`
`.._
`
`.
`
`=1
`
`.‘_-
`
`,
`
`_
`
`.
`
`..
`
`-5‘.
`
`:
`
`I.
`
`_
`
`Communication Engineering
`
`W. L. EVERITT, Ph.D.
`
`Dam, College of Enaineuing
`University offllinois
`
`G. E. ANNER, M.S. in Eng.
`
`Associate Profeuor of Electrical Engineering
`University of Illinois
`
`_-_.....’:._lr_7?::.,,:..‘.:c:,a-.,;:“,j.,
`
`:.'I_
`
`
`
`.""..--'3-"'-.'.'-:1-u'u‘.7‘L-‘Z.’-''_3.3"."'
`I:3:
`'.‘--i5f+.a1-.%;-:§:i;?.'5'§3§!5’...i1-:
`
`
`
`v—-'-in-'.-I..ILn_flnE'b'd:nJ\'_‘flu|:.-..'.n.iI-au'...'.-A...'
`..1_,.-
`
`-y‘
`
`
`
`
`
`
`
`
`
`..-__._-_;_:__‘_.,,\-I‘:-_:‘"._-'1.
`
`'I'nnn Enmox
`
`MCGRAW-HILL BOOK COMPANY, me.
`
`New York
`
`Toronto
`
`London
`
`1955
`
`.
`
`_._.-__-.-_._____
`
`
`--..'k.-u.'.....I..'..._...
`
`:7
`
`
`
`
`
`9Is‘;y.f_..
`
`"_'I'.
`.._x_-.
`C.
`
`Q
`
`._l_.'.! ‘
`
`
`
`-1'3‘:
`
`-
`
`Aerohive - Exhibit 1032
`
`000 1
`
`Aerohive - Exhibit 1032
`0001
`
`
`
`
`
` COMMUNICATION ENGINEERING
`
`0op1r3zht@l956bythoHaGnIr-Bookdnlnpumlno.
`
`".
`
`L
`
`5‘
`
`Copyricht, 1982, 1&7, by the Meflnw-Hill Book Company, Inc.‘ Printed in
`thoUnitedBhtuolAmo:-ion. All:-Ightuxuu-viii.
`'1'hisbook,orpu-tn
`thezeo£,msynctbonproduoodinuyIormw£thnuGpu1nEnnoltha1mhliahum
`Lc‘broI-yqfOoIIyrcu0a£alo90¢:dNuuIbu-I5-1IJl0
`n
`‘
`
`'
`
`. \: v ?.
`
`IUI IAHJ PI-HI OOIFANY. TORI, PA.
`
`.i‘-'
`-I..,.
`
`_
`_
`‘V’-i"ta.a..u‘.n.;......-....::.'—.
`
`_,
`
`_
`
`.
`
`Aerohive - Exhibit 1032
`
`0002
`
`Aerohive - Exhibit 1032
`0002
`
`
`
`
`
`in
`
`
`'
`
` .;.-....-.'.—:...-.-'....:.;-.L._,7‘.-1_..
`
`-
`
`cwlliumcanou nnulwnnnmo
`‘. flail ‘
`l
`51:13. Phantom .cecu'io.
`means by which thenumber
`muification channels carried by
`number of wires can be;
`tendsto reduceithe relative ccst'o?f"c.iItside plant, a major 01!
`long.-distance transmission. An.-extremely simple method by
`canlbe done is the use of “phantom” circuits. A phantom circuit gives
`an additional telephone channel for each four wires, thereby increasing
`the carrying capacity 50‘ per "cent.
`It works on a balancing principle
`similar to that of a bridge circuit. The terminal equipment required is
`very simple, ‘consisting only of a pair of repeating coils (or transformers)
`at each end of the phantom. The connection is shown in Fig. 5-11.
`
`
`
`‘ FIG. 5-11. Phhntom telephone circuits.
`
`l
`
`
`
`..-';.a:on..-.....:."3%.‘:-31.‘:-;.né:.;_€;;.--.'._._-
`
`oi
`
`;_.i.
`
`The standard -two-wire circuits are usually called “physical,” or “side,”
`circuits.
`..-The terminals of both physicals and phantoms are brought in
`long‘-distance board, so that the operator does not need to
`difierently from a physical.
`By the prin'ciple"cf*superposition the signals may be considered one at
`a tithe." A--voltage impressed on the phantom circuit at the west end of
`Fig. 5-11 will cause a cu_rrent to enter at the mid-tap of the secondary
`winding of each repeating coil.
