TR-30.2/01-03-002 TR-30.1/01-03-002 ELECTRICAL CHARACTERISTICS OF MULTIPOINT-LOW-VOLTAGE DIFFERENTIAL SIGNALING (M-LVDS) INTERFACE CIRCUITS FOR MULTIPOINT DATA INTERCHANGE SP-4828 March 2001 1 SP-4828 2 SP-4828 ELECTRICAL CHARACTERISTICS OF MULTIPOINT-LOW-VOLTAGE DIFFERENTIAL SIGNALING (M-LVDS) INTERFACE CIRCUITS FOR MULTIPOINT DATA INTERCHANGE Table of Contents 1 SCOPE .................................................................................................................... 1 2 DEFINITIONS, SYMBOLS, AND ABBREVIATIONS ............................................... 1 3 APPLICABILITY ...................................................................................................... 2 3.1 General applicability ...................................................................................................................... 2 3.2 Signaling rate.................................................................................................................................. 4 3.3 Transmission distance .................................................................................................................. 5 4 ELECTRICAL CHARACTERISTICS........................................................................ 5 4.1 4.2 4.3 4.4 5 Driver characteristics..................................................................................................................... 5 Receiver characteristics .............................................................................................................. 12 Interchange input impedance ..................................................................................................... 15 Interconnecting media electrical characteristics ...................................................................... 20 SYSTEM CONSIDERATIONS ............................................................................... 20 5.1 5.2 5.3 5.4 Failsafe operation ........................................................................................................................ 20 Transient protection .................................................................................................................... 21 Signal common (ground) ............................................................................................................. 21 Noise budgeting ........................................................................................................................... 23 ANNEX A (INFORMATIVE) .......................................................................................... 26 A.1 Interconnecting cable .................................................................................................................... 26 A.2 Additional characteristics.............................................................................................................. 26 A.3 Length ............................................................................................................................................. 26 A.4 Typical cable characteristics ........................................................................................................ 26 A.5 Cable length vs. signaling rate guidelines .................................................................................. 28 ANNEX B (INFORMATIVE) .......................................................................................... 30 ANNEX C (INFORMATIVE) .......................................................................................... 33 C.1 Related TIA/EIA standards ............................................................................................................ 34 C.2 Other related interface standards ................................................................................................. 34 ANNEX D (INFORMATIVE) .......................................................................................... 35 List of Figures FIGURE 1 - MULTIPOINT APPLICATION OF M-LVDS INTERFACE CIRCUITS........................................ 3 i SP-4828 FIGURE 2 – TWO-CIRCUIT APPLICATION OF M-LVDS. ........................................................................... 3 FIGURE 3 - MAXIMUM SIGNALING RATE CALCULATION........................................................................ 4 FIGURE 4 – DRIVER OUTPUT VOLTAGE AND CURRENT DEFINITIONS. .............................................. 5 FIGURE 5 - DRIVER OUTPUT SIGNALING SENSE. .................................................................................. 6 FIGURE 6 - DIFFERENTIAL OUTPUT VOLTAGE TEST CIRCUIT. ............................................................ 7 FIGURE 7 - OUTPUT VOLTAGE TEST CIRCUIT........................................................................................ 8 FIGURE 8 - DRIVER OFFSET VOLTAGE TEST CIRCUIT.......................................................................... 8 FIGURE 9 - DRIVER SHORT-CIRCUIT TEST CIRCUIT. ............................................................................ 9 FIGURE 10 - DRIVER OUTPUT SIGNAL WAVEFORM. ........................................................................... 11 FIGURE 11 - DYNAMIC DRIVER OUTPUT BALANCE MEASUREMENT................................................. 12 FIGURE 12 - RECEIVER VOLTAGE AND CURRENT DEFINITIONS. ...................................................... 12 FIGURE 13 - RECEIVER DIFFERENTIAL INPUT VOLTAGE THRESHOLD REQUIREMENTS. ............. 