proximate termination somewhat more important.
`Account may be taken of the short-circuit termination of the tertiary circuit-if greater accuracy is desired hy employing the following equation in lieu of Equation 16.
l 1 vs ayayz I e-ryl Nl 2Z[ viv H-ff) 4Z.. 1:7=)1 1. 1 (18) Similar expressions may be derived for cases in which only part of the tertiary is snorted or i may be eifected by phase reversing transformers as disclosed in M. l'. Strieby Patent 1,950,127, March 6, 1934, or by inserting an extra, phase reversing ampliiier stage in one of the systems at repeater points. If, as would ordinarily be the case, all or part 'of the tertiary circuit is continuous past the transposition point', it will carry tertiary circuit currents from one side of the transposition to the other and thereby carry interaction cross-talk into the next section, thus nullifying in part the eifectivene of the transposition.
In accordance with a feature of the present invention the interaction cross-talk between transposed sections of cable is suppressed by blocking the ow of tertiary circuit currents at the transposition point. The blocking means may constitute a virtual short circuit or open circuit in the tertiary for the currents of signal frequency which ilow in the coaxial circuits but itmaybesoarrangedasnottointerferesubstantialiy with the transmission of low frequency signal and control currents through the elements of the tertiary circuit constituted by quads 1, for example, as in Fig. 5. Where the transposition is effected at a repeater point the blocking of the tertiary circuit serves also to suppress undesirable local coupling between virtually the input and output circuits of the several repeaters.
Fig. 7 illustrates a cable system in which the tertiary circuit is blocked for signal frequencies at mid-repeater transposition points and at repeater points. Coaxial circuit I is represented as being electrically transposed midway betweenl successive repeater points while throughout the same section coaxial circuit 2 is left untransposed. At each of the repeater stations and at each repeater point the sheath 3 is effectively vconnected to the outer conductors of the coaxial circuit;` a metallic connection can be used for this purpose. Any other component of the tertiary circuit such as the quads or wire conductors represented by conductors 'I in Fig. 7 may likewise be effectively connected in the same manner as sheath 3, but if their usefulness for low frequency signaling and control purposes is to be preserved, they may be' blocked to signal frequencies by frequency selective reactances such as shunting condensers 8, or series inductors 9 or by a combination of both arranged as a low-pass filter. With the tertiary circuit thus suppressed, interaction cross-talk between successive transposition sections is likewise suppressed and the full benents of the transposition may be realized.
What is claimed is:
1. A multicircuit signaling system comprising a plurality of sources of different signals to be transmitted, a cable for the long distance transmission of said signals, said cable comprising a plurality of coaxial conductor pairs, each of said pairs comprising an inner conductor and a hollow outer conductor insulated from each other,
Y Vmeans for applying the said different signals l Ffrom said sources to respective ones of said coaxial pairs for long distance transmission therethrough, each of said outer conductors comprising an'inner layer of high conductivity and a contiguous over-layer such that the external surface self-impedance of said over-layer is many times as large as the external surface selfimpedance of said, inner layer, said cable comprising also a conductor external of said pairs and symmetrically related thereto, said external conductor having a resistance low compared with that of said over-layers, and the surface transfer impedance of said outer conductors with their respective over-layers being so proportioned that the predominant cross-interference coupling is of optimum value.
, 2. A combination in accordance with claim 1 in which said external conductor is in substantially continuous contact with said over-layers.
3.- A cable system for the long distance transmission of high frequency signals over a plurality of circuits, the cable of said system comprising a plurality of coaxial conductor pairs for the transmission of said signals, each of said pairs comprising an inner conductor and a hollow outer conductor-insulated from each other, each of said outer conductors having an inner layer of high conductivity and a contiguous overlayer such that the external surface selfimpedance of said over-layer is many times as large as the external surface self-impedance of said inner layer, said cable comprising also a conductor external of and symmetrically di posed with relation to said coaxial conduc r pairs and insulated therefrom whereby a ter,- tiary circuit is provided comprising said external conductor and said over-layers, the surface transfer impedance of said outer conductors with their respective over-layers being so related to the propagation characteristics of said tertiary circuit that the predominant cross-interference coupling between said coaxial conductor pairs is of optimum value.
4. A combination in accordance with claim 3 in which said over-layers are in substantially continuous contact with each other.