`If the impedtmcss of the two line wires
`of the physicals are equal to each other, the current will divide equally
`and so produce mmfs which cancel each other in each repeating coil.
`The currents due to the signal impressed on the phantom terminals will
`flow in the same direction in the two wires of physical 1 and in the oppo-
`site direction in the two wires of physical 2. At the far end the two
`currents will again produce equal and opposing mmfs in the repeating
`coils,_ so that no flux will be produced. This absence of flux, due to the
`currents resulting from the phantom signal, prevents this signal from
`being transferred to the substations connected to the physicals.
`It also
`means that the effective inductance of the repeating coils is negligible
`for phantom currents. Three conversations, one on each physical and .'
`one ‘on the-phantom, can therefore be carried on simultaneously without
`interference;
`' The direc't.io_ns of the currents at some instant due to the several sig-
`nals are shown "by the arrows in Fig. 5-11.
`
`Aerohive - Exhibit 1032
`
`0003
`
`Aerohive - Exhibit 1032
`0003
`
`
`
`Barnes: NETWORKS
`
`.
`
`205
`
`
`
`In order to make sure that the mmfs completely cancel each other, the
`leakage flux must be made negligible. This is accomplished by winding
`the two halves of the secondary winding with wires which are adjacent
`to each other, as illustrated in Fig. 5-12. Toroidal cores are also used to
`reduce leakage flux.
`'
`It is extremely important that the impedancesof the two sides of each
`physical line be made as nearly identical as possible.
`If this is not done,
`the phantom currents in the two sides will not be identical and so a mini‘
`will be set up in the repeating coils. This
`will result in “cross talk," or interference
`between the unbalanced physical and the
`phantom.
`If both physicals should be un-
`balanced, the phantom would provide a path
`so that cross talk could also occur between
`pm, 5.12, windinsg of gm,
`the two physicals, as well as between each
`"°P°3tin8
`5°!‘
`"80 in
`physical and the phantom.
`phmwm °"°‘"t"
`The transmission on the phantom is _actu-
`ally better than on the physicals. Since the phantom uses two wires in
`parallel for each conductor, the line impedance is cut in
`ina cable
`In order to prevent the currents flowing in one pair pt
`from inducing a voltage in another pair, the pairs ‘are “twisted contin-
`-
`‘ uously along their length. On open-wire lines the two wires are trans-
`_ posed at regular intervals for the same purpose.
`When two pairs are phantomed, each
`1‘ pair individually must also be treated as
`a single conductor and the two pairs
`twisted with each other in a cable or trans-
`posed with each other on an open-wire line.
`fI‘wo-way telephone
`- FIG. 5-13-
`, gym’ 31°.“ ?"",,n°* °P°'°“ Cables in which this is done are called
`am 0
`8 3'
`“quadded” cables. Owing to the greater
`. efiective separation of the sides of a phantom circuit, its susceptibility to
`inductive interference is greater.
`‘
`5-14. Telephone Repeaters. One of the most important applications
`; of a bridge balance is in the two-way repeater on telephone lines. As
`'1 the length of a telephone circuit is increased, the line losses will reach a .
`limit at which the transmission will no longer be
`feasible.
`% Beyond this point it is necessary to introduce amplification‘ to make up
`for the line losses. The transmission of a telephone circuit should be the
`same in both directions. Therefore the amplifier must operate in both
`fdirections. The first idea which would occur to the experimenter is to
`:1" connect two amplifiers side by side as shown in Fig. 5-13, oneto operate
`in one direction and the second to amplify in the opposite direction. The
`circuit of Fig. 5-13 would not work, because it would oscillate, or “sing.,’/’
`Q
`as
`
`.
`
`.
`
`Aerohive - Exhibit 1032
`
`0004
`
`Aerohive - Exhibit 1032
`0004
`
`
`
`mnnnnn-rnmn:
`
`297
`
`-.'
`
`-"la!
`-9
`
`Inasmuch as the outer conductor of the flexible coaxial cable is not a
`__;'_
`"_'_-solid, continuous conducting sheet, the electric and magnetic fields may
`jfnot be confined to the region surrounded by the outer braid and leakage
`' ifields may-be present outside the cable, particularly at uhf and above.
`condition results from the incomplete shielding by the outer conduc-
`?tor and may be minimised by adding a second grounded shield braid
`ioutside the cable. This results in a so-called “shielded coaxial cable.”