13 FIGURE 14 – TYPE-1 RECEIVER INPUT VOLTAGE RANGE. ................................................................. 14 FIGURE 15 – TYPE-2 RECEIVER INPUT VOLTAGE RANGE. ................................................................. 15 FIGURE 16 - ALLOWED STEADY-STATE INPUT CURRENT VERSUS INPUT VOLTAGE. ................... 16 FIGURE 17 - DIFFERENTIAL INPUT CURRENT TEST. ........................................................................... 17 FIGURE 18 - VOLTAGE AND CURRENT DEFINITIONS FOR TERMINATING INTERCHANGES. ......... 18 FIGURE 19 - OPTIONAL GROUNDING ARRANGEMENT A. ................................................................... 22 FIGURE 20 - OPTIONAL GROUNDING ARRANGEMENT B. ................................................................... 23 FIGURE 21 - OPTIONAL GROUNDING ARRANGEMENT C. ................................................................... 23 FIGURE 22 - SIGNALING RATE VERSUS CABLE LENGTH FOR A 5% EYE-PATTERN JITTER. ......... 29 FIGURE 23 - VOLTAGE RANGES OF DIFFERENTIAL INTERFACE STANDARDS. ............................... 34 List of Tables TABLE 1 - RECEIVER INPUT VOLTAGE THRESHOLD REQUIREMENTS ............................................. 13 TABLE 2 - TYPE-1 RECEIVER NOISE BUDGET EXAMPLE. ................................................................... 24 TABLE 3 - TYPE-2 RECEIVER NOISE BUDGET EXAMPLE. ................................................................... 24 ii SP-4828 FOREWORD (This foreword is not part of this Standard) This Standard was formulated under the cognizance of TIA Subcommittee TR-30.2 on Data Transmission Interfaces. This Standard specifies low-voltage differential signaling drivers and receivers for data interchange across half-duplex or multipoint data bus structures. M-LVDS is capable of operating at signaling rates up to 500 Mb/s. Devices may be designed for signaling rates less than 500 Mb/s, 100 Mb/s for example, when economically or technically required for that application. This Standard was developed in response to a demand from the data communications community for a general-purpose high-speed balanced interface standard for multipoint applications. The voltage levels are specified such that maximum flexibility would be provided, while providing a low-power high-speed differential interface. Driver output characteristics are independent of power supply, and may be designed for standard 5 V, 3.3 V or lower power supplies. The requirements of this standard may be implemented with any integrated circuit technology, such as BiCMOS, CMOS, or GaAs technology. The low-voltage (565-mV typical) swing reduces power dissipation and the potential for radiated emissions. Differential signaling provides multiple benefits over single-ended signaling, notably common-mode rejection and magnetic field cancellation. The electrical signal levels are similar to those described in the TIA/EIA-644 standard, and will interoperate with certain interchange circuits and signaling rates. This Standard includes four informative Annexes. Annex A provides guidelines for application, addressing signaling rate and cable length issues. Annex B covers printedcircuit board guidelines. Annex C provides comparison information with other interface standards and references to this Standard. Annex D provides a derivation of the formula for approximating the bus loading effects. iii SP-4828 1 SCOPE This Standard specifies the electrical characteristics of low-voltage differential signaling interface circuits that may be employed when specified for the interchange of binary signals between equipment sharing a common data interchange circuit. The electrical characteristics of the circuit are specified in terms of required voltage and current values obtained from direct measurements of the driver and receiver components at the multipoint line interface points. The logic function of the driver and the receiver or the communication protocol is not defined by this Standard, as it is application dependent. Optional receiver input characteristics are specified to allow idle-line fail-safe or Wired-or signaling at slower signaling rates. Minimum electrical characteristics of the transmission media and interconnection requirements are provided, where media refers to printed circuit board traces (backplane) or cables. Further guidelines for application of this Standard are provided in the annexes. It is intended that this Standard will be referenced by other standards that specify the complete interface (i.e., connector, pin assignments, function) for applications where the electrical characteristics of a multipoint low-voltage differential interface circuit is required. The referencing standard(s) also specify other characteristics of the interface (such as signal quality, protocol, bus structure, and timing) essential for proper operation across the interface. When this Standard is referenced by other standards or specifications, it should be noted that certain options are available. The author of those standards and specifications must determine and specify those optional features that are required for that application. 