Abstract:
A communication system which includes a modem and a plurality of controllers has each controller connected to the modem by an interface apparatus, each controller and the modem complying with a predetermined protocol. The interface apparatus comprises a bus which provides a medium to transfer signals between the controllers and the modem. A first interface unit, which interfaces the modem to the bus, implements a modem-associated multi-state state machine and responds to signals on the bus maintaining the predetermined protocol between the modem and the first interface unit. A plurality of second interface units interface a corresponding controller to the bus. Each second interface unit implements a controller-associated multi-state state machine which responds to signals on the bus and further responds to signals from the corresponding controller, each second interface unit maintaining the predetermined protocol between the second interface unit and the corresponding controller. Further, each second interface unit transmits onto the bus in a predefined cycle to resolve conflicts between controllers for access to the bus.

Description:
RELATED PATENT APPLICATION 
     The present patent application is related to U.S. patent application, Ser. No. 07/363,844, now U.S. Pat. No. 4,989,203, entitled &#34;APPARATUS FOR PROVIDING MULTIPLE CONTROLLER INTERFACES TO A STANDARD DIGITAL MODEM AND INCLUDING SEPARATE CONTENTION RESOLUTION,&#34; by T. Phinney, and to U.S. patent application, Serial No. 07/363,842, entitled &#34;APPARATUS FOR PROVIDING MULTIPLE CONTROLLER INTERFACES TO A STANDARD DIGITAL MODEM AND INCLUDING MULTIPLEXED CONTENTION RESOLUTION,&#34; by T. Phinney, both applications filed on even date herewith, and assigned to Honeywell Inc., the assignee of the present invention. 
     BACKGROUND OF THE INVENTION 
     This invention relates to a digital interface apparatus, and more particularly, to an apparatus for providing multiple controller interfaces to a standard digital modem, and includes an integral method of resolving conflicting outputs from the connected controllers. 
     In present communication systems utilizing a bus approach, which in particular conforms to IEEE standard 802.4-1989 section 10 (which is now also ISO DIS 8802/4 section 10-(1988)), each controller interfaces with a modem. In particular, controllers of the aforementioned communication systems could not share modems. Each controller interfaced with its corresponding modem. 
     Therefore, because of the relatively high cost of the modem, there is a need to reduce the number of modems employed in a communication system using the IEEE 802.4 standard. There is provided by the present invention an apparatus which permits multiple (token bus) controllers of the aforementioned communication systems to share a single modem. Further since the modem itself has an analog connection to a medium, there is created certain loads on the medium in terms of energy loading on the bus so that for a given system there is a limited number of ports for connecting the analog modem. By being able to share one analog modem across many digital controllers, there is effectively a multiplier placed in the system of how many devices can be connected. Without having to put repeaters in the analog line, a system is thereby created in which each analog port interfaces many digital controllers by sharing the modem. 
     A further feature of the present invention reduces the need to have fiber optic or coax cables to connect each device on the bus to every other device on the bus. In the present invention, because these signals are in the form of digital signals, printed wiring backplane or conventional multi-conductor ribbon cable and their associated connectors can be used for devices or modules within close proximity rather than having to utilize specialized fiber optic or coax connectors, and fiber optic or coax cables, respectively. Furthermore, the modem serves to isolate the devices or modules so that they can communicate with each other despite the presence of disabling faults elsewhere in the communications system. Also, for equipment within close proximity, the modems can be eliminated entirely (with a very minor modification), thereby reducing the cost, and still permitting the equipment to have the same interface as if the equipment were communicating remotely. 
     SUMMARY OF THE INVENTION 
     Therefore, in a communication system utilizing the IEEE 802.4 standard, there is provided by the present invention, an apparatus for providing an interface between multiple controllers and a single modem. The communication system which utilizes the present invention has a modem which provides a link to remote modems, each modem being connected by a common medium. The communication system further has a plurality of controllers, each controller connected to the modem via an interface apparatus. The modem and the controllers comply with a predetermined protocol. The interface apparatus of the present invention comprises a bus which provides a local medium to transfer signals between the controllers and the modem. A first interface unit, which interfaces the modem to the bus, implements a modem-associated multi-state state machine and responds to signals on the bus maintaining the predetermined protocol between the modem and the first interface unit. A plurality of second interface units interface a corresponding controller to the bus. Each second interface unit implements a controller-associated multi-state state machine which responds to signals on the bus and further responds to signals from the corresponding controller, each second interface unit maintaining the predetermined protocol between the second interface unit and the corresponding controller. Further, each second interface unit transmits onto the bus in a predefined cycle to resolve conflicts between controllers for access to the bus. 
     Accordingly, it is an object of the present invention to provide an apparatus which permits multiple controllers to share a single modem. 
     It is another object of the present invention to provide an apparatus which permits an increase in the number of devices that can be put on a given system without affecting the analog loading of a medium, and therefore the medium structure. 
    
    
     These and other objects of the present invention will become more apparent when taken in conjunction with the following description and attached drawings, wherein like characters indicate like parts, and which drawings form a part of the present application. 
     BRIEF DESCRIPTION OF THE DRAWINGS 
     FIG. 1 shows a block diagram of a partial communication system of the prior art; 
     FIG. 2 shows a block diagram of a partial communications system including the apparatus of the present invention permitting multiple controllers to share a single modem; 
     FIG. 3 shows a functional diagram of the networks coupled to the apparatus of the preferred embodiment of the present invention; 
     FIG. 4 shows a functional diagram of the networks coupled to an alternative embodiment of the apparatus of the present invention; 
     FIG. 5 shows a block diagram of a part of the interface apparatus which eliminates the modem; 
     FIG. 6 shows a functional block diagram of the encoding of the controller transmissions by the interface apparatus of the preferred embodiment of the present invention; and 
     FIG. 7 shows a block diagram of an alternative embodiment of the present invention which includes a plurality of modems. 
    
    
     DETAILED DESCRIPTION 
     Referring to FIG. 1, there is shown a block diagram of a prior art, partial 802.4 communication system that has a single modem 10 and a single controller 11, one to one, and that there are signals that go from the controller 11 to the modem 10, and separate signals that go from the modem 10 to the controller 11. 
     Referring to FIG. 2, there is shown a block diagram of a partial communication system, including a single modem 10, a plurality of controllers 11, CONTROLLER A, CONTROLLER B, CONTROLLER C, . . . . Modem 10 is a standard 802.4 compatible modem connected to a medium 12, and controllers 11 are 802.4 compatible token bus controllers 11 being standard components available in the marketplace. 
     An apparatus, interface 20, of the present invention includes interface A (IFA) 22 and interface B (IFB) 24, which provides the interface for two (multi-wire wide) buses 26, 28, the first bus 26 being sourced by any or all of the controllers 11, and the other (second bus 28) being sourced by the modem 10. Therefore, there are two networks 26, 28 which replace the two sets of point-to-point lines of the prior art modem-controller pairing of the 802.4  system of FIG. 1. Network 28 is unidirectional; network 26 is unidirectional with respect to interface A 22 but is bidirectional with respect to interface B 24. Instead of one-to-one modem controller pairing, there is provided by the apparatus of the present invention, an N-to-1 (and N-to-N) network 26, and a 1-to-N network 28, having N-controllers and one modem. 
     The logic of IFB 24 goes on the controller side of the networks (i.e., pair of networks) 26, 28, and the logic of IFA 22 goes on the modem side of this pair of networks 26, 28, such that the controller 11 will only see valid signals (i.e., signals that are valid according to the 802.4 standard), and such that the modem 10 will only see signals that are valid according to the 802.4 standard. Any controller 11 and any modem 10 that meets this standard (i.e., the 802.4 standard, and in particular the interface specification of section 10 (1989)) will operate correctly in the &#34;sharing&#34; configuration of the system of FIG. 2 with the interface 20. 
     The IEEE Standard 802.4 contains constraints on the interface between the controller 11 and the modem 10. Some of these constraints are electrical constraints, which include setup and hold times, voltage levels, . . . . Other constraints are logical or functional such as a set of legitimate symbol signaling sequences. 
     Referring to FIGS. 3 and 4, there is shown functional diagrams of the networks and the coupling with interface 20. The interface has essentially a transmit side and a receive side, each of which has parallel data lines that provides a multi-bit wide symbol. There are four data lines plus either two (FIG. 3) or three (FIG. 4) clock lines from the modem 10, carrying one of sixteen symbols on the interface; and there are either four (FIG. 3) or five (FIG. 4) data lines going to the modem 10, and thus going to and from interface IFA 22, from and to the networks 26, 28, respectively. Referring to FIGS. 3 and 4, the symbols shown in FIGS. 3 and 4 between IFB 24 and the controller 11 are the symbols used in the standard. The symbols shown in FIGS. 3 and 4 coupled to interface IFB 24 from the networks 26, 28 are related names/symbols because the signals on the networks 26, 28 (sometimes referred to herein as bus 26, 28) are different than those of the standard. (The signals on the bus 26, 28 are modified by the logic IFA 22 and IFB 24 such that the modem 10 and the controller 11 only see the standard signals and signaling sequences). Also shown is digital logic A 23 of IFA 22 and digital logic B 25 of IFB 24, which will be described in further detail hereinunder. Also shown in FIG. 4 is an additional clock line 29 which is essentially the modem-supplied Tx&#39;Clk divided by two (i.e., one-half the frequency or the modem supplied Tx&#39;Clk). 
     The symbols referred to above are defined in table 1, which are basically derived from the 802.4 standard symbols, standing for silence, data, bad signal, preamble, . . . . For example, for a preamble symbol the state of the transmit lines is, TXSYM3 is a (logic) one, TXSYM2 is a zero, TXSYM1 is a logic one, and TXSYMO is a &#34;don&#39;t care&#34; (x=don&#39;t care). This symbol is defined in the 802.4 standard (pad --  idle) and having the letter code P. 
     
                       TABLE 1______________________________________          Transmit (T)                    SYM          or        Bit StateSymbol  Signal       Receive (R) 3   2   1   0______________________________________S       silence      T/R         1   1   1   XD       data (0)     T/R         1   0   0   0D       data (1)     T/R         1   0   0   1B       bad.sub.-- signal                R only      1   0   1   XP       preamble     T only      1   0   1   XN       non.sub.-- data                T/R         1   1   0   XM       modem control                T/R         0   X   X   X______________________________________ 
    
     Regular expression (1) describes the constraints which the IEEE standard places on transmissions from the controller 11 to (and through) the modem 10 to the medium 12. The sequence requirements are the sequences on the 4-bit parallel TXSYM lines (bits 3-0) between IFA 22 and modem 10, and between controller 11 and IFB 24. When the controller 11 communicates directly to the modem (for modem control), only modem-control signals are transmitted following the constraints described by expression (2). 
     