5. A cable system for the long distance transmission of different high frequency signals over respective circuits, the cable of said system comprising a plurality of coaxial conductor pairs for the transmission ofsaid signals, each of said pairs comprising an inner conductor and a hollow outer conductor insulated from each other,
each of said outer conductors having an inner 4 layer of high conductivity comparable with that of copper and an over-layer of such material that the external surface self-impedance of said over-layer is many times as large as the external surface self-impedance of said inner layer, said cable comprising also a conductor external of and symmetrically disposed in relation to said coaxial conductor pairs and substantially coextensive therewith, said external conductor being disposed in substantially continuous electrical contact with said over-layers and having a resistance longitudinally of said cable that is low compared 'with that of said over-layers, whereby the direct cross-talk between said coaxial pairs is substantially neutralized by the interaction cross-talk through said tertiary circuit.
6. A combination consistent with claim 5 including a metallic sheath enclosing all of said l.coaxial pairs, saidsheath being in substantially continuous mechanical contact with aplurality of said over-layers.
7. A cable system for the long distance transmission of high frequency signals over a plurality of circuits, the cable of said system comprising a plurality of coaxial conductor pairs for the transmission of said signals, each of said pairs comprising an inner conductor and a hollow outer conductor insulated from each other, said cable comprising also a conductor external of and symmetrically related to said coaxial conductor pairs and insulated therefrom whereby a tertiary circuit is provided comprising said external conductor and said outer conductors, means at a point along said cable for electrically transposing one of said pairs relative to another, and means at said point blocking the flow of tertiary circuit currents past said transposition y point.
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Cited By (24)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2438913A (en) * 1941-10-31 1948-04-06 Sperry Corp High-frequency filter structure
US2518271A (en) * 1945-02-07 1950-08-08 Telecommunications Sa Device for reduction of cross talk between two coaxial pairs of a telephone cable
US2526942A (en) * 1946-04-15 1950-10-24 Telecommunications Sa Process for reducing the far-end crosstalk between concentric pairs due to tertiary circuits
DE967349C (en) * 1944-05-19 1957-11-07 Fernkabel Ges Mit Beschraenkte Telecommunication cable system with pupinized quads and lines for the transmission of higher frequencies housed within the same cable
US3350647A (en) * 1962-10-25 1967-10-31 Communications Patents Ltd Wired broadcasting systems and communication cables therefor
US3789130A (en) * 1968-10-18 1974-01-29 Pyrotenax Ltd Hebburn On Tyne Tamper proof electrical cables
US4077022A (en) * 1974-08-05 1978-02-28 Texaco Inc. Well logging method and means using an armored multiconductor coaxial cable
US4264940A (en) * 1976-11-30 1981-04-28 Castle Kent D Shielded conductor cable system
US4599483A (en) * 1983-10-14 1986-07-08 Audioplan Renate Kuhn Signal cable
US4684766A (en) * 1984-09-25 1987-08-04 Kabushiki Kaisha Toshiba High voltage cable assembly having reduced stray capacitance
US4816614A (en) * 1986-01-20 1989-03-28 Raychem Limited High frequency attenuation cable
US4822956A (en) * 1986-08-11 1989-04-18 American Telephone And Telegraph Company Coaxial cable
US4847448A (en) * 1987-07-21 1989-07-11 Sumitomo Electric Industries, Ltd. Coaxial cable
US5266744A (en) * 1991-08-16 1993-11-30 Fitzmaurice Dwight L Low inductance transmission cable for low frequencies
US6686538B2 (en) * 1997-01-30 2004-02-03 Matsushita Electric Industrial Co., Ltd. Method for connecting electronic devices and connecting cable
US20070002634A1 (en) * 2005-06-10 2007-01-04 Luc Montperrus System and method of transmitting data in an electronic circuit
US20070081414A1 (en) * 2005-09-12 2007-04-12 Cesar Douady System and method of on-circuit asynchronous communication, between synchronous subcircuits
US20070245044A1 (en) * 2006-04-12 2007-10-18 Cesar Douady System of interconnections for external functional blocks on a chip provided with a single configurable communication protocol