2 DEFINITIONS, SYMBOLS, AND ABBREVIATIONS For the purposes of this Standard, the following definitions, symbols, and abbreviations apply: Bus. A bus is a common pathway or channel, between multiple devices. A single MLVDS interchange circuit. Common-mode voltage. The common-mode voltage is equal to one half of the vector sum of the voltages between each conductor of a balanced interchange circuit and ground. The common-mode voltage is the sum of ground potential difference, driver common-mode output voltage (driver offset voltage), and longitudinally coupled noise. Idle line. An idle line is a multipoint line with all drivers off. 1 SP-4828 Inter-symbol interference. Inter-symbol interference is the time displacement of a state transition due to a new wave (subsequent signal) arriving at the receiver site before the previous wave has reached its final value. Jitter. Jitter is the time variation of the instant a binary signal crosses a threshold (state transition) from the ideal occurrence. M-LVDS. Multipoint-Low-Voltage Differential Signaling Multipoint. Multipoint refers to a communications line (network) that provides a path from any one location to one or more. Multipoint line. A multipoint line is a single line that interconnects two or more devices. Point-to-Point. Point-to-point refers to a communications line that provides a unidirectional path from one location to another (point A to point B). Signaling rate. The signaling rate of a line, is the number of transitions (voltage or frequency changes) that are made per second expressed in the units b/s (bits per second). It may be different from the equipment’s data transfer rate, which employs the same units. Transition time. Unless otherwise specified, the transition time is the 10%-to-90% rise or fall time of a binary signal. Unit Interval. The unit interval (UI or tUI) is the mathematical inverse of the signaling rate. *. * (star) represents the opposite input condition for a parameter. For example, the symbol Q represents the receiver output state for one input condition, while Q* represents the output state for the opposite input state. 3 3.1 APPLICABILITY General applicability The provisions of this Standard may be applied to the circuits employed at the interface between equipment where information being conveyed is in the form of binary signals. The interface circuit (shown schematically in Figure 1) consists of a balanced interconnecting media terminated at the ends by transmission-line termination impedance (designated as Zt). There may be as many as thirty-two M-LVDS circuits connected to the media at the interchange points. This Standard specifies the electrical characteristics of the interchange points marked A0, B0, and C0; A1, B1, and C1; and so on. The interconnected circuits may be a driver (output only), receiver (input only), or transceiver (input and output). 2 SP-4828 Balanced Interconnecting Media A0 A1 An Zt Zt B0 B1 Bn Circuit 0 Circuit 1 Circuit n C0 C1 Cn Figure 1 - Multipoint application of M-LVDS interface circuits. Balanced Interconnecting Media A0 Circuit 0 C0 A1 Zt Circuit 1 Zt B0 B1 C1 Figure 2 – Two-circuit application of M-LVDS. The M-LVDS interface is intended for use where any of the following conditions prevail: a) A multipoint LVDS connection is desired. b) The signaling rate is too great for effective unbalanced (single-ended) operation. c) The signaling rate exceeds the capability or system power constraints do not allow use of a TIA/EIA-485 electrical interface. d) The interchange circuit is exposed to noise sources that may cause a voltage of up to ±1 V between circuit commons. e) It is necessary to minimize electromagnetic emissions and interference with other signals or the external environment. 3 SP-4828 3.2 Signaling rate The M-LVDS interface circuit will normally be utilized on data, timing, or control circuits where the signaling rate is up to a maximum limit of 500 Mb/s. This limit is determined by the driver output transition times, the media characteristics, and the distance between the driver and the load. Certain applications may impose a different (lower or higher) limit for the maximum signaling rate. This may be accomplished by specifying a different minimum driver transition time specification, a different percentage of transition time vs. unit interval at the load, or by a different assumption of the maximum balanced interconnecting media signal distortion. The maximum limit is calculated at 500 Mb/s and is derived from a calculation of signal transition time at the load assuming a loss-less balanced interconnecting media. The recommended signal transition time at the load should not exceed 0.5 of the unit interval , which should keep jitter from intersymbol interference to less than 5% of the unit interval. This Standard specifies that the transition time of the driver into a test load be 1 ns or slower. Therefore, with the fastest driver transition time, and a loss-less balanced interconnecting media, and applying the 0.5t UI restriction, yields a minimum unit interval of 2 ns or 500 Mb/s maximum signaling rate (see Figure 3). Loss-less media VZ VX VX tUI 1 ns 1 ns 90% 50% 10% VZ tUI = 2 ns time Figure 3 - Maximum signaling rate calculation. NOTE - 500 Mb/s is the maximum signaling rate for a single line. Employing a parallel multipoint line structure (4, 8, 16, 32, etc.), can easily extend the obtainable data transfer rate into the Gb/s range. Drivers, receivers, and transceivers meeting this Standard need not operate at the maximum signaling rate range specified. They may be designed to operate at lower 4 SP-4828 signaling rates that satisfy specific applications. When a driver is limited to a narrower range of signaling rates, the transition time of the driver may be slowed accordingly to limit noise generation. 