         S.sup.≧1 [(P.sup.8).sup.≧1 [(NND).sup.2 D.sup.2 ](D.sup.8).sup.≧O [(NND).sup.2 D.sup.2 ].sup.1-2 ].sup.≧1 P.sup.≧0 S                                         (1) 
    
     
         S.sup.≧1 [M.sup.Q ].sup.≧1 S                 (2) 
    
     Essentially, expression (1) indicates that the transmissions from the controller 11 to the modem 10 have one or more S symbols followed by the expression in the brackets one or more times, followed by zero or more P symbols, followed by an S symbol. The expression in the brackets, referred to in the IEEE standard as a &#34;frame&#34;, consists first of bytes of preamble (a bit of preamble is a P so a byte of preamble is 8 Ps , thus multiples of B P symbols. The bracket 
     
         [(NND).sup.2 D.sup.2 ] 
    
     includes non-data, non-data, data, non-data, non-data, data, data, data, and is referred to as a frame delimiter. Then data bytes follow (i.e., multiple of 8 data symbols), and to end or abort the frame, another one or two frame delimiters, respectively. 
     The interface A, IFA, 22 including digital logic A 23, and interface B, IFB, 24 including digital logic B 25, insure that the sequence requirement, if met by the individual controllers 11, will be met by the interface 20, which allows multiple controllers to share a modem. A preamble, frame delimiter (or more simply delimiter), data, and delimiter is a frame. A transmission consists of one or more frames back to back, optionally terminated by some amount of preamble (employed here as a postamble). The controllers can be sending data in normal transmission sequences, can be silent expecting to hear data, or can be sending modem control signals. When a controller is in a modem control mode sending modem control signals, the controller expects to receive modem control response signals. When the modem detects an internal fault, the modem transmits a response signal indicating a fault condition. The fault response signal goes to all of the attached controllers, whereas modem control response signals only go to the controller in the modem control mode which is stimulating the modem control response signals, because there are two different functions overlaid on the bus, one being normal communications and the other being modem control. The interface 20 meets the requirements of the bus protocol and modem-controller interface protocol of the standard. 
     Referring to FIG. 5 there is shown a block diagram of the interface A, IFA, 22&#39; which eliminates the modem 10 (i.e., modem eliminator), and thereby substitutes for the modem. The IFA 22&#39; includes digital logic Al 23&#39;, which will be discussed further hereinunder, and an oscillator (OSC) 27. Thus, the controllers 11, CONTA, CONTB, CONTC, . . . can still communicate with one another even though a modem is not present. Similarly, when a modem is present, but the communications system external to the modem and equipment interconnected by an embodiment of the present invention is malfunctioning, that modem can be commanded to operate in a loopback mode identical to that of the previously described &#34;modem eliminator&#34; 22&#39;. 
     The digital logic A 23, and the digital logic Al 23&#39;, in the preferred embodiment of the present invention, are implemented using programmable logic devices (PLDs). The digital logic B 25, in the preferred embodiment of the present invention is implemented using PDLs. The digital logic A 23, digital logic Al 23&#39; and digital logic B 25, denoted as Modem Interface Equations, Modem Eliminator Equations, and TBC Interface Equations, respectively, is given in two forms. (TBC denotes token bus controller 11.) The first form, Appendix A, is in Parallel Boolean Logic form. (Reference the Interface Definitions, Appendix B, and the IFB encoding rules, Appendix C.) The second form is in Boolean logic equations which translates directly to the combinatorial logic, Appendix D. For the modem interface R i  is Rx&#39;Sym i  (where 0≦i≦3), Rx&#39;Sym being the names from the standard, primed (&#39;) to reflect the modem&#39;s signals. 
     In the present invention, there is no explicit arbitration cycle preceding the gating of a transmission from a controller (TBC) 11 to the shared modem 10. The present invention use the properties of the protocol and recodes the symbols that are transmitted for sending data or modem information such that the symbols form sets in which each set is linearly ordered in terms of lines that are asserted. Thus, if two or more IFBs 24 concurrently impress different symbols, then exactly one of those symbols will be received by the IFA 22 and all the IFBs 24 of the interface 20. The recoding orders the transmissible symbols into sets with a strict dominance relationship, such that any combination of concurrently-impressible symbols is exactly equal to one of the impressed symbols. 
     By such a partitioning and structuring, the system does not have to perform contention resolution (it does not have to establish an &#34;owner&#34; for the modem). Rather, every controller trying to send its message drives the bus (in particular, the T-Bus 26) only so long as the controller remains dominant (i.e., its message has priority over another message). If two controllers try to send different messages, one of those messages will be dominant, the controller sending a T-bus symbol with more &#34;one&#34; bits will win and the other controller sending a T-bus symbol with fewer &#34;one&#34; bits will drop out. (In the preferred embodiment, a &#34;one&#34; bit is dominant over a &#34;zero&#34; bit on each line of T-bus 26.) The controller will continue trying to source symbols to its corresponding IFB, but the IFB will stop driving the bus. It will continue to assert the undriven state on the bus (the least dominant symbol being all zeros) until the bus comes back to the idle (all zeros) state. The T-bus 26 of the preferred embodiment of the present invention is a wired--OR bus, although the bus can be any type of an unidirectional drive bus, including a wired--AND bus, with appropriate inversion of the bus symbols. 
     The operation of the IFB occurs in a cycle having two phases, assert and compare. The IFB asserts a symbol on the bus in the first phase and in the second phase compares what it asserted to what is on the T-bus 26. If the result of the compare indicates the signals on the bus are different from what was asserted, the IFB goes into a blocking mode (non-transmitting) and attempts to assert the idle pattern. The IFB continues this mode until the T-bus 26 is all zeros (idle), in which case a compare results; then the IFB can continue sending its information received from the controller. If all the controllers send the same message, they all have &#34;ownership&#34; of the bus. In the present invention it is messages which have priority over other messages when presented simultaneously. 
     There must be time within each transmission period on a bus for the IFB to complete the cycle, i.e., assert and compare. If the bus is too long for the chosen data rate, so that the round trip propagation delay exceeds the time between bits, the system can be modified to compensate for the delay. When the modem&#39;s data rate is low enough, or the maximum separation of the IFA and IFBs, one from another, is small enough that this recoding and dominance-assessment process can cycle at the data rate, and the T bus conveys one symbol per cycle. At higher data rates, or larger IFA and IFB separations, the cycle must occur at a lower frequency, such as a cycle rate of half the data rate. In such a case, the T bus must convey two or more symbols per cycle, necessitating a wider T bus (more parallel lines) and a more complex set of recoding rules. Below there is discussed the explicit coding rules and state machines for the one-symbol-per-cycle and the two-symbols-per-cycle modes of operation. 
     The TBC&#39;s symbols are classified and recoded by the IFB before their attempted transmission of the T bus (reference Table 2). During this process an additional mode shift symbol (M) can be inserted in the encoded symbol stream; either one of the TBC&#39;s &#34;parallel&#34; modem-control symbols or one of its &#34;silence&#34; symbols will be deleted (not recoded) to preserve a 1-1 correspondence between input and output symbols. 
     
                       TABLE 2______________________________________1 Bit-Per-Tbus-Cycle TxSym EncodingAbbre-                 TxSym    symbol                                 T-busviation  802.4-based symbol                  encoding class encoding______________________________________S      Silence         111x     I     0000P      Preamble or Pad.sub.-- idle                  101x     D     1011N      Non.sub.-- data 110x     D     11110      Zero            1000     D     10001      One             1001     D     1001R      Reset           0111     MP    1011L      disable Loopback                  0101     MP    1001E      Enable transmitter                  0011     MP    1000m0     Serial SM zero  0000     MS    1000m1     Serial SM one   0001     MS    1001M      modem control marker                  none     none  1111______________________________________ 
    
     symbols are shown in Table 3. 
     
                       TABLE 3______________________________________1 Bit-Per-TBus-Cycle Dominance Setsset                      class______________________________________{S &lt; P &lt; M}              I{S &lt; 0 &lt; 1 &lt; P &lt; N}      D{S &lt; E &lt; L &lt; R &lt; M}      MP{S &lt; m0 &lt; m1 &lt; M}        MS______________________________________ 
    
     The symbol S, for which the T bus is undriven, is the least element of all sets and represents all of the IFBs which are no longer actively driving the T bus. Tables 4 and 5 also reflect this partitioning into dominance sets. The dominant symbol of those concurrently impressed on the T bus is received by the IFA and all IFBs. The IFBs compare it to the symbol which they are impressing to determine whether or not they were dominant during the preceding T-bus cycle. The IFA tracks the encoding state of the dominant IFB(s) via a four-state finite state machine, and decodes the dominant symbol for presentation to the attached modem based on the current state of the 4-state machine. The IFA&#39;s states are: 
     A-idle--The T bus is idle; Silence is reported to the modem. 
     A-line--The T bus is being used to send MAC (Medium Access Control) symbols through the modem to the connected medium. 
     A-par-mgmt--The T bus is being used to send parallel modem-management symbols to the modem. 
     A ser-mgmt--The T bus is being used to send serial modem-management symbols to the modem. 
     
                       TABLE 4______________________________________1 Bit-Per-TBus-Cycle IFA State Machine    state   T-bus symbol  nextstate name id        classes   coding                                state______________________________________                          reset 00A-idle     00        I         00xx  00                          x1xx  10                          10xx  01A-line     01        D         00xx  00                          all else                                01A-par-mgmt 10        MP        00xx  00                          x111  11                          all else                                10A-ser-mgmt 11        MS        00xx  00                          x111  10                          all else                                11______________________________________ 
    
     The dominant T-bus symbol is decoded based on the state of the IFA&#39;s four-state finite state machine as shown in Table 5. 
     
                       TABLE 5______________________________________1 Bit-Per-TBus-Cycle TBus DecodingTx&#39;Sym CodingT-bus  Idle     Line     Parallel Mgmt                               Serial MgmtCoding State    State    State      State______________________________________0000   1111 S   1111 S   1111 S     1111 S1000            1000 0   0011 E     0000 m01001            1001 1   0101 L     0001 m11011   101x P   101x P   0111 R1111   1111 S   110x N   0001 m1    0001 m1______________________________________ 
    
     Each of the IFBs uses a six-state finite state machine, and a FIFO storing a small number of the TBC&#39;s output symbols, to classify and encode the output of the TBC, to manage the depth of the FIFO, and to determine the encoded symbol to impress on the T bus during the next T-bus cycle. 
     The IFB&#39;s states are: 
     B-idle--The TBC is idle; the T bus is undriven. 
     B-line--The TBC is sending MAC (Medium Access Control) symbols to the modem. 
     B-line-overrun--The TBC is attempting to send MAC symbols to the modem, but the initial part of the transmission was lost due to another TBC&#39;s use of the modem. If the modem becomes available before the TBC&#39;s transmission ceases, then Preamble symbols are sent in lieu of the TBC&#39;s transmission to insure that the TBC&#39;s activity is reflected by activity on the medium. 
     B-par-mgmt--The TBC is sending parallel modem-management symbols to the modem. The initial symbol of this transmission is deliberately discarded. 
     B-ser-mgmt--The TBC is sending serial modem-management symbols to the modem. 
     B-mgmt-overrun--The TBC is attempting to send modem-management symbols to the modem, but the initial part of the transmission was lost due to another TBC&#39;s use of the modem. The remainder of the modem-control transmission is ignored. 
     In the Table 6, the status was --  dominant in the transition conditions reflects whether the T bus matched the state driven by this IFB on the prior cycle (i.e., whether this IFB&#39;s T-bus symbol was dominant on the last cycle). This dominance assessment must be delayed from the assertion of the T-bus state driven by IFB by at least 2*T pd  from the time when the T bus is driven to account for bus propagation delays and clock distribution skew between the various IFBs (where T pd  is the sum of the worst-case one-way end-to-end line driver, line receiver, and propagation delays of the bus). In Table 6, the variable f designates the depth of the FIFO for the next cycle&#39;s encoding operation, whereas TA f  designates the f&#39;th entry in the FIFO (designated herein as TA). The variable T designates the output of the T-bus, and so T:=I indicates that the T-bus is driven with the symbol I (inactive), and is not really driven at all by this IFB. 
     