US20070248097A1 (en) * 2006-03-31 2007-10-25 Philippe Boucard Message switching system
US20070271538A1 (en) * 2006-05-16 2007-11-22 Luc Montperrus Process for designing a circuit for synchronizing data asychronously exchanged between two synchronous blocks, and synchronization circuit fabricated by same
US20070297404A1 (en) * 2006-06-23 2007-12-27 Philippe Boucard System and method for managing messages transmitted in an interconnect network
US20080028090A1 (en) * 2006-07-26 2008-01-31 Sophana Kok System for managing messages transmitted in an on-chip interconnect network
US11264148B2 (en) * 2015-12-25 2022-03-01 Hitachi Metals, Ltd. Composite cable and composite harness
US11569003B2 (en) * 2019-03-07 2023-01-31 Hitachi Metals, Ltd. Composite cable and composite harness

Cited By (28)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2438913A (en) * 1941-10-31 1948-04-06 Sperry Corp High-frequency filter structure
DE967349C (en) * 1944-05-19 1957-11-07 Fernkabel Ges Mit Beschraenkte Telecommunication cable system with pupinized quads and lines for the transmission of higher frequencies housed within the same cable
US2518271A (en) * 1945-02-07 1950-08-08 Telecommunications Sa Device for reduction of cross talk between two coaxial pairs of a telephone cable
US2526942A (en) * 1946-04-15 1950-10-24 Telecommunications Sa Process for reducing the far-end crosstalk between concentric pairs due to tertiary circuits
US3350647A (en) * 1962-10-25 1967-10-31 Communications Patents Ltd Wired broadcasting systems and communication cables therefor
US3789130A (en) * 1968-10-18 1974-01-29 Pyrotenax Ltd Hebburn On Tyne Tamper proof electrical cables
US4077022A (en) * 1974-08-05 1978-02-28 Texaco Inc. Well logging method and means using an armored multiconductor coaxial cable
US4264940A (en) * 1976-11-30 1981-04-28 Castle Kent D Shielded conductor cable system
US4599483A (en) * 1983-10-14 1986-07-08 Audioplan Renate Kuhn Signal cable
US4684766A (en) * 1984-09-25 1987-08-04 Kabushiki Kaisha Toshiba High voltage cable assembly having reduced stray capacitance
US4816614A (en) * 1986-01-20 1989-03-28 Raychem Limited High frequency attenuation cable
US4822956A (en) * 1986-08-11 1989-04-18 American Telephone And Telegraph Company Coaxial cable
US4847448A (en) * 1987-07-21 1989-07-11 Sumitomo Electric Industries, Ltd. Coaxial cable
US5266744A (en) * 1991-08-16 1993-11-30 Fitzmaurice Dwight L Low inductance transmission cable for low frequencies
US6686538B2 (en) * 1997-01-30 2004-02-03 Matsushita Electric Industrial Co., Ltd. Method for connecting electronic devices and connecting cable
US20070002634A1 (en) * 2005-06-10 2007-01-04 Luc Montperrus System and method of transmitting data in an electronic circuit
US20070081414A1 (en) * 2005-09-12 2007-04-12 Cesar Douady System and method of on-circuit asynchronous communication, between synchronous subcircuits
US20100122004A1 (en) * 2006-03-31 2010-05-13 Arteris Message switching system
US20070248097A1 (en) * 2006-03-31 2007-10-25 Philippe Boucard Message switching system
US7639704B2 (en) 2006-03-31 2009-12-29 Arteris Message switching system
US20070245044A1 (en) * 2006-04-12 2007-10-18 Cesar Douady System of interconnections for external functional blocks on a chip provided with a single configurable communication protocol
US8645557B2 (en) 2006-04-12 2014-02-04 Qualcomm Technologies, Inc. System of interconnections for external functional blocks on a chip provided with a single configurable communication protocol
US20070271538A1 (en) * 2006-05-16 2007-11-22 Luc Montperrus Process for designing a circuit for synchronizing data asychronously exchanged between two synchronous blocks, and synchronization circuit fabricated by same
US8254380B2 (en) 2006-06-23 2012-08-28 Arteris Managing messages transmitted in an interconnect network
US20070297404A1 (en) * 2006-06-23 2007-12-27 Philippe Boucard System and method for managing messages transmitted in an interconnect network
US20080028090A1 (en) * 2006-07-26 2008-01-31 Sophana Kok System for managing messages transmitted in an on-chip interconnect network
US11264148B2 (en) * 2015-12-25 2022-03-01 Hitachi Metals, Ltd. Composite cable and composite harness
US11569003B2 (en) * 2019-03-07 2023-01-31 Hitachi Metals, Ltd. Composite cable and composite harness

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