3.3 Transmission distance A maximum length of the balanced media is not specified directly but is a function of signal degradation and noise coupling. These, in turn, are functions of the signaling rate, the balanced media characteristics, and the application environment. It is anticipated that maintaining the required 1 V of ground potential separation between MLVDS circuits will be difficult at distances of greater than 100 m. 4 ELECTRICAL CHARACTERISTICS The M-LVDS interface circuit consists of any combination of drivers (D), receivers (R), or transceivers (T) up to a total of thirty-two (32), a balanced interconnecting media, and termination. The following electrical characteristics of the interchange connection of these components will allow electrical compatibility and interchangeability of compliant components. 4.1 Driver characteristics The fundamental characteristic of an M-LVDS driver is the generation of a monotonic first-step differential voltage of at least 100 mV at any A and B interchange connection to the balanced media. Other characteristics that affect system performance are the common-mode output voltage, the maximum differential output voltage, the output impedance, and the output signal wave shape. The requirements that follow define these characteristics in terms of the voltages and currents defined in Figure 4. IA A D IB VAB VA B (VA+VB)/2 VOS VB C Figure 4 – Driver output voltage and current definitions. The signaling sense of the voltages appearing across the driver test load is defined in Figure 5, may differ from that used on the interchange circuit, and is as follows: 5 SP-4828 a. The A terminal of the driver shall be negative with respect to the B terminal for a Low state. b. The A terminal of the driver shall be positive with respect to the B terminal for a High state. c. The outputs of a driver that is neither High or Low shall appear as a high impedance (Off) relative to the load and as specified herein. The differential voltage across the test load will be near zero volts. The logic function of the driver is beyond the scope of this Standard, and therefore is not defined. Low High Low Off VB V VA VAB = VA - VB 0V Figure 5 - Driver output signaling sense. 4.1.1 Differential output voltage, VAB The steady-state magnitude of the differential output voltage (V AB) shall be greater than or equal to 480 mV and less than or equal to 650 mV when measured with the test circuit shown in Figure 6. For the opposite binary state, the polarity of VAB shall be reversed (VAB*). The steady-state magnitude of the difference between V AB and VAB* shall be 50 mV or less. 480 mV < | VAB | < 650 mV 480 mV < | VAB* | < 650 mV | VAB | - | VAB* | < 50 mV 6 SP-4828 A High or Low steady-state logic input 3.32k D 49.9 V B 3.32k + -1 V to VTEST - 3.4 V Note: Resistors are + 1% Measured parameter Figure 6 - Differential output voltage test circuit. The 49.9- resistor in the test circuit of Figure 6 simulates the nominal differential load of the interconnecting media. The 3.32-k resistors represent thirty-two worst-case MLVDS receiver inputs. The test voltage simulates the allowable common-mode voltage. 4.1.2 Output voltages, VOA and VOB To limit the maximum steady-state voltage at any interchange on the M-LVDS line with thirty-two contending drivers, the maximum output voltage must be restricted. In this test, each driver is allocated 1/32 of the current needed to drive the differential load to 2.4 V. The steady-state output voltage between an output terminal of the driver circuit and its common shall be between 0 V and 2.4 V when measured with a load resistor of at least 1.62 k (see Figure 7). 0 V < VOA < 2.4 V 0 V < VOB < 2.4 V 7 SP-4828 A High or Low steady-state logic input D B 1.62 k or greater VO Measured parameter C Figure 7 - Output voltage test circuit. 4.1.3 Offset (common-mode output) voltage, VOS The steady-state magnitude of the driver offset voltage (V OS), measured with the test load of Figure 8, shall be greater than or equal to 0.3 V and less than or equal to 2.1 V for either binary state. The steady-state magnitude of the difference of V OS for one binary state and VOS* for the opposite binary state shall be 50 mV or less. 0.3 V < VOS < 2.1 V 0.3 V < VOS* < 2.1 V | VOS - VOS* | < 50 mV A High or Low Steady-state logic input 24.9 + 1% D B 24.9 + 1% Measured parameter Figure 8 - Driver offset voltage test circuit. 8 + VOS - SP-4828 4.1.4 Short-circuit current, IOS Since an M-LVDS multipoint line allows multiple drivers, the possibility of contention requires a restriction on the power that may be supplied to the interchange. This is accomplished with a maximum allowable current from the driver. The peak magnitude of the driver output current (I OS) shall not exceed 43 mA with an applied voltage from –1 V to 3.4 V and in either binary state (see Figure 9). | IOS | < 43 mA A High or Low steady-state logic input D IOS B Measured parameter -1 V to 3.4 V + VTEST - C Figure 9 - Driver short-circuit test circuit. The driver shall not be damaged by continuous operation in any short-circuit output condition including a differential voltage of zero volts (short circuit). 4.1.5 High-impedance state output currents The output current of a driver that is neither HIGH or LOW shall meet the requirement of 4.3 Interchange input impedance. 