                                           TABLE 6__________________________________________________________________________IFB State Machine    state                next                            actions takenstate name    id transition condition                         state                            on transition__________________________________________________________________________       reset             0000                            T: = I (undriven); f: = 1B-idle   0000       (class (TA.sub.f) = I)                         0000                            T: = I (undriven); f: = 1       (class (TA.sub.f) = D)*/was.sub.-- dominant                         1001                            T: = I (undriven); f: = 1       (class (TA.sub.f) = Mx)*/was.sub.-- dominant                         1010                            T: = I (undriven); f: = 1       (class (TA.sub.f) = D)*was.sub.-- dominant                         0001                            T: = P; f: = 1       (class (TA.sub.f) = MP)*was.sub.-- dominant                         0010                            T: = M; f = 1       (class (TA.sub.f) = MS)*was.sub.-- dominant                         0010                            T: = M; f: = 2B-line   0001       (class (TA.sub.f) = I)                         0000                            T: = I (undriven); f: = 1       (class (TA.sub.f) = Mx)                         1010                            T: = I (undriven); f: = 1       (class (TA.sub.f) = D)*/was.sub.-- dominant                         1001                            T: = I (undriven); f: = 1       (class (TA.sub.f) = D)*was.sub.-- dominant                         0001                            T: = encode(TA.sub. f)B-line-overrun    1001       (class (TA.sub.f) = I)                         0000                            T: = I (undriven); f: = 1       (class (TA.sub.f) = Mx)                         1010                            T: = I (undriven); f: = 1       (class (TA.sub.f) = D)*/was.sub.-- dominant                         1001                            T: = I (undriven); f: = 1       (class (TA.sub.f) = D)*was.sub.-- dominant                         1001                            T: = P; f: = 1B-par-mgmt    0010       (class (TA.sub.f) = I)                         0000                            T: = I (undriven); f: = 1       (class (TA.sub.f) = D)                         1001                            T: = I (undriven); f: = 1       (class (TA.sub.f) = Mx)*/was.sub.-- dominant                         1010                            T: = I (undriven); f: = 1       (class (TA.sub.f) =  MP)*was.sub.-- dominant                         0010                            T: = encode(TA.sub. f)       (class (TA.sub.f) = MS)*was.sub.-- dominant                         0110                            T: = M; f: = f + 1B-ser-mgmt    0110       (class (TA.sub.f) = I)                         0000                            T: = I (undriven); f: = 1       (class (TA.sub.f) = D)                         1001                            T: = I (undriven); f: = 1       (class (TA.sub.f) = Mx)*/was.sub.-- dominant                         1010                            T: = I (undriven); f: = 1       (class (TA.sub.f) = MP)*was.sub.-- dominant                         0010                            T: = M; f: = 1       (class (TA.sub.f) = MS)*was.sub.-- dominant                         0110                            T: = encode(TA.sub. f)B-mgmt-overrun    1010       (class (TA.sub.f) = I)                         0000                            T: = I (undriven); f: = 1       (class (TA.sub.f) = D)                         1001                            T: = I (undriven); f: = 1       (class (TA.sub.f) = Mx)                         1010                            T: = I (undriven); f: = 1__________________________________________________________________________ 
    
     When the modem&#39;s data rate and the end-to-end propagation delays between the IFA and IFBs, or among the IFBs, require a T-bus cycle time greater than the modem&#39;s symbol period, then more than one bit must be encoded and transmitted each T-bus cycle The IFA state machine of Table 4 and the IFB state machine of Table 5 also function in these cases, although some adaptation may be necessary. The IFA state machine of Table 4 must be adapted to the changed T-bus symbol encoding, after which the serial and parallel management states can be merged. The IFB state machine of Table 6 can function unchanged, but its FIFO now works in symbol pairs, and so must be preceded by additional logic which aligns and pairs the symbols output by the TBC into the pairings shown in Table 7. In essence, symbols destined for I or Mp class pairings are doubled or deleted (ignored) as necessary to form the pairings. Symbols destined for the D or M s  classes are paired from first reception, and any odd terminal symbol can be either doubled or deleted. The TxSym encoding, T-bus dominance sets, T-bus decoding, and IFA state machines for 2 bits-per-T-bus cycle operation are shown in Table 7. The dominance sets of concurrently-impressible symbol pairs are shown in Table 8. 
     
                       TABLE 7______________________________________2 Bits-Per-TBus-Cycle TxSym Encoding              TxSym     sym-Abbre-             encoding  bol    T-busviation  802.4-based symbol pair                  1st    2nd  class                                   encoding______________________________________SS     Silence, Silence                  111x,  111x I    00000PP     Preamble, Preamble                  101x,  101x D    10100NN     Non.sub.-- data, Non.sub.-- data                  110x,  110x D    11111N0     Non.sub.-- data, Zero                  110x,  1000 D    11000N1     Non.sub.-- data, One                  110x,  1001 D    110010N     Zero, Non.sub.-- data                  1000,  110x D    110101N     One, Non.sub.-- data                  1001,  110x D    1101100     Zero, Zero      1000,  1000 D    1000001     Zero, One       1000,  1001 D    1000110     One, Zero       1001,  1000 D    1001111     One, One        1001,  1001 D    10111RR     Reset           0111,  0111 MP   11011LL     disable Loopback                  0101,  0101 MP   11001EE     Enable transmitter                  0011,  0011 MP   11000m0m0   Serial SM zero, zero                  0000,  0000 MS   10000m0m1   Serial SM zero, one                  0000,  0001 MS   10001m1m0   Serial SM one, zero                  0001,  0000 MS   10011m1m1   Serial SM one, one                  0001,  0001 MS   10111MM     modem control marker                  none      M    11111______________________________________ 
    
     
                       TABLE 8______________________________________2 Bits-Per-TBus-Cycle Dominance Setsset                          class______________________________________{SS &lt; PP &lt; MM}               I{SS &lt; PP &lt; NN}               D.sub.0{SS &lt; 00 &lt; 01 &lt; 11 &lt; 10 &lt; NN}                        D.sub.1{SS &lt; 0N &lt; 1N &lt; NN}          D.sub.2{SS &lt; N0 &lt; N1 &lt; NN}          D.sub.3{SS &lt; EE &lt; LL &lt; RR &lt; MM}     MP{SS &lt; m0m0 &lt; m0m1 &lt; m1m1 &lt; m1m0 &lt; MM}                        MS______________________________________ 
    
     The constraints of the 802.4 protocol ensure that when any IFB which is actively driving the T bus chooses a symbol from one D i  set, all other IFBs which are actively driving the T bus either will all chose symbols from the same D i  set, or that one or more will choose the symbol pair NN, which is dominant in all the D i  sets. The symbol pair SS, in which the T bus is undriven, is the least element of all sets and represents all the IFBs which are no longer driving the T bus. Tables 9 and 10 also reflect this partitioning into dominance sets. The dominant symbol pair of those concurrently impressed on the T bus is received by the IFA and all IFBs compare it to the symbol pair which they are impressing to determine whether or not they were dominant during the preceding T bus cycle. The IFA tracks the encoding state (reference Table 9) of the dominant IFB(s) via a three-state finite state machine, and decodes the dominant symbol pair for presentation to the attached modem based on the current state of that 3-state machine. The IFA&#39;s states are: 
     A-idle--the T bus is idle; Silence is reported to the modem. 
     A-line--The T bus is being used to send MAC (Medium Access Control) symbols through the modem to the connected medium. 
     A-mgmt--The T bus is being used to send modem-management symbols to the modem. 
     The dominant T-bus symbol is decoded based on the state of the IFA&#39;s three-state finite state machine as shown in Table 10. 
     
                       TABLE 9______________________________________2 Bits-Per-TBus-Cycle IFA State Machine     state      T-bus symbol  nextstate name  id     classes     coding                                state______________________________________                          reset 00A-idle      001    I           00xxx 00                          x1xxx 10                          10xxx 01A-line      010    D           00xxx 00                          all else                                01A-mgmt      100    M           00xxx 00                          all else                                10______________________________________ 
    
     
                       TABLE 10______________________________________2 Bits-Per-TBus-Cycle TBus DecodingTx&#39;Sym CodingT-bus A-idle State             A-line State A-mgmt StateCoding 1st    2nd      1st  2nd     1st  2nd______________________________________00000 1111,  1111   SS  1111,                        1111 SS   1111,                                       1111 SS10000                   1000,                        1000 00   0000,                                       0000 m0m010001                   1000,                        1001 01   0000,                                       0001 m0m110011                   1001,                        1001 11   0001,                                       0001 m1m110111                   1001,                        1000 10   0001,                                       0000 m1m010100 101x,  101x   PP  101x,                        101x PP11000                   110x,                        1000 N0   0011,                                       0011 EE11001                   110x,                        1001 N1   0101,                                       0101 LL11010                   1000,                        110x 0N11011                   1001,                        110x 1N   0111,                                       0111 RR11111 1111,  1111   SS  110x,                        110x NN   0001,                                       0001 m1m1______________________________________ 
    
     Referring to FIG. 6, there is shown a functional diagram of the encoding of the IFB 24 for the two-bits-per-cycle case. The controller (TBC) 11 is transmitting symbols to a first encoder 40 of the corresponding IFB 24. The symbol that comes from the TBC 11 (4 wide) is encoded by the first encoder 40 into a five-wide symbol, encode-1(Tx), and is stored in a three-deep FIFO 42. The three-deep FIFO 42 is clocked every clock TxClk and is, in the preferred embodiment of the present invention, a shift register. Either the first and second, or the second and third, elements of this FIFO 42, as selected by control logic 43, are recoded in a second encoder 44, the output of the second encoder 44 being coupled to a second FIFO 46 (the second FIFO 46 of the preferred embodiment of the present invention being a three-deep shift register). The second encoder 44 encodes (or recodes) the output of the three-deep FIFO 42 into a 7-bit pair of elements and stores the result therefrom into the second FIFO 46. One of the elements F(0), F(1), or F(2) is chosen by a FIFO control logic unit (FCL) 48 for transmission onto the T-bus 26 via T-bus drivers 49. 
     Every symbol that comes from the TBC 11 is encoded (i.e., classified) and in the process some changes are made. The first level of encoding (via encoder 40) occurs every clock, TxClk. When there is an unspecified bit in the output symbol of the TBC 11, the bit is driven to a known value. Otherwise, the first level of encoding is basically a classification, i.e., serial management, parallel management, silence, or data non-silence. The control logic 43 monitors these recoded symbols, and presents them as pairs (when possible) to the second encoder. The second level of encoding (via second encoder 44) is selectively clocked by TxClk and an enable term from the FIFO control logic unit 48; and any position can be read and outputted. The FCL 48 monitors the first encoder output, in accordance with Table 6, to determine when to activate the second encoder. The symbols are paired by the second level of encoding under control of FCL 48, the encoding being performed in accordance with the information of Appendix C. 
     Referring to FIG. 7, there is shown an alternative embodiment of the present invention, in which a plurality of modems 10 (including a corresponding IFA 22), each having a single independent receiver, is each connected to a corresponding receive bus 28. Each receive bus is connected to a second plurality of controllers 11 via a corresponding IFB 24&#39;. Each IFB 24&#39; includes receiver selection logic (RSL) 31, such that received symbols are presented to the IFB 24&#39; from only one modem at a time. Generally, modems meeting the standard include a locally originated transmit clock. In the embodiment of FIG. 6, a single TClk line 33 is shown. The exact implementation of TClk generation is not relevant to the present invention and will not be discussed further; however, it is to be noted that some method of providing all of the modems 10 with a single common TClk must be employed, a variety of methods being generally well known in the art. 
     While there has been shown what is considered the preferred embodiment of the present invention, it will be manifest that many changes and modifications can be made therein without departing from the essential spirit and scope of the invention. It is intended, therefore, in the annexed claims to cover all such changes and modifications which fall within the true scope of the invention. 
     