`. The common telephone cable consists of a number_ of wire pairs,
`ulated ‘with paper and twisted together. The several are also
`over the entire cable length to minimise 'cross talk that results
`5
`'_._from magnetic and capacitive coupling between adjacent pairs.-- The '
`.]whole group of pairs is surrounded by a protective outer coating 'of.l_ead
`hr of corrugated aluminum covered with plastic. The telephone cable
`-‘and other common transmission-line types are illustrated in Fig. 8-3.
`;__ 8-8. Calculatlon of Line Parameters. While‘ the concepts of the per
`.. fit length line parameters R, L, G, and C’, were developed for the parallel-
`" ' ; line, they are by no means peculiar to that configuration. All _trans-
`._
`'
`' : ‘on lines exhibit all four of the lineparameters to some extent, though
`_' certain cases one or two of them may be of negligible magnitude.
`is notably demonstrated by the common telephone cable. Since each
`, ' a pair is twisted and currents flow in opposite directions in the two
`onductors comprising the pair, the flux linkages are so small that the
`
`i, the" shunt conductance, is of neglible magnitude. The efiect of neg-’
`_?
`'
`' g L and G in calculations for the telephone cable will be illustrated
`. ter in the chapter.
`,. Cable and transmission-line manufacturers publish tables giving the
`line parameters of ' their products. Typical values are listed in
`‘able 8-1. For simple line configurations, such as those of the parallel-
`. ' : or coaxial type, R, L, and C may be calculated from a knowledge of
`.-_."~.a--. line geometry and the properties of the materials from which they are
`.- e. The necessary equations may be derived by direct application
`field theory. They will not be derived‘ here but are summarised in
`-in. 8-2.
`.
`'
`.
`
`
`
`equivalent circuit of aalensth
`,_~ 8-4. The Infinite Line, Z..
`of a transmission line and the means at evaluating‘ its components
`I
`_-' ' , L, G, and C’ have been covered in previous sections, it is now possible
`- predict the behavior of a line when electrical
`are applied to it.
`' sing the equivalent-circuit idea, let the
`considered as being made
`M of a large number of incremental lengths, Ar. Each such length of
`‘,?-_u - then exhibits series loop inductance L M, series loop resistance R Am,
`
`;
`
`‘ See, for example, E. 0. Jordan, “Electromagnetic Waves and Radiating Systems,"
`-
`tics-Hall, Inc., New York, 1950.
`'
`1
`av
`
`Aerohive - Exhibit 1032
`
`0005
`
`Aerohive - Exhibit 1032
`0005
`
`
`
`
`
`av.
`Q '-_"6' .
`in _'
`
`-'
`
`'.i’.--'-'-
`V*'-: .
`5.1;:
`E?
`
`.'
`
`E:
`5 .
`
`5;;..
`F l
`,_..
`
`3
`
`P
`-
`
`‘
`
`can
`annual:
`flu
`Ifinn Inn: Inna-A '
`4-I IIIIIIIQ-.
`'''''''F''''''-
`__°;-g-_-_-__---I
`.........-""'.....
`an-Ind
`In-. 5...;
`II:-onnru-gnuun
`In-.:'u:——
`.. -'--.'*'-......
`WM
`
`and sunny man if.
`'0 III III! -I-In-I -It
`an oil: «I I I-I-u
`0|-I:1-our
`........a‘'‘''..''..:.'‘.......'' ........"‘
`2..*-'3-"'....1..."'."‘.."!'.l'..'.
`::'....''=='....*''''.:'.'‘
`
`I
`
`'
`
`\|
`5
`
`'3
`3
`
`unupunnn
`‘:m l
`uuugzniu-a
`J
`-.-.-.'.,-.--'...-..:--
` .
`C-an 1%
`
`
`
`(B)
`(A) Flexible coaxial cable.
`F10. 8-3. Common types of Lrensminion line.
`Shielded coaxial cable.
`(C) Twin lend.
`(D) Air-core twin lend.
`(E) fihielded pair.
`(F) Telephone cable.
`(6') Cable showing construction 0!’ coaxial elements and pain.
`(H) Croce section of C|u'cago—Terre Route cable.
`[(A-E) American Plmwlic Corpor-
`ation.
`(F-H) Illinois Bell Telephone Co.]
`
`shunt. conductance G A3, and shunt. capacitance 0 A3. The correspond-
`ing series impedance and shunt. admittance will be, then, by Eqa.
`(8911)
`and (8-2)
`‘
`-
`
`ZM==(R+J'wL)M-‘
`1’M='=(G‘+J'wC}M=
`
`(3-3)
`(3-4)
`
`
`
`Aerohive - Exhibit 1032
`
`0006
`
`Aerohive - Exhibit 1032
`0006
`
`
`
`
`
`-
`
`' was INFINITE LINE
`
`.