4.1.6 Output signal waveform The differential output voltage transition time of a driver determines the maximum signaling rate and stub lengths of an M-LVDS interface. Excessive over and under shoot of the output signal can cause electromagnetic emissions or false logic state changes on the media. During transitions of the driver output between binary states (High-to-Low and Low-toHigh), the differential voltage measured across the 49.9 ± 1% test load shall change monotonically between 0.1 and 0.9 of the steady-state output, VSS. The time for the output voltage to rise between 0.1 and 0.9 or fall between 0.9 and 0.1 of V SS shall be greater than or equal to 1 ns and less than or equal to 0.5 of the minimum unit interval 9 SP-4828 (see Figure 10). standard. The minimum unit interval should be specified in the referencing 1 ns < tr < 0.5 tUI 1 ns < tf < 0.5 tUI NOTE – tUI should allow some time margin for data sampling and be longer than 2 ns. The peak signal voltage on a Low-to-High transition, VPH, shall not be greater than 1.2 VSS. The peak signal voltage on a High-to-Low transition shall not be less than -0.2 VSS. After crossing 0.8 VSS on a Low-to-High transition, the signal shall not go below 0.8 VSS until the next state change occurs. After crossing 0.2 VSS on a High-toLow transition, the signal shall not go above 0.2 VSS until the next state transition. VPH < 1.2 VSS -0.2 VSS < VPL VSS is defined as the voltage summation of the two steady-state values of the driver output (VSS = VAB + VAB*). Measurement fixtures and instrumentation used for compliance testing shall provide a -3 dB bandwidth of 1 GHz minimum. 10 SP-4828 A Alternating logic input (high-to-low and low-to-high VAB D 49.9 + 1% B 1.2Vss Vss 0.9Vss 0.8Vss VAB VPH 0V Differential VAB* tUI 0.2Vss 0.1Vss 0Vss VPL tr tf -0.2Vss Figure 10 - Driver output signal waveform. 4.1.7 Dynamic output signal balance, VOS(PP) A difference in the magnitude of rate at which the voltage changes at the A and B interchange points results in a time-varying common-mode signal. This is a source of electromagnetic emissions from the media and must be constrained. During transitions of the driver output between alternating binary states (High-to-Low and Low-to-High), the peak-to-peak voltage change of the offset voltage (V OS) shall be less than 150 mVP-P (peak-to-peak). VOS(P-P) shall be measured between 24.9 ±1% resistors to circuit common (C) connected as shown in Figure 11. Measurement equipment used for compliance testing shall provide a –3 dB bandwidth of 1 GHz minimum. 11 SP-4828 A Alternating logic input (high-to-low and low-to-high 24.9 D 24.9 Vos B C VOS(PP) < 150 mV Figure 11 - Dynamic driver output balance measurement. 4.2 Receiver characteristics A receiver indicates the logical state of the M-LVDS multipoint line as defined by the differential voltage that exists at the interchange. The differential input voltage that a receiver detects a bus state change is defined as the input threshold voltage. The receiver must detect this difference over the allowable common-mode input voltage range as determined by the driver output offset and ground difference voltages. The requirements that follow define these characteristics in terms of the voltages and currents defined in Figure 12. The logic function of the receiver is beyond the scope of this Standard, and therefore is not defined. IA A VID (VA+VB)/2 VCM R IB VA VB B C Figure 12 - Receiver voltage and current definitions. 4.2.1 Receiver input voltage threshold Two types of differential receivers are specified below. Type 1 receivers include no provisions for failsafe and have their differential input voltage thresholds near zero volts. Type 2 receivers have their differential input voltage thresholds offset from zero volts to 12 SP-4828 detect the absence of voltage difference. Type-1 receivers maximize the differential noise margin and are intended for the highest signaling rates. Type-2 receivers are intended for control signals and slower signaling rates. Both receiver types shall not require a steady-state differential input voltage (VID) of more than the values listed in Table 1 (and shown graphically in Figure 13) to correctly assume the intended binary state. The allowable steady-state input voltages are shown graphically in Figure 14 for Type-1 and Figure 15 for Type-2 receivers. Table 1 - Receiver Input Voltage Threshold Requirements Low Transition Region (undefined) High Type 1 -2.4 V < VID < -0.05 V -0.05 V < VID < 0.05 V 0.05 V < VID < 2.4 V Type 2 -2.4 V < VID < 0.05 V 0.05 V < VID < 0.15 V 0.15 V < VID < 2.4 V Receiver type NOTE – The signaling rate and the minimum differential input signal for timevarying input conditions should be specified by the referencing standard. It is recommended that receivers in compliance with this Standard be designed to detect state transitions at the required rate with a magnitude 50 mV greater than the maximum steady-state input voltage threshold. Type 1 Type 2 High High 2.4 V 150 mV VID 50 mV 0V -50 mV Low Low -2.4 V Transition Region Figure 13 - Receiver differential input voltage threshold requirements. 13 SP-4828 VB VA - VB = -2.4 V 3.8 V Invalid 2.4 V Transition Region -50 mV < VA - VB < 50 mV Low VA - VB = 2.4 V High -1.4 V 3.8 V 0V VA 2.4 V Invalid -1.4 V 0V Figure 14 – Type-1 receiver input voltage range. 14 SP-4828 VB VA - VB = -2.4 V 3.8 V Invalid 2.4 V Transition Region 50 mV < VA - VB < 150 mV Low High VA - VB = 2.4 V -1.4 V 3.8 V 0V VA 2.4 V Invalid -1.4 V 0V Figure 15 – Type-2 receiver input voltage range. 4.2.2 Receiver input current The input current of a receiver shall meet the requirement of 4.3 Interchange input impedance. 