                                           APPENDIX A1__________________________________________________________________________1 bit/symbol - Parallel Logical Form of the Interfaces__________________________________________________________________________In the following, the subscript i (symbol bit weight) has the range 0≦ i ≦ 3.Clocks for registered state data are shown in the right-hand__________________________________________________________________________margin.NomenclatureX.sub.a .sub.-.sub.bc is a compact way of writing                  X.sub.a */X.sub.b *X.sub.c/X.sub.a .sub.-.sub.bc is a compact way of writing                  /(X.sub.a */X.sub.b *X.sub.c) = /X.sub.a + X.sub.b                  + /X.sub.cModem Interface EquationsRClk   := Rx&#39;Clkbus clock=modem clockR.sub.i  := Rx&#39;Sym.sub.ibus symbol=modem symbolTClk   := Tx&#39;Clkbus clock=modem clock-register to record T-bus state at end of IFB assertion cycleU.sub.i  := T.sub.i                  ↑TClk-IFA stateK.sub.0  := reset + U .sub.--.sub.32 ↓TClkK.sub.1  := /reset*K.sub.0 *U.sub.3 .sub.- .sub.2 + /reset*K.sub.1 */U  .sub.--.sub.32              ↓TClkK.sub.2  := /reset*K.sub.0 *U.sub.2 + /reset*K.sub.2 */U .sub.--.sub.32 +  /reset*K.sub.3 *U.sub.210   ↓TClkK.sub.3  := /reset*K.sub.3 /U .sub.--.sub.32 + /reset*K.sub.2 *U.sub.210                              ↓TClk-decoded T-bus symbol and IFA output to modemTx&#39;Sym.sub.i   ##STR1##{S}                                ↓Tx&#39;Clk  + (U.sub.3 .sub.-.sub.2 *K.sub.0 + U.sub.3 .sub.-.sub.21 *K.sub.1)*  {1010}.sub.i{P}  + U.sub.32 *K.sub.1 *{1100}.sub.i{N}  + U.sub.3 .sub.--.sub.21 *K.sub.1 *{100|U.sub.0 }.sub.i{0,1}  + U.sub.3 .sub.-.sub.2 *K.sub.2 *{0|U.sub.0 |U  .sub.-.sub.10 |1}.sub. i{E,L,R}  + U.sub.32 *K.sub.2 *{0001}.sub.i{m1}  + U.sub.3 *K.sub.3 *{000|U.sub.0 }.sub.i{m0,m1}Modem Eliminator EquationsRClk   = TClk := local oscillator-register to record T-bus state at end of IFB assertion cycleU.sub.i  := T.sub.i                  ↑TClk-IFA stateK.sub.0  := reset + U .sub.--.sub.32 ↓TClkK.sub.1  := /reset*K.sub.0 *U.sub.3 .sub.-.sub.2 + /reset*K.sub.1 */U  .sub.--.sub.32              ↓TClkK.sub.2  := /reset*K.sub.0 *U.sub.2 + /reset*K.sub.2 */U .sub.--.sub.32 +  /reset*K.sub.3 *U.sub.210   ↓TClkK.sub.3  := /reset*K.sub.3 */U .sub.--.sub.32 + /reset*K.sub.2 *U.sub.210                              ↓TClk-decoded T-bus symbol, recoded for loopback on R-bus; IFA loopback outputto IFBR.sub.i  := (U .sub.- .sub.3 + U.sub.32 *K.sub.0)*{1110}.sub.i{S}                                ↓TClk  + (U.sub.3 .sub.-.sub.2 *K.sub.0 + U.sub.3 .sub.-.sub.21 *K.sub.1)*  {1000}.sub.i{P}    →{0}  + U.sub.32 *K.sub.1 *{1100}.sub.i{N}  + U.sub.3 .sub.-.sub.1 *K.sub.1 *{100|U.sub.0 }.sub.i{0,1}  + U.sub.3 *K.sub.2 *{0|U.sub.2 |U .sub.-.sub.2  |1}.sub.i{E,L,R,m1}  →{ack}  + U.sub.3 *K.sub.3 *{010|U.sub.0 }.sub.i{m0m1} →{nak}__________________________________________________________________________In the following, the subscripts i (symbol bit weight) and k (encodedTx--symbol bitweight) have the ranges 0 ≦ i ≦ 3 and 0 ≦ k ≦5, respectively.Clocks for registered state data are shown in the right--hand__________________________________________________________________________margin.TBC Interface EquationsRxClk  := RClkinverted clock for TBC-IFB T-bus state synchronized for R-bus useJ.sub.1  := I.sub.1synchronizer!!                     ↑RClkJ.sub.3  := I.sub.3 Asynchronizer!!  ↑RClk-IfB output to TBCRxSym.sub.i  := [J.sub.3 .sub.-.sub.1 + J .sub.-.sub.3 *R.sub.2  + R .sub.-.sub.3210 ]*R.sub.i                  ↑RClk  + J.sub.31 */R .sub.-.sub.3210 *{0100}.sub.i + J .sub.-3 *(R  .sub.--.sub.32 + R .sub.--.sub.31 + R .sub.--.sub.30)*{1010}.sub.iTxClk  := TClknon-inverted clock for TBCdTClk  := ////TClkdelayed version of TClk-three-stage shift register holding recoded symbols for possible T-bustransmissionF[0].sub.k  := encode(Tx).sub.k         ↑TxClkF[1].sub.k  := F[0].sub.k               ↑TxClkF[2].sub.k  := F[1] .sub.k              ↑TxClk-control of F[f] &#34;digital delay-line&#34; depth via 2-bit synchronous counterf.clear  := reset+/wd+/F[f].sub.54 +/I .sub.-.sub.31                              ↑dTClkf.inc   ##STR2##                   ↑dTClk-IFB stateI.sub.0  := /reset*F[f] .sub.-.sub.54                              ↑dTClkI.sub.1  := /reset*F[f].sub.5        ↑dTClkI.sub.2  := /reset*F[f].sub.54 *I .sub.-.sub.31                              ↑dTClkI.sub.3  := /reset*/F[f] .sub.--.sub.54 *(I.sub.3 +/wd)                              ↑dTClkI.sub.3 A  := /reset*F[f].sub.5 *(I.sub.3 +/wd)==glitch-freeI.sub.1 *I.sub.3  ↑dTClk    -IFB output to T-busTout.sub.i  := /reset*wd*[(I .sub.--.sub.10 +I.sub.30)*F[f] .sub.-.sub.54  *{1011}.sub.i               ↑dTClk          +  (I .sub.--.sub.10 *F[f].sub.5 + I .sub.--.sub.321          *F[f].sub.54 + I.sub.2 *F[f].sub.5 -.sub.4)*{1111}.sub.i          + (I .sub.-.sub.30 *F[f] .sub.-.sub.54 + I .sub.--.sub.321          *F[f].sub.5 .sub.-.sub.4 + I.sub.2 *F]f].sub.54)*{F[f]}.sub          .i ]-IFB assessment of whether its asserted T-bus symbol was dominantwd     := (T=Tout)                 ↑TClk-classification and recoding of TBC outputencode(Tx).sub.k  :={Tx .sub.-.sub.3,bit 5   ##STR3##bit 4  /Tx.sub.321,bit 3  Tx.sub.32 .sub.-.sub.1,bit 2  Tx .sub.-.sub.321 +Tx.sub.3 .sub.-.sub. 21 +Tx.sub.32 .sub.-.sub.1,bit 1  Tx .sub.--.sub.210 +Tx .sub.-.sub.32 +Tx.sub.3 .sub.-.sub.21  +Tx.sub.32 .sub.-.sub.1 }.sub.kbit 0__________________________________________________________________________ 
    