`
`299
`
`A -matter of convenience these elements may be arranged »in a sym-
`7 "cal T configuration so’-that the entire line may be considered as the
`ting case’ as Art ——> 0 of a‘ number of symmetrical T sécti’om_.s'1In cascade,
`T having the elements defined by Eqs. (8-3) and -(8-4). On this
`the results of Chap. 6 may be used to calculate the variation of
`Tum 8-1‘
`
`Type
`
`Gatgse.
`"‘“'
`
`‘
`
`Loop constah-tb[,mile .
`,
`'
`f
`1-‘
`Spgwms.
`R, ohm lqmht
`”"
`fq,1;.t
`Open-wirelines
`
`I
`.10, pmhos
`F
`I
`
`.
`. . .
`.
`.
`.
`.
`n-wire . . .
`.
`n-wirerphantom .
`.
`wire .
`.
`.
`.
`.
`.
`.
`.
`.
`.
`: wire....'.
`.
`. . . ..
`-wire phantom. .
`n-wire . .
`.
`.
`.
`.
`.
`.
`.
`. .
`
`104
`104
`104
`165
`165
`165
`
`.
`.
`.
`.
`.
`.
`.
`.
`.
`.
`. .
`. .
`tom . .
`tom . . . .
`
`. .
`. . .
`.
`. . .
`.
`.
`.
`.
`.
`.
`. x .
`.
`.
`.
`
`.
`.
`.
`.
`. .
`.
`.
`
`.
`.
`.
`.
`
`191'
`16"‘
`191’
`161"‘
`
`
`
`_ 4. '
`
`12
`12
`18
`12
`12
`18
`
`.
`.
`
`.
`.
`
`._;:
`
`10.
`’5.
`10.
`4.
`2.
`
`85:
`42,
`
`21.
`
`or coaxial cable, dz - 0.375 in., d; - 0.1004 in.
`From Amer. Tel. and Tel. 00.
`1A.W.G.
`1
`
`y-state current and ‘voltage along a uniform line, provided that it is
`' inated in Z... Expressions will first be derived for 7 and Z. in terms
`‘the line consta.nts.- Then equations will be derived for voltage and
`exit as a function of distance along the Line.
`'
`,
`A
`-—5. Characteristic Impedance. Corresponding to Z; of the sym-
`‘-cal lumped iterative structure, one has Z Are for the line and, corre-
`nding to Z2, 1/ Y‘Aa:. Thus from Eq. (6-15)
`
`;z;
`Zn __ J
`a
`_
`.Za— Z1Z:+T— Z1Z2(1.-_|-33;
`bstituting for Z; and Z2, one has for the uniforni line _
`
`
`
`
`
`t
`
`.
`
`Aerohive - Exhibit 1032
`0007
`
`Aerohive - Exhibit 1032
`0007
`
`
`
`
`
`800
`
`,
`
`COIIIIIJNICATIOII nrenunume
`.
`Tnnfl-2.LnuPnnn'nnsronPnu.u:.-wnILnnun.
`Coanxncuu
`'
`
`I
`!
`
`:3
`
`* W»
`
`-
`
`~
`
`-
`
`E!
`£9
`# ' .
`dueto
`duoto
`flu link-
`flux linkuu
`ape Jtilhin
`outnide
`_ conductors
`conductors
`
`'
`
`'
`
`
`
`nun.‘
`
`....§_...
`
`'9
`
`:3-'-..._,
`
`-'5aw:
`
`f"_
`''
`
`_
`
`i
`
`'
`
`®0 "’
`
`-'
`
`Panllel-Iriroline:
`
`Ibsen - dielectric
`3;‘.
`
`"
`
`4. -10"/36-mks
`.u..-eonduotm-permeability
`‘(.#r)d|I
`nu-dioleetriopormesbility
`-(nu)-we
`.3. - 41' X10""n1kl
`ur - oonduetivityofeondueton
`8-‘. Complex Propagation Constant. The complex propagation .- --
`stent. 1-... for the equivalent eection of length A: may be obtained
`similar manner. Applying Eq. (6-6) to the element of line of 1' '_
`flu; one has
`-
`'3'
`
`_z,/2+z.+z._ 5
`
`Z3
`
`l+2Z.+ Z.
`
`07‘.
`
`
`
`'
`
`3.)
`
`Aerohive - Exhibit 1032
`
`0008
`
`Aerohive - Exhibit 1032
`0008