4.3 Interchange input impedance The steady-state load presented to an M-LVDS multipoint line by a driver or a transceiver that is Off or a receiver shall meet the following requirements under any operating conditions. These conditions include power cycling of the equipment. All requirements shall be met at the A or B interchange points with respect to the circuit common, C. NOTE - The cycling criteria for equipment power should be specified in the referencing specification or by the manufacturer. 15 SP-4828 4.3.1 Non-terminating interchanges The requirements of this section apply to circuits that do not include the transmission line matching impedance. 4.3.1.1 Steady-state loading, IA and IB The magnitude of the input current shall not exceed 32 A over an input voltage range of –1.4 V to 3.8 V with the other input at 1.2 V (see Figure 16). The magnitude of the input current shall not exceed 20 A over an input voltage range of 0 V to 2.4 V with the other input at 1.2 V. The voltage across a 10 M, or greater, resistance between A and C or B and C shall be between 0 V and 2.4 V. IA or IB IA 32 A A M-LVDS Circuit IB VA VB B 20 A C -1.4 V VA or VB 0V 2.4 V -20 A 3.8 V Allowed operating range -32 A Figure 16 - Allowed steady-state input current versus input voltage. With a differential input voltage (VID) of 0 V, the magnitude of differential current I A – IB shall be less than 4 A over a common-mode input voltage range of –1.4 V to 3.8 V (see Figure 17). 16 SP-4828 IA – IB < 4 A IA A M-LVDS Circuit IB + -1.4 V to 3.8 V B C Figure 17 - Differential input current test. 4.3.1.2 Load with time-varying signals 4.3.1.2.1 Differential input impedance, ZIN The input impedance of an M-LVDS circuit should be large enough that the apparent characteristic impedance of a fully loaded M-LVDS multipoint line segment is greater than 60. Specification of ZIN requires information on the electrical and physical characteristics of the multipoint line. With the minimum distance between interchanges (d), the distributed capacitance of the interconnecting media (C0), and the minimum unit interval (tUI) specified by the referencing standard; the input impedance magnitude of an M-LVDS circuit shall be t UI greater than . (See Annex D for the derivation of this requirement.) ZIN shall 2.5dC0 1 be measured at the AB interchange for any measurement frequency below Hz. t UI Equation 1 - Minimum input impedance of an M-LVDS circuit ZIN tUI 2.5dC 0 NOTE - The interchange includes the connection from the balanced media to the silicon, or stub. A stub that is long with respect to the signal transition time will take on transmission line characteristics. This will make it difficult to maintain sufficiently high input impedance for a useful multipoint line structure. NOTE – Time-Delay Reflectrometry (TDR) is the recommended method for testing of this requirement. The test set up requirements are under study and will be addressed in a future Telecommunication Systems Bulletin (TSB). EXAMPLE - Signaling at 100 Mb/s over 1 meter of twisted-pair cable with a distributed capacitance of 40 pF/m between M-LVDS interchanges, the input impedance requirement would be 17 SP-4828 tUI 2.5dC 0 10 8 . ZIN 2.5 3.1 1 40 10 12 ZIN 32 ZIN If the load is capacitive (as is normally the case), the differential input capacitance 1 would be found by substituting for ZIN at f = 100 MHz and the maximum for j 2fC AB CAB found to be 50 pF. Using 0.1 m of printed-circuit board and 140 pF/m at the same signaling rate yields a maximum differential input capacitance of 17.5 pF. 4.3.1.2.2 Input impedance balance The input impedance magnitudes of an M-LVDS circuit measured at the AC and BC interchanges with the other input at 1.2 V shall be within 1% for any measurement 1 frequency below Hz. t UI NOTE – Time-Delay Reflectrometry (TDR) is the recommended method for testing of this requirement. The test set up requirements are under study and will be addressed in a future Telecommunication Systems Bulletin (TSB). 4.3.2 Terminating interchanges The interchange circuit may provide the transmission line impedance matching termination. When done, the definitions of Figure 18 and the following requirements shall apply. NOTE - The termination impedance may consist of discrete or integrated and active or passive components. The exact structure of the termination impedance is beyond the scope of this Standard. IA A M-LVDS Circuit IB VA VB B C Figure 18 - Voltage and current definitions for terminating interchanges. 18 SP-4828 4.3.2.1 Steady-state loading The magnitude of the input current shall not exceed 64 A over an input voltage range of –1.4 V to 3.8 V with the other input open circuit (> 10 M). The magnitude of the input current shall not exceed 40 A over an input voltage range of 0 V to 2.4 V with the other input open circuit (> 10 M). The voltage across a 10 M, or greater, resistance between A and C or B and C shall be between 0 V and 2.4 V. With a differential input voltage (VID) of 0 V, the magnitude of differential current I A – IB shall be less than 4 A over an input voltage range of –1.4 V to 3.8 V (see Figure 17). The resistance measured between the A and B interchange shall be 99 to 101 with an applied differential voltage of –800 mV to 800 mV and common-mode voltage from -1 V to 3.4 V. EXAMPLE Inputs, Volts VA VB -1.40 -0.60 3.00 3.80 -0.60 -1.40 3.80 3.00 Resulting Voltages VID VCM -0.80 -1.00 -0.80 3.40 0.80 -1.00 0.80 3.40 IA - IB, mA Minimum Maximum -7.92 -8.08 -7.92 -8.08 7.92 8.08 7.92 8.08 4.3.2.2 Load with time-varying signals 4.3.2.2.1 Differential input impedance, ZIN With the minimum unit interval (tUI) specified by the referencing standard; the input impedance magnitude measured between the A and B interchange shall be greater than or equal to 95 and less than or equal to 105 with a measurement frequency of 1 Hz. tUI 95 < ZIN < 105 NOTE – Time-Delay Reflectrometry (TDR) is the recommended method for testing of this requirement. The test set up requirements are under study and will be addressed in a future Telecommunication Systems Bulletin (TSB). NOTE – Signal quality may be improved by reducing ZIN to near the characteristic impedance of the fully loaded bus segment if required by the 19 SP-4828 referencing standard. This is not recommended for buses that will have variable loading characteristics. 