     
                                           APPENDIX A2__________________________________________________________________________2 bits/symbol--Parallel Logical Form of the Interfaces__________________________________________________________________________In the following, the subscript i and k have the ranges 0 ≦ i≦ 3 (symbol bit weight)and 0 ≦ j ≦ 4 (encoded Tx--symbol bit weight),respectively.Clocks for registered state data are shown in the right--hand__________________________________________________________________________margin.NomenclatureX.sub.a .sub.-.sub.bc is a compact way of writing                    X.sub.a */X.sub.b *X.sub.c/X.sub.a .sub.-.sub.bc is a compact way of writing                    /(X.sub.a */X.sub.b *X.sub.c)=/X.sub.a +X.sub.b                    +/X.sub.cModem Interface EquationsRClk   := Rx&#39;Clkbus clock=modem clockR.sub.i  := Rx&#39;Sym.sub.ibus symbol=modem symbolTClk   := Tx&#39;Clkmodem clockTClk2  := /TClk2half-frequency T--bus clock  ↓TClk-register to record T-bus state at end of IFB assertion cycleU.sub.j  := T.sub.j                      ↑TClk2-IFA stateK.sub.0  := reset + U .sub.-- .sub.43    ↑(TClk*TClk2)K.sub.1  := /reset*K.sub.0 *U.sub.4 .sub.-.sub.3 + /reset*K.sub.1 */U  .sub.--.sub.43                  ↑(TClk*TClk2)K.sub.2  := /reset*K.sub.0 *U.sub.3 + /reset*K.sub.2 */U .sub.--.sub.43                                  ↑(TClk*TClk2)    -decoded T-bus symbol pairW.sub.7-0  := (U .sub.--.sub.43 + U.sub.43 *K.sub.0)*{1110}.sup.2{SS}                                   ↑(TClk*TClk2)  + (U.sub.4 .sub.-.sub.3 *K.sub.0 + U .sub.-.sub.32 .sub.-.sub.1  *K.sub.1)*{1010}.sup.2{PP}  + U.sub.32 *K.sub.1 *{1100}.sup.2{NN}  + U.sub.3 .sub.--.sub.21 *K.sub.1 *{1100}{100|U.sub.0 }{N0,N1}  + U.sub.3 .sub.-.sub.21 *K.sub.1 *{100|U.sub.0 }{1100}{0N,1N}  + U.sub.4 .sub.--.sub.32 *K  .sub.-.sub.0 *{K.sub.1 |00.ve  rtline.U.sub.1 }{K.sub.1 |00|U .sub.-.sub.10 }{00,01,10} and{m0m0,m0m1,m1m0}  + U .sub.-.sub.321 *K .sub.-.sub.0 *{K.sub.1 |001}{K.sub.1   |001}{11} and {m1m1}  + U.sub.3 *K.sub.2 *{0|U .sub.-.sub.20 |U  .sub.--.sub.210 |1}.sup.2{EE,LL,RR}-IFA output to modemTx&#39;Sym.sub.1  := W.sub.4+i *TClk2+W.sub.i */TClk2                                  ↓Tx&#39;ClkModem Eliminator EquationsRClk   = TClk := local oscillatorTClk2  := /TClk2half-frequency T-bus clock  ↓TClk-register to record T-bus state at end of IFB assertion cycleU.sub.j  := T.sub.j                      ↑TClk2-IFA stateK.sub.0  := reset + U .sub.--.sub.43     ↑(TClk*TClk2)K.sub.1  :=  /reset*K.sub.0 *U.sub.4 .sub.-.sub.3 + /reset*K.sub.1 */U  .sub.--.sub.43                  ↑(TClk*TClk2)K.sub.2  := /reset*K.sub.0 *U.sub.3 + /reset*K.sub.2 */U .sub.--.sub.43                                  ↑(TClk*TClk2)-decoded T-bus symbol pair, recoded for loopback on R-busW.sub.7-0  := (U .sub.--.sub.43 + U.sub.43 *K.sub.0)*{1110}.sup.2{SS}                                   ↑(TClk*TClk2)  + (U.sub.4 .sub.-.sub.3 *K.sub.0 + U .sub.-.sub.32 .sub.-.sub.1  *K.sub.1)*{1000}.sup.2  {PP}                      →{00}  + U.sub.32 *K.sub.1 *{1100}.sup.2  {NN}  + U.sub.3 .sub.--.sub.21 *K.sub.1 *{1100}{100|U.sub.0 }  {N0,N1}  + U.sub.3 .sub.-.sub.21 *K.sub.1 *{100|U.sub.0 }{1100}  {0N,1N}  + U.sub.4 .sub.--32 *K.sub.1 *{100|U.sub.1 }{100|  U .sub.-.sub.10 }  {00,01,10}  + U .sub.-.sub.321 *K.sub.1 *{1001}{1001}  {11}  + U.sub.4 .sub.-.sub.3 *K.sub.2 *{0010}  {m0,m1}.sup.2     →{nak}.sup.2  + U.sub.3 *K.sub.2 *{0100}.sup.2  {EE,LL,RR}        →{ack}.sup.2-IFA loopback output to IFBR.sub.i  := W.sub.4+i *TClk2 + W.sub.i */TClk2                                  ↓Tx&#39;Clk__________________________________________________________________________In the following, the subscripts i, j and k have the ranges 0 ≦ i≦ 3 (symbol bitweight), and 0 ≦ j ≦ 4 and 0 ≦ k ≦ 6 (encodedTx--symbol bit weights), respectively.Clocks for registered state data are shown in the right--hand__________________________________________________________________________margin.TBC Interface EquationsRxClk  := /RClkinverted clock for TBC-IFB T-bus state synchronized for R-bus useJ.sub.1  := I.sub.1synchronizer!!                          ↑RClkJ.sub.3  := I.sub.3 Asynchronizer!!  ↑RClk-IFB output to TBCRxSym.sub.i  := [J.sub.3 .sub.-.sub.1 + J .sub.-.sub.3 *R.sub.2  + R .sub.-.sub.3210 ]*R.sub.i                    ↑RClk  + J.sub.31 */R .sub.-.sub.3210 *{0100}.sub.i + J .sub.-.sub.3 *(R  .sub.--.sub.32 +R .sub.--.sub.31 +R .sub.--.sub.30)*{1010}.sub.iTxClk  := TClkclock for TBCTClk2  := TClk2dTClk2 := ////TClk2delayed version of TClk2-three-stage shift register holding slightly-recoded TBC outputD[0].sub.j  := encode.sub.-- 1(Tx).sub.j    ↑TxClkD[1].sub.j  := D[0].sub.j                   ↑TxClkD[2].sub.j  := D[1].sub.j                   ↑TxClk-multiplexer on three-stage shift register output, and its controld      := /reset*/d*D[1].sub.4 *D[0] .sub.-.sub.4 + /reset*d*D[2].sub.4                                  ↑TxClkE.sub.j  := /d•D[0].sub.j +d•D[1].sub.j:= D[d].sub.jE.sub.j+5  := /d•D[1].sub.j +d•D[2].sub.j:= D[d+1].sub.j-three-stage shift register holding recoded symbol pairs for possibleT-bus transmissionF[0].sub.k  := encode.sub.-- 2(E.sub.9-0).sub.k                                  ↑TClk2F[1].sub.k  := F[0].sub.k                   ↑TClk2F[2].sub.k  := F[1].sub.k                   ↑TClk2-control of F[f] &#34;digital delay-line&#34; depth via 2-bit synchronous counterf.clear  := reset+/wd+/F[f].sub.65 +/I .sub.-.sub.31                                  ↑dTClk2f.inc   ##STR4##                       ↑dTClk2-IFB stateI.sub.0  := /reset*F[f] .sub.- .sub.65   ↑dTClk2I.sub.1  := /reset*F[f].sub.6            ↑dTClk2I.sub.2  := /reset*F[f].sub.65 *I .sub.-.sub.31                                  ↑dTClk2I.sub.3  := /reset*F[f] .sub.--.sub.65 *(I.sub.3 +/wd)                                  ↑dTClk2I.sub.3 A  := /reset*F[f].sub.6 *(I.sub.3 +/wd)==glitch-free I.sub.1 *I.sub.3  ↑dTClk2-IFB output to T-busTout.sub.k  := /reset*wd*(I .sub.--.sub.10 +I.sub.30)*F[f] .sub.-.sub.65  *{10100}.sub.k                  ↑dTClk2  + /reset*wd*(I .sub.--.sub.10 *F[f].sub.6 + I .sub.--.sub.321  *F[f].sub.65 + I.sub.2 *F[f].sub.6 .sub.-.sub.5)*{11111}.sub.k  + /reset*wd*(I .sub.-.sub.30 *F[f] .sub.-.sub.65  + I .sub.--.sub.321 *F[f].sub.6 .sub.-.sub.5 + I.sub.2 *F[f].sub.65  )*{F[f]}.sub.k-IFB assessment of whether its asserted T-bus symbol was dominantwd     := (T=Tout)                     ↑TClk2-first-level classification and recoding of TBC outputencode.sub.-- 1(Tx).sub.j  := {Tx .sub.-.sub.32 +Tx .sub.-.sub.31 +Tx.sub.21,bit 4  Tx.sub.3,bit 3  Tx.sub.2,bit 2  Tx.sub.1,bit 1  Tx .sub.-.sub.32 +Tx .sub.-.sub.31 +Tx .sub.--.sub.210 }.sub.jbit 0-second-level recoding of TBC outputencode.sub.-- 2(E).sub.k  := {E .sub.--.sub.98 +E.sub.98,bit 6  E.sub.9,bit 5  /E.sub.876,bit 4  E.sub.9 .sub.-.sub.8 +E .sub.-.sub.987 +E .sub.-.sub.982,bit 3  E .sub.--.sub.9854 +E .sub.-- .sub.9853 +E .sub.--.sub.9850 +E  .sub.-.sub.986 +E .sub.-.sub.9872 +E .sub.-.sub.98 .sub.--.sub.765  .sub.--.sub.210,bit 2  E .sub.--.sub.985 +E.sub.9 .sub.-.sub.876 +E .sub.-.sub.985 +E  .sub.-.sub.982,bit 1  E .sub.--.sub.985 +E .sub.--.sub.984 +E .sub.--.sub.983 +E  .sub.--.sub.980 +E.sub.9 .sub.-.sub.87 +E .sub.-.sub.985 +E  .sub.-.sub.980 +E .sub.-.sub.9872 }.sub.kbit 0__________________________________________________________________________ 
    
     
                                           APPENDIX B__________________________________________________________________________Interface Definitions and Received Symbol Transformation__________________________________________________________________________Interface Definitions 3210S   = 111xsilence    Tx &amp; RxN   = 110xnon.sub.-- data    Tx &amp; RxD d = 100ddata d (where d = 0 or 1)    Tx &amp; RxP   = 101xpad.sub.-- idle (preamble)    Tx onlyB   = 101xbad.sub.-- signal    Rx onlyM   = 0xxxmodem-control signal    Tx &amp; RxR   = 0111station mgmt reset    Tx onlyL   = 0101station mgmt disable loopback    Tx onlyE   = 0011station mgmt enable transmitter    Tx onlym d = 001dserial station mgmt data d    Tx onlyIdle    = 0001station mgmt &#34;mark&#34; (line idle)    Rx onlyAck d    = 001dstation mgmt positive acknowledge, data d    Rx onlyNak d    = 010dstation mgmt negative acknowledge, data d    Rx onlyPLE = 0111modem-detected (physical layer) error    Rx onlyRxClkrising-edge active, setup = 40% of period, hold = 10 nsTxClkrising-edge active, setup = 35% of period, hold = 5 ns__________________________________________________________________________Received Symbol TransformationThe reported receive symbol Rx.sub.i is a function of the received symbolR.sub.i and theinterface&#39;s transmit state and class of the transmit symbol Tx.sub.i :Received   Transmit State and Class of Transmit SymbolSymbol    S-copy    B-padR.sub.i M      M  M        M  all else__________________________________________________________________________M &amp;  PLE   R.sub.i         B   NAK.sub.0                     B   BPLE     R.sub.i         R.sub.i             R.sub.i R.sub.i                         R.sub.i M      R.sub.i         R.sub.i             NAK.sub.0                     R.sub.i                         R.sub.i__________________________________________________________________________ 
    
     
                       APPENDIX C1______________________________________1 Bit/Symbol - IFB Encodingencode(Tx) is defined by the following table:Tx             F[1]    which3210           54 3210 encodes______________________________________0000           11 1000 m00001           11 1001 m10011           10 1000 E0101           10 1001 L0111           10 1011 R1000           01 1000 01001           01 1001 1110x           01 1111 N101x           01 1011 P111x           00 0000 S______________________________________ 
    
     
                       APPENDIX C2______________________________________2 Bits/Symbol - IFB Encoding______________________________________encode.sub.-- 1(Tx) is defined by the following table:Tx             D[0]    which3210           43 210  encodes______________________________________0000           00 000  m00001           00 001  m10011           10 011  E0101           10 101  L0111           10 111  R1000           01 000  01001           01 001  1110x           01 100  N101x           01 010  P111x           11 110  S______________________________________encode.sub.-- 2(E) is defined by the following table:D(d+1)    D(d)43 210    43 210E                     F[0]     which98 765    43 210      65 43210 represents______________________________________00 000    00 000      11 10000 m0,m000 000    00 001      11 10001 m0,m100 000    01 xxx      11 10001 m0,m100 000    1x xxx      11 10001 m0,m100 001    00 000      11 10011 m1,m000 001    00 001      11 10111 m1,m100 001    01 xxx      11 10111 m1,m100 001    1x xxx      11 10111 m1,m110 011    1x xxx      10 11000 E,E10 011    0x xxx      10 11000 E,E10 101    1x xxx      10 11001 L,L10 101    0x xxx      10 11001 L,L10 111    1x xxx      10 11011 R,R10 111    0x xxx      10 11011 R,R01 000    01 000      01 10000 0,001 000    01 001      01 10001 0,101 001    01 000      01 10011 1,001 001    01 001      01 10111 1,101 000    01 100      01 11010 0,N01 001    01 100      01 11011 1,N01 100    01 000      01 11000 N,001 100    01 001      01 11001 N,101 100    01 100      01 11111 N,N01 010    01 010      01 10100 P,P11 110    1x xxx      00 00000 S,S11 110    0x xxx      00 00000 S,S______________________________________ 
    
     
                                           APPENDIX D1__________________________________________________________________________1 bit/symbol - Logical Equation Form of the Interfaces__________________________________________________________________________Modem Interface EquationsInputs: Tx&#39;Clk, Rx&#39;Clk, Rx&#39;Sym.sub.3, Rx&#39;Sym.sub.2, Rx&#39;Sym.sub.1, Rx&#39;Sym.sub.0 ; /T.sub.3, /T.sub.2, /T.sub.1, /T.sub.0Outputs: TClk, RClk, R.sub.3, R.sub.2, R.sub.1, R.sub.0 ; Tx&#39;Sym.sub.3, Tx&#39;Sym.sub.2, Tx&#39;Sym.sub.1, Tx&#39;Sym.sub.0RClk  :=   Rx&#39;Clkbus clock = modem clockR.sub.3 :=   Rx&#39;Sym.sub.3R.sub.2 :=   Rx&#39;Sym.sub.2R.sub.1 :=   Rx&#39;Sym.sub.1R.sub.0 :=   Rx&#39;Sym.sub.0TClk  :=   Tx&#39;Clkbus clock = modem clockregister to record T-bus state at end of IFB assertion cycleU.sub.0 :=   T.sub.0                     ↑TClkU.sub.1 :=   T.sub.1                     ↑TClkU.sub.2 :=   T.sub.2                     ↑TClkU.sub.3 :=   T.sub.3                     ↑TClkIFA stateK.sub.0 :=   reset +  /U.sub.3 ·/U.sub.2                               ↓TClkK.sub.1 :=   /reset·U.sub.3 ·/U.sub.2 ·K.sub.0 +   /reset ·U.sub.3 ·K.sub.1 + /reset   ·U.sub.2 ·K.sub.1                               ↓TClkK.sub.2 :=   /reset·U.sub.2 ·K.sub.0 + /reset   ·U.sub.3 ·K.sub.2 + /reset ·U.sub.2   ·K.sub.2           ↓TClk + /reset ·U.sub.2 ·U.sub.1 ·U.sub.0   ·K.sub.3K.sub.3 :=   /reset ·U.sub.3 ·K.sub.2 + /reset   ·U.sub.2 ·K.sub.2 + /reset ·U.sub.2   ·U.sub.1 ·U.sub.0 ·K.sub.3                               ↓TClkdecoded T-bus symbol; IFA output to modemTx&#39;Sym.sub.0 :=   U.sub.3 ·/U.sub.2 ·/U.sub.1 ·U.sub.0   ·K.sub.1 + U.sub.3 ·K.sub.2 + U.sub.3 ·   U.sub.0 ·K.sub.3   ↓Tx&#39;ClkTx&#39;Sym.sub.1 :=   /U.sub.3 ·/U.sub.2 ·/U.sub.1 ·/U.sub.0   + U.sub.3 ·K.sub.0 + U.sub.3 ·/U.sub.2 .multidot   .U.sub.1 ·K.sub.1  ↓Tx&#39;Clk + U.sub.3 ·/U.sub.2 ·U.sub.1 ·K.sub.2 +   U.sub.3 ·/U.sub.2 ·/U.sub.0 ·K.sub.2Tx&#39;Sym.sub.2 :=   /U.sub.3 ·/U.sub.2 ·/U.sub.1 ·/U.sub.0   + U.sub.3 ·U.sub.2 ·K.sub.0 + U.sub.3 ·   U.sub.2 ·K.sub.1   ↓Tx&#39;Clk + U.sub.3 ·/U.sub.2 ·U.sub.0 ·K.sub.2Tx&#39;Sym.sub.3 :=   /U.sub.3 ·/U.sub.2 ·/U.sub.1 ·/U.sub.0   + U.sub.3 ·K.sub.0 + U.sub.3 ·K.sub.1                               ↓Tx&#39;ClkModem Eliminator EquationsInputs: local clock, /T.sub.3, /T.sub.2, /T.sub.1, /T.sub.0Outputs: TClk, RClk, R.sub.3, R.sub.2, R.sub.1, R.sub.0RClk  = TClk := local oscillatorregister to record T-bus state at end of IFB assertion cycleU.sub.0 :=   T.sub.0                     ↑TClkU.sub.1 :=   T.sub.1                     ↑TClkU.sub.2 :=   T.sub.2                     ↑TClkU.sub.3 :=   T.sub.3                     ↑TClkIFA stateK.sub.0 :=   reset + /U.sub.3 ·/U.sub.2                               ↓TClkK.sub.1 :=   /reset·U.sub.3 ·/U.sub.2 ·K.sub.0 +   /reset ·U.sub.3 ·K.sub.1 + /reset   ·U.sub.2 ·K.sub.1                               ↓TClkK.sub.2 :=   /reset·U.sub.2 ·K.sub.0 + /reset   ·U.sub.3 ·K.sub.2 + /reset ·U.sub.2   ·K.sub.2           ↓TClk + /reset ·U.sub.2 ·U.sub.1 ·U.sub.0   ·K.sub.3K.sub.3 :=   /reset ·U.sub.3 ·K.sub.2 + /reset   ·U.sub.2 ·K.sub.2 + /reset ·U.sub.2   ·U.sub.1 ·U.sub.0 ·K.sub.3                               ↓TClkdecoded T-bus symbol, recoded for loopback on R-bus; IFA loopback outputto IFBR.sub.0 :=   U.sub.3 ·/U.sub.1 ·U.sub.0 ·K.sub.1 +   U.sub.3 ·K.sub.2 + U.sub.3 ·U.sub.0 ·K.   sub.3                       ↓TClkR.sub.1 :=   /U.sub.3 + U.sub.3 ·U.sub.2 ·K.sub.0 + U.sub.3   ·/U.sub.2 ·K.sub.2                               ↓TClkR.sub.2 :=   /U.sub.3 + U.sub.3 ·U.sub.2 + U.sub.3 ·K.sub.3                               ↓TClkR.sub.3 :=   /U.sub.3 + U.sub.3 ·K.sub.0 + U.sub.3 ·K.sub.1                               ↓TClkTBC Interface EquationsInputs: RClk, R.sub.3, R.sub.2, R.sub.1, R.sub.0, I.sub.3 A, I.sub.1Outputs: /RxClk, /RxSym.sub.3, /RxSym.sub.2, /RxSym.sub.1, /RxSym.sub.0RxClk :=   /RClkinverted clock for TBCIFB T-bus state synchronized for R-bus useJ.sub.1 :=   I.sub.1synchronizer!!                      ↑RClkJ.sub.3 :=   I.sub.3 Asynchronizer!! ↑RClkIFB output to TBCRxSym.sub.0 :=   J.sub.3 ·/J.sub.1 ·R.sub.0 + /J.sub.3 ·   R.sub.2 ·R.sub.0 + /R.sub.3 ·R.sub.2 ·R   .sub.1 ·R.sub.0    ↑RClkRxSym.sub.1 :=   J.sub.3 ·/J.sub.1 ·R.sub.1 + /J.sub.3 ·   R.sub.2 ·R.sub.1 + /R.sub.3 ·R.sub.2 ·R   .sub.1 ·R.sub.0    ↑RClk + /J.sub.3 ·/R.sub.3 ·/R.sub.2 + /J.sub.3   ·/R.sub.3 ·/R.sub.1 + /J.sub.3 ·/R.sub.   3 ·/R.sub.0RxSym.sub.2 :=   J.sub.3 ·/J.sub.1 ·R.sub.2 + /J.sub.3 ·   R.sub.2 + /R.sub.3 ·R.sub.2 ·R.sub.1 ·R   .sub.0                      ↑RClk + J.sub.3 ·J.sub.1 ·R.sub.3 + J.sub.3 ·J.   sub.1 ·/R.sub.2 + J.sub.3 ·J.sub.1 ·/R.   sub.1 + J.sub.3 ·J.sub.1 ·/R.sub.0RxSym.sub.3 :=   J.sub.3 ·/J.sub.1 ·R.sub.3 + /J.sub.3 ·   R.sub.3 ·R.sub.2   ↑RClk + /J.sub.3 ·/R.sub.3 ·/R.sub.2 + /J.sub.3   ·/R.sub.3 ·/R.sub.1 + J.sub.3 ·/R.sub.3    ·/R.sub.0Inputs: TClk, /T.sub.3, /T.sub.2, /T.sub.1, /T.sub.0, TxSym.sub.3, TxSym.sub.2, TxSym.sub.1, TxSym.sub.0Outputs: TxClk, /T.sub.3 out, /T.sub.2 out, /T.sub.1 out, /T.sub.0 out, I.sub.3 A, I.sub.1TxClk :=   TClkclock for TBCdTClk :=   ////TClkdelayed version of TClkthree-stage shift register holding recoded symbols for possible T-bustransmissionF[0].sub.0 :=   /Tx.sub.2 ·/Tx.sub.1 ·Tx.sub.0 + /Tx.sub.3   ·Tx.sub.2 + Tx.sub.3 ·/Tx.sub.2 ·Tx.sub   .1 + Tx.sub.3 ·Tx.sub.2 ·/Tx.sub.1                               ↑TClkF[0].sub.1 :=   /Tx.sub. 3 ·Tx.sub.2 ·Tx.sub.1 + Tx.sub.3   ·/Tx.sub.2 ·Tx.sub.1 + Tx.sub.3 ·Tx.sub   .2 ·/Tx.sub.1      ↑TClkF[0].sub.2 :=   Tx.sub.3 ·Tx.sub.2 ·/Tx.sub.1                               ↑TClkF[0].sub.3 :=   /Tx.sub.3 + /Tx.sub.2 + /Tx.sub.1                               ↑TClkF[0].sub.4 :=   /Tx.sub.3 ·/Tx.sub.2 ·/Tx.sub.1 + Tx.sub.3   ·/Tx.sub.2 + Tx.sub.3 ·/Tx.sub.1                               ↑TClkF[0].sub.5 :=   /Tx.sub.3                   ↑TClkF[1].sub.0 :=   F[0].sub.0                  ↑TClkF[1].sub.1 :=   F[0].sub.1                  ↑TClkF[1].sub.2 :=   F[0].sub.2                  ↑TClkF[1].sub.3 :=   F[0].sub.3                  ↑TClkF[1].sub.4 :=   F[0].sub.4                  ↑TClkF[1].sub.5 :=   F[0].sub.5                  ↑TClkF[2].sub.0 :=   F[1].sub.0                  ↑TClkF[2].sub.1 :=   F[1] .sub.1                 ↑TClkF[2].sub.2 :=   F[1].sub.2                  ↑TClkF[2].sub.3 :=   F[1].sub.3                  ↑TClkF[2].sub.4 :=   F[1].sub.4                  ↑TClkF[2].sub.5 :=   F[1].sub.5                  ↑TClkcontrol of F[f] &#34;digital delay-line&#34; depth via 2-bit synchronous counterf.clear :=   reset + /wd + F[f].sub.5 + F[f].sub.4 + I.sub.3                               ↑dTClkf.inc :=   /reset·F[f].sub.5 ·F[f].sub.4 ·/I.sub.2    ·/I.sub.1 ·/I.sub.0                               ↑dTClk + /reset ·F[f].sub.5 ·F[f].sub.4 ·wd +   /reset·F[f].sub.5·F[f].sub.4 ·/I.sub.3   ·/I.sub.2 ·I.sub.1IFB stateI.sub.0 :=   /reset·/F[f].sub.5 ·F[f].sub.4                               ↑dTClkI.sub.1 :=   /reset·F[f].sub.5  ↑dTClkI.sub.2 :=   /reset·F[f].sub.5 ·F[f].sub.4 ·/I.sub.3    ·I.sub.1          ↑dTClkI.sub.3 :=   /reset·(F[f].sub.5 + F[f].sub.4)·(I.sub.3 +   /wd)                        ↑dTClkI.sub.3 A :=   /reset·F[f].sub.5 ·(I.sub.3 + /wd)== glitch-free I.sub.1 · I.sub.3                               ↑dTClkIFB output to T-busS.sub.1 :=   /reset·/I.sub.1 ·/I.sub.0 ·/F[f].sub.5   ·F[f].sub.4 + /reset·I.sub.3 ·I.sub.0 ·/F[f].sub.5   ·F[f].sub.4S.sub.2 :=   /reset·/I.sub.1 ·/I.sub.0 ·F[f].sub.5 + /reset·/I.sub.3 ·/I.sub.2 ·I.sub.1   ·F[f].sub.5 ·F[f].sub.4 + /reset·I.sub.2 ·F[f].sub.5 ·/F[f].sub.4S.sub.3 :=   /reset·/I.sub.3 ·I.sub.0 ·/F[f].sub.5   · F[f].sub.4 + /reset·/I.sub.3 ·/I.sub.2 ·I.sub.1   ·F[f].sub.5 ·/F[f].sub.4 + /reset·I.sub.2 ·F[f].sub.5 ·F[f].sub.4T.sub.0 out :=   wd· ( s.sub.1 + s.sub.2 + s.sub.3 ·F[f].sub.0                               ↑dTClkT.sub.1 out :=   wd· ( s.sub.1 + S.sub.2 + s.sub.3 ·F[f].sub.1                               ↑dTClkT.sub.2 out :=   wd· ( s.sub.2 + s.sub.3 ·F[f].sub.2                               ↑dTClkT.sub.3 out :=   wd· ( s.sub.1 + s.sub.2 + s.sub.3 ·F[f].sub.3                               ↑dTClkIFB assessment of whether its asserted T-bus symbol was dominantwd    :=   (T.sub.0 ·T.sub.0 out + /T.sub.0 ·/T.sub.0   out)                        ↑TClk ·   (T.sub.1 ·T.sub.1 out + /T.sub. 1 ·/T.sub.1   out) ·   (T.sub.2 ·T.sub.2 out + /T.sub.2 ·/T.sub.2 out) ·   (T.sub.3 ·T.sub.3 out + /T.sub.3 ·/T.sub.3__________________________________________________________________________   out) 
    