4.3.2.2.2 Input impedance balance The input impedance magnitudes of an M-LVDS circuit measured at the AC and BC interchanges with the other input at 1.2 V shall be within 1% for any measurement 1 frequency below Hz. tUI NOTE – Time-Delay Reflectrometry (TDR) is the recommended method for testing of this requirement. The test set up requirements are under study and will be addressed in a future Telecommunication Systems Bulletin (TSB). 4.4 Interconnecting media electrical characteristics The interconnecting media shall consist of paired metallic conductors in any configuration that will meet the following electrical requirements. The actual media is not specified and may be twisted-pair cable, twinaxial cable (parallel pair), flat-ribbon cable, or printed-circuit board (PCB) traces. Annex A to this Standard provides guidance on performance and cable length versus data signaling rate and cable recommendations for typical cable applications. 4.4.1 Characteristic impedance The differential characteristic impedance (Z0) of the unloaded balanced media shall be 100 +/- 10% from 10 MHz to the application signaling rate in Hertz. NOTE – Time-Delay Reflectrometry (TDR) is the recommended method for testing of this requirement. The test set up requirements are under study and will be addressed in a future Telecommunication Systems Bulletin (TSB). 4.4.2 Attenuation The sinusoidal signal loss through the unloaded interconnecting media shall be no more than 6 dB. The measurement frequency shall be with a period of one-half the minimum unit interval specified by the referencing standard. 5 5.1 SYSTEM CONSIDERATIONS Failsafe operation Other standards and specifications using the electrical characteristics of the M-LVDS interface circuit should anticipate events that would remove a valid signal from an interchange. These events may be faults or part of normal operation and may include one or more of the following: 20 SP-4828 1) All drivers are in the Off or high-impedance condition. 2) A receiver becomes disconnected from the interconnecting media. 3) The interconnecting cable becomes open-circuited. 4) The interconnecting cable becomes short-circuited. 5) More than one driver contends for the bus. All of the above conditions may cause the differential input signal to a load to remain within the transition region for an abnormal period. When detection of one or more of the above conditions is required, the following items should be determined and specified: 1) Which interchange circuits require failsafe provisions? 2) What conditions must be detected? 3) What action must be taken when a condition is detected (i.e., the binary state that the receiver assumes)? The system response to failsafe conditions is beyond the scope of this Standard as the logic function of the driver and the receiver or the communication protocol is not defined. The bus states are defined in terms of the electrical characteristics on the bus and not how they are indicated. Type-2 receivers were included as an option to provide a valid bus state indication for signals that are within the transition region of Type-1 receivers. Whether Type-2 receivers or other failsafe provisions are used, their impact on noise margin, system timing, and compliance with all of the requirements of this Standard should be considered. NOTE - It is possible to construct a Wired-Or bus using Type-2 receivers by only allowing driver outputs to be High or Off. When Off, the terminations will pull the difference voltage to near zero volts and a valid bus state for the Type-2 receiver. 5.2 Transient protection It is advisable that there be protection from electrical overstress from electromagnetic or electrostatic transient noise to the M-LVDS interchange. The extent of which should be determined and specified by the application. 5.3 Signal common (ground) Proper operation of the M-LVDS interface circuits requires a signal return path between the equipment along the interconnecting media. The signal common interchange lead C 21 SP-4828 shall be connected to the circuit common which should be connected to protective ground by any of the methods shown in Figure 19, Figure 20, or Figure 21 as required by the specific application. The same configuration need not be used at all interconnections; however, care should be exercised to prevent establishment of ground loops carrying high currents. In configuration A of Figure 19, the circuit common of the equipment is connected to protective ground, at one point only, by a 100 ±20% resistor with a power dissipation rating of 0.5 W. An additional provision may be made for the resistor to be bypassed with a strap to connect circuit common and protective ground directly together when specific installation conditions necessitate. NOTE - Under certain ground fault conditions in configuration A, high ground currents may cause the resistor to fail; therefore, a provision should be made for inspection and replacement of the resistor. Optional shorting strap M-LVDS Circuit 0 100 , ½ W C0 M-LVDS Circuit 1 C1 M-LVDS Circuit n Cn Green- wire ground Protective ground or Frame ground Circuit common or circuit ground Figure 19 - Optional grounding arrangement A. In configuration B of Figure 20 and C of Figure 21, each signal common shall be connected directly (or through a resistor) to protective ground. 22 SP-4828 M-LVDS Circuit 0 GWG M-LVDS Circuit 1 M-LVDS Circuit n GWG GWG C0 C1 Cn Protective ground or Frame ground 100 , ½ W (typical) GWG= Green-wire ground of power system Figure 20 - Optional grounding arrangement B. M-LVDS Circuit 0 GWG M-LVDS Circuit 1 GWG M-LVDS Circuit n GWG C0 C1 Cn Protective ground or Frame ground GWG= Green-wire ground of power system Figure 21 - Optional grounding arrangement C. Some interface applications may require the use of shielded balanced interconnecting media for system electromagnetic compatibility. When employed, the shield should be connected only to frame or protective ground at one point to prevent ground loops. The means of connection of the shield and any associated connector are beyond the scope of this Standard. 5.4 Noise budgeting Drivers that comply with this Standard will generate a differential voltage of at least 480 mV into a 49.9-ohm test load. Receivers that comply with this standard will correctly detect the state of the bus with as little as a 50-mV difference voltage for Type-1 receivers (or 150 mV for Type-2). The difference between the minimum driver differential output voltage and the maximum receiver differential input threshold is the differential signal noise margin. The differential signal noise margin should be allocated to the noise sources expected in an application to assure sufficient signal arrives at the destination and define a valid logic state at any interchange. At the highest signaling rates, it is intended that Type-1 receivers and incident-wave switching is used and presents the most constrained 23 SP-4828 budget. The differential noise contributors considered in the development of this Standard are shown in Table 2 along with a budgeted value. Since each application may uniquely allocate the noise budget, these values can only be used as guidelines. Table 2 - Type-1 receiver differential noise budget example. Signal Noise Source Budget Media characteristic impedance tolerance Minimum Signal Level 48 mV 432 mV 6 mV 426 mV Signal reflection -1.9 dB 342 mV Interconnecting media attenuation -6 dB 171 mV Interchange input imbalance 36 mV 135 mV Input overdrive 50 mV 85 mV Electromagnetic interference 35 mV 50 mV Interchange input offset Maximum Type-1 input voltage threshold 50 mV The maximum differential input voltage threshold of a Type-2 receiver may be as high as 150 mV. This leaves less noise margin to work with than the same system using a Type-2 receiver and will generally require reflected-wave switching and lower signaling rates to achieve a valid voltage difference on the bus. An example is shown in Table 3 with less margin budgeted to signal reflections and input overdrive. Table 3 - Type-2 receiver differential noise budget example. Signal Noise Source Budget Minimum Signal Level Termination impedance tolerance 9 mV 471 mV Interchange input offset 6 mV 465 mV Signal reflection -0.4 dB 442 mV Interconnecting media attenuation -6 dB 221 mV Interchange input imbalance 36 mV 185 mV 0 mV 185 mV 35 mV 150 mV Input overdrive Electromagnetic interference Maximum Type-2 input voltage threshold 150 mV NOTE – It is recommended that Type-2 receiver response time be limited to avoid detecting noise prior to arrival of the reflected wave. 24 SP-4828 Along with the differential signal budget, there is a common-mode signal constraint. An M-LVDS receiver is only required to detect the difference signal with a common-mode input signal from –1 V to 3.4 V. The worst-case common-mode signal on an M-LVDS bus can be 0 V to 2.4 V in the absence of any externally generated noise. This leaves 1 V below and above this range for common-mode noise coupling from external sources. 25 PSP-4828 Annex A (informative) GUIDELINES FOR CABLE APPLICATION A.1 Interconnecting cable The following section provides further information and guidance concerning operational constraints imposed by the cable media characteristics. Generally, if more than one signal transmission line is required for an interface, twisted pairs are necessary to balance coupling reactance between individual conductors of adjacent pairs and thus reduce crosstalk. A.2 Additional characteristics Additional cable characteristics not specified in the Standard that should be considered are: Maximum Propagation Delay, Maximum Propagation Delay Skew, Maximum NearEnd Crosstalk (NEXT), and Maximum Far-End Crosstalk (FEXT). Crosstalk, skew, and related pair balance parameters may impact applications with multiple signal transmission lines. A.3 Length The maximum distance separating the driver and the load is based upon a maximum signal attenuation of 6 dB at a frequency of 1/tUI Hz or a maximum one-way media resistance of 50 in the steady state. The steady-state limit is the upper bound for cable length. Typical values for the resistance of tin-coated copper stranded conductors gives a maximum distance of 225 m for 28 AWG, 388 m for 26 AWG, 612 m for 