     
                                           APPENDIX D2__________________________________________________________________________2 bits/symbol - Logical Equation Form of the Interfaces__________________________________________________________________________Modem Interface EquationsInputs:  Tx&#39;Clk, Rx&#39;Clk, Rx&#39;Sym.sub.3, Rx&#39;Sym.sub.2, Rx&#39;Sym.sub.1,  Rx&#39;Sym.sub.0 ; /T.sub.4, /T.sub.3, /T.sub.2, /T.sub.1, /T.sub.0Outputs:  TClk, RClk, R.sub.3, R.sub.2, R.sub.1, R.sub.0 ; Tx&#39;Sym.sub.3,  Tx&#39;Sym.sub.2, Tx&#39;Sym.sub.1, Tx&#39;Sym.sub.0RClk   :=    Rx&#39;Clkbus clock = modem clockR.sub.3  :=    Rx&#39;Sym.sub.3R.sub.2  :=    Rx&#39;Sym.sub.2R.sub.1  :=    Rx&#39;Sym.sub.1R.sub.0  :=    Rx&#39;Sym.sub.0TClk   :=    Tx&#39;Clkmodem clockTClk2  :=    /TClk2half-frequency T-bus clock  ↓TClkregister to record T-bus state at end of IFB assertion cycleU.sub.0  :=    T.sub.0                       ↑TClk2U.sub.1  :=    T.sub.1                       ↑TClk2U.sub.2  :=    T.sub.2                       ↑TClk2U.sub.3  :=    T.sub.3                       ↑TClk2U.sub. 4  :=    T.sub.4                       ↑TClk2IFA stateK.sub.0  :=    reset + /U.sub.4 ·/U.sub.3                                  ↑(TClk * TClk2)K.sub.1  :=    /reset·U.sub.4 ·/U.sub.3 ·K.sub.0 +    /reset ·U.sub.4 ·K.sub.1 + /reset    ·U.sub.3 ·K.sub.1                                  ↑(TClk * TClk2)K.sub.2  :=    /reset·U.sub.3 ·K.sub.0 + /reset    ·U.sub.4 ·K.sub.2 + /reset ·U.sub.3    ·K.sub.2             ↑(TClk * TClk2)decoded T-bus symbol pairW.sub.0  :=    U.sub.3 ·/U.sub.2 ·/U.sub.1 ·U.sub.0    ·K.sub.1 + U.sub.4 ·/U.sub.3 ·/U.sub.2     ·/U.sub.1 ·U.sub.0 ·/K.sub.0                                  ↑(TClk * TClk2)  + /U.sub.3 ·U.sub.2 ·U.sub.1 ·/K.sub.0    + U.sub.3 ·K.sub.2W.sub.4  :=    U.sub.3 ·/U.sub.2 ·U.sub.1 ·U.sub.0    ·K.sub.1 + U.sub.4 ·/U.sub. 3 ·/U.sub.    2 ·U.sub.1 ·/K.sub.0                                  ↑(TClk * TClk2)  + /U.sub.3 ·U.sub.2 ·U.sub.1 ·/K.sub.0    + U.sub.3 ·K.sub.2W.sub.5 := W.sub.1  :=    /U.sub.4 ·/U.sub.3 + U.sub.4 ·K.sub.0 +    /U.sub.3 ·U.sub.2 ·/U.sub.1 ·K.sub.1                                  ↑(TClk * TClk2)  + U.sub.3 ·U.sub.2 ·K.sub.2 + U.sub.3 ·U    .sub.1 ·K.sub.2 + U.sub.3 ·/U.sub.0 ·K    .sub.2W.sub.2  :=    /U.sub.4 ·/U.sub.3 + U.sub.4 ·U.sub.3 .multidot    .K.sub.0 + U.sub.3 ·U.sub.2 ·K.sub.1                                  ↑(TClk * TClk2)  + U.sub.3 ·/U.sub.2 ·U.sub.1 ·K.sub.1 +    U.sub.3 ·/U.sub.2 ·U.sub.0 ·K.sub.2W.sub.6  :=    /U.sub.4 ·/U.sub.3 + U.sub.4 ·U.sub.3 .multidot    .K.sub.0 + U.sub.3 ·U.sub.2 ·K.sub.1                                  ↑(TClk * TClk2)  + U.sub.3 ·/U.sub.2 ·/U.sub.1 ·K.sub.1    + U.sub.3 ·/U.sub.2 ·U.sub.0 ·K.sub.2W.sub.7 := W.sub.3  :=    /U.sub.4 ·/U.sub.3 + U.sub.4 ·K.sub.0 +    /U.sub.3 ·U.sub.2 ·/U.sub.1 ·K.sub.1    + U.sub.3 ·K.sub.1   ↑(TClk * TClk2)  + U.sub.4 ·/U.sub.3 ·/U.sub.2 ·K.sub.1    ·/K.sub.0 + /U.sub.3 ·U.sub.2 ·U.sub.1     ·K.sub.1 ·/K.sub.0IFA output to modemTx&#39;Sym.sub.0  :=    W.sub.4 ·TClk2 + W.sub.0 ·/TClk2                                  ↓Tx&#39;ClkTx&#39;Sym.sub.1  :=    W.sub.5 ·TClk2 + W.sub.1 ·/TClk2                                  ↓Tx&#39;ClkTx&#39;Sym.sub.2  :=    W.sub.6 ·TClk2 + W.sub.2 ·/TClk2                                  ↓Tx&#39;ClkTx&#39;Sym.sub.3  :=    W.sub.7 ·TClk2 + W.sub.3 ·/TClk2                                  ↓Tx&#39;Clk Modem Eliminator EquationsInputs:  local clock, /T4, /T.sub.3, /T.sub.2, /T.sub.1, /T.sub.0Outputs:  TClk, RClk, R.sub.3, R.sub.2, R.sub.1, R.sub.0RClk   = TClk := local oscillatorTClk2  :=    /TClk2half-frequency T-bus clock  ↓TClkregister to record T-bus state at end of IFB assertion cycleU.sub.0  :=    T.sub.0                       ↑TClk2U.sub.1  :=    T.sub.1                       ↑TClk2U.sub.2  :=    T.sub.2                       ↑TClk2U.sub.3  :=    T.sub.3                       ↑TClk2U.sub.4  :=    T.sub.4                       ↑TClk2IFA stateK.sub.0  :=    reset + /U.sub.4 ·/U.sub.3                                  ↑(TClk * TClk2)K.sub.1  :=    /reset·U.sub.4 ·/U.sub.3 ·K.sub.0 +    /reset ·U.sub.4 ·K.sub.1 + /reset    ·U.sub.3 ·K.sub.1                                  ↑(TClk * TClk2)K.sub.2  :=    /reset·U.sub.3 ·K.sub.0 + /reset    ·U.sub.4 ·K.sub.2 + /reset ·U.sub.3    ·K.sub.2             ↑(TClk * TClk2)decoded T-bus symbol pair, recoded for loopback on R-busW.sub.0  :=    U.sub.3 ·/U.sub.2 ·/U.sub.1 ·U.sub.0    ·K.sub.1 + U.sub.4 ·/U.sub.3 ·/U.sub.2     ·/U.sub.1 ·U.sub.0 ·K.sub.1                                  ↑(TClk * TClk2)  + /U.sub.3 ·U.sub.2 ·U.sub.1 ·/K.sub.1W.sub.4  :=    U.sub.3 ·/U.sub.2 ·U.sub.1 ·U.sub.0    ·K.sub.1 + U.sub.4 ·/U.sub.3 ·/U.sub.2     ·U.sub.1 ·K.sub.1                                  ↑(TClk * TClk2)  + /U.sub.3 ·U.sub.2 ·U.sub.1 ·/K.sub.1W.sub.5 := W.sub.1  :=    /U.sub.4 ·/U.sub.3 + U.sub.4 ·/U.sub.3    ·K.sub.2             ↑(TClk * TClk2)W.sub.2  :=    /U.sub.4 ·/U.sub.3 + U.sub.4 ·U.sub.3 .multidot    .K.sub.0 + U.sub.3 ·U.sub.2 ·K.sub.1                                  ↑(TClk * TClk2)  + U.sub.3 ·/U.sub.2 ·U.sub.1 ·K.sub.1 +    U.sub.3 ·K.sub.2W.sub.6  :=    /U.sub.4 ·/U.sub.3 + U.sub.4 ·U.sub.3 .multidot    .K.sub.0 + U.sub.3 ·U.sub.2 ·K.sub.1                                  ↑(TClk * TClk2)  + U.sub.3 ·/U.sub.2 ·/U.sub.1 ·K.sub.1    + U.sub.3 ·K.sub.2W.sub.7 := W.sub.3  :=    /U.sub.4 ·/U.sub.3 + U.sub.4 ·K.sub.0 +    U.sub.3 ·K.sub.1     ↑(TClk * TClk2)  + U.sub.4 ·/U.sub.3 ·/U.sub.2 ·K.sub.1    + /U.sub.3 ·U.sub.2 ·K.sub.1IFA loopback output to IFBR.sub.0  :=    W.sub.4 ·TClk2 + W.sub.0 ·/TClk2                                  ↓Tx&#39;ClkR.sub.1  :=    W.sub.5 ·TClk2 + W.sub.1 ·/TClk2                                  ↓Tx&#39;ClkR.sub.2  :=    W.sub.6 ·TClk2 + W.sub.2 ·/TClk2                                  ↓Tx&#39;ClkR.sub.3  :=    W.sub.7 ·TClk2 + W.sub.3 ·/TClk2                                  ↓Tx&#39;ClkTBC Interface EquationsInputs:  RClk, R.sub.3, R.sub.2, R.sub.1, R.sub.0, I.sub.3 A, I.sub.1Outputs:  /RxClk, /RxSym.sub.3, /RxSym.sub.2, /RxSym.sub.1, /RxSym.sub.0RxClk  :=    /RClkinverted clock for TBCIFB T-bus state synchronized for R-bus useJ.sub.1  :=    I.sub.1synchronizer!!                         ↑RClkJ.sub.3  :=    I.sub.3 Asynchronizer!!  ↑RClkIFB output to TBCRxSym.sub.0  :=    J.sub.3 ·/J.sub.1 ·R.sub.0 + /J.sub.3 .multidot    .R.sub.2 ·R.sub.0 + /R.sub.3 ·R.sub.2 .multidot    .R.sub.1 ·R.sub.0    ↑RClkRxSym.sub.1  :=    J.sub.3 ·/J.sub.1 ·R.sub.1 + /J.sub.3 .multidot    .R.sub.2 ·R.sub.1 + /R.sub.3 ·R.sub.2 .multidot    .R.sub.1 ·R.sub.0    ↑RClk  + /J.sub.3 · /R.sub.3 ·/R.sub.2 + /J.sub.3    ·/R.sub.3 ·/R.sub.1 +/J.sub.3 ·/R.sub.    3 ·/R.sub.0RxSym.sub.2  :=    J.sub.3 ·/J.sub.1 ·R.sub.2 + /J.sub.3 .multidot    .R.sub.2 + /R.sub.3 ·R.sub.2 ·R.sub.1 .multidot    .R.sub.0                      ↑RClk  + J.sub.3 ·J.sub.1 ·R.sub.3 + J.sub.3 ·J    .sub.1 ·/R.sub.2 + J.sub.3 ·J.sub.1 ·/    R.sub.1 + J.sub.3 ·J.sub.1 ·/R.sub.0RxSym.sub.3  :=    J.sub.3 ·/J.sub.1 ·R.sub.3 + /J.sub.3 .multidot    .R.sub.3 ·R.sub.2    ↑RClk  + /J.sub.3 ·/R.sub.3 ·/R.sub.2 + /J.sub.3    ·/R.sub.3 ·/R.sub.1 +/J.sub.3 ·/R.sub.    3 ·/R.sub.0Inputs:  TClk, /T.sub.4, /T.sub.3, /T.sub.2, /T.sub.1, /T.sub.0,  TxSym.sub.3, TxSym.sub.2, TxSym.sub.1, Tx Sym.sub.0Outputs:  TxClk, /T.sub.4 out, /T.sub. 3 out, /T.sub.2 out, /T.sub.1 out,  /T.sub.0 out, I.sub.3 A, I.sub.1TxClk  :=    TClknon-inverted clock for TBCTClk2  :=    TClk2dTClk2 :=    ////TClk2delayed version of TClk2three-stage shift register holding slightly-recoded TBC outputD[1].sub.0  :=    /Tx.sub.3 ·Tx.sub.2 + /Tx.sub.3 ·Tx.sub.1 +    /Tx.sub.2 ·/Tx.sub.1 ·Tx.sub.0                                  ↑TxClkD[1].sub.1  :=    Tx.sub.1                      ↑TxClkD[1].sub.2  :=    Tx.sub.2                      ↑TxClkD[1].sub.3  :=    Tx.sub.3                      ↑TxClkD[1].sub.4  :=    /Tx.sub.3 ·Tx.sub.2 + /Tx.sub.3 ·Tx.sub.1 +    Tx.sub.2 ·Tx.sub.1   ↑TxClkD[2].sub.0  :=    D[1].sub.0                    ↑TxClkD[2].sub.1  :=    D[1].sub.1                    ↑TxClkD[2].sub.2  :=    D[1].sub.2                    ↑TxClkD[2].sub.3  :=    D[1].sub.3                    ↑TxClkD[2].sub.4  :=    D[1].sub.4                    ↑TxClkD[3].sub.0  :=    D[2].sub.0                    ↑TxClkD[3].sub.1  :=    D[2].sub.1                    ↑TxClkD[3].sub.2  :=    D[2].sub.2                    ↑TxClkD[3].sub.3  :=    D[2].sub.3                    ↑TxClkD[3].sub.4  :=    D[2].sub.4                    ↑TxClkmultiplexer on three-stage shift register output, and its controld      :=    /reset·/d ·D[2].sub.4 ·/D[1].sub.4 +    /reset·d ·D[3].sub.4                                  ↑TxClkE.sub.0  :=    /d ·D[1].sub.0 + d ·D[2 ].sub.0E.sub.1  :=    /d ·D[1].sub.1 + d ·D[2 ].sub.1E.sub.2  :=    /d ·D[1].sub.2 + d ·D[2 ].sub.2E.sub.3  :=    /d ·D[1].sub.3 + d ·D[2 ].sub.3E.sub.4  :=    /d ·D[1] .sub.4 + d ·D[2 ].sub.4E.sub.5  :=    /d ·D[2].sub.0 + d ·D[3 ].sub.0E.sub.6  :=    /d ·D[2].sub.1 + d ·D[3 ].sub.1E.sub.7  :=    /d ·D[2].sub.2 + d ·D[3 ].sub.2E.sub.8  :=    /d ·D[2].sub.3 + d ·D[3 ].sub.3E.sub.9  :=    /d ·D[2].sub.4 + d ·D[3 ].sub.4three-stage shift register holding recoded symbol pairs for possibleT-bus transmissionF[0].sub.0  :=    /E.sub.9 ·/E.sub.8 ·E.sub.5 + /E.sub.9    ·/E.sub.8 ·E.sub.4 + /E.sub.9 ·/E.sub.    8 ·E.sub.3 + /E.sub.9 ·/E.sub.8 ·E.sub    .0                            ↑TClk2  + E.sub.9 ·/E.sub.8 ·E.sub.7 + /E.sub.9    ·E.sub.8 ·E.sub.5 + /E.sub.9 ·E.sub.8    ·E.sub.0 + /E.sub.9 ·E.sub.8 ·E.sub.7    ·E.sub.2F[0].sub.1  :=    /E.sub.9 ·/E.sub.8 ·E.sub.5 + E.sub.9 .multidot    ./E.sub.8 ·E.sub.7 ·E.sub.6 + /E.sub.9    ·E.sub.8 ·E.sub.5 + /E.sub.9 ·E.sub.8    ·E.sub.2             ↑TClk2F[0]2  :=    /E.sub.9 ·/E.sub.8 ·E.sub.5 ·E.sub.4    + /E.sub.9 ·/E.sub.8 ·E.sub.5 ·E.sub.4     + /E.sub.9 ·/E.sub.8 ·E.sub.5 ·E.sub.    4                             ↑TClk2  + /E.sub.9 ·E.sub.8 ·E.sub.6 + /E.sub.9 .multidot    .E.sub.8 ·E.sub.7 ·E.sub.2 + /E.sub.9 .multidot    .E.sub.8 ·/E.sub.7 ·/E.sub.6 ·E.sub.5    ·/E.sub.2 ·/E.sub.1 ·E.sub.0F[0].sub.3  :=    E.sub.9 ·/E.sub.8 + /E.sub.9 ·E.sub.8    ·E.sub.7 + /E.sub.9 ·E.sub.8 ·E.sub.2                                  ↑TClk2F[0].sub.4  :=    /E.sub.8 + /E.sub.7 + /E.sub.6                                  ↑TClk2F[0].sub.5  :=    E.sub.9                       ↑TClk2F[0].sub.6  :=    /E.sub.9 ·/E.sub.8 + E.sub.9 ·E.sub.8                                  ↑TClk2F[1].sub.0  :=    F[0].sub.0                    ↑TClk2F[1].sub.1  :=    F[0].sub.1                    ↑TClk2F[1].sub.2  :=    F[0].sub.2                    ↑TClk2F[1].sub.3  :=    F[0].sub.3                    ↑TClk2F[1].sub.4  :=    F[0].sub.4                    ↑TClk2F[1].sub.5  :=    F[0].sub.5                    ↑TClk2F[1].sub.6  :=    F[0].sub.6                    ↑TClk2F[2].sub.0  :=    F[1].sub.0                    ↑TClk2F[2].sub.1  :=    F[1].sub.1                    ↑TClk2F[2].sub.2  :=    F[1].sub.2                    ↑TClk2F[2].sub.3  :=    F[1].sub.3                    ↑TClk2F[ 2].sub.4  :=    F[1].sub.4                    ↑TClk2F[2].sub.5  :=    F[1].sub.5                    ↑TClk2F[2].sub.6  :=    F[1].sub.6                    ↑TClk2control of F[ f ] &#34;digital delay-line&#34; depth via 2-bit synchronouscounter ff.clear  :=    reset + /wd + F[f].sub.6 + F[f].sub.5 + I.sub.3                                  ↑dTClk2f.inc  :=    /reset·F[f].sub.6 ·F[f].sub.5 ·/I.sub.    2 ·/I.sub.1 ·/I.sub.0                                  ↑dTClk2  + /reset·F[f].sub.6 ·F[f].sub.5 ·wd +    /reset·F[f].sub.6 ·F[f].sub.5 ·/I.sub.    3 ·/I.sub.2 ·I.sub.1IFB stateI.sub.0  :=    /reset· /F[f].sub.6 ·F[f].sub.5                                  ↑dTClk2I.sub.1  :=    /reset·F[f].sub.6    ↑dTClk2I.sub.2  :=    /reset·F[f].sub.6 ·F[f].sub.5    ·/I.sub.3 ·I.sub.1                                  ↑dTClk2I.sub.3  :=    /reset·(F[f].sub.6 + F[f].sub.5)·(I.sub.3 +    /wd)                          ↑dTClk2I.sub.3 A  :=    /reset·F[f].sub.6 ·(I.sub.3 + /wd)== glitch-free I.sub.1 · I.sub.3                                  ↑dTClk2IFB output to T-busS.sub.1  :=    /reset·/I.sub.1 ·/I.sub.0 ·/F[f].sub.6     ·F[f].sub.5  + /reset·I.sub.3 ·I.sub.0 ·/F[f].sub.6    ·F[f].sub.5S.sub.2  :=    /reset·/I.sub.1 ·/I.sub.0 ·F[f].sub.6  + /reset·/I.sub.3 ·/I.sub.2 ·I.sub.1    ·F[f].sub.6 ·F[f].sub.5  + /reset·I.sub.2 ·F[f].sub.6 ·/F[f].sub.    5S.sub.3  :=    /reset·/I.sub.3 ·I.sub.0 ·/F[f].sub.6    ·F[f].sub.5  + /reset·/I.sub.3 ·/I.sub. 2 ·I.sub.1    ·F[f].sub.6 ·/F[f].sub.5  + /reset·I.sub.2 ·F[f].sub.6 ·F[f].sub.5T.sub.0 out  :=    wd· ( s.sub.2 + s.sub.3 ·F[f].sub.0                                  ↑dTClk2T.sub.1 out  :=    wd· ( s.sub.2 + s.sub.3 ·F[f].sub.1                                  ↑dTClk2T.sub.2 out  :=    wd· ( s.sub.1 + s.sub.2 + s.sub.3 ·F[f].sub.2    )                             ↑dTClk2T.sub.3 out  :=    wd· ( s.sub.2 + s.sub.3 ·F[f].sub.3                                  ↑dTClk2T.sub.4 out  :=    wd· ( s.sub.1 + s.sub.2 + s.sub.3 ·F[f].sub.4    )                             ↑dTClk2IFB assessment of whether its asserted T-bus symbol was dominantwd     :=    (T.sub.0 ·T.sub.0 out + /T.sub.0 ·/T.sub.0    out)                          ↑TClk2  ·    (T.sub.1 ·T.sub.1 out + /T.sub.1 ·/T.sub.1    out)  ·    (T.sub.2 ·T.sub.2 out + /T.sub.2 ·/T.sub.2    out)  ·    (T.sub.3 ·T.sub.3 out + /T.sub.3 ·/T.sub.3    out)  ·    (T.sub.4 ·T.sub.4 out + /T.sub.4 ·/T.sub.4__________________________________________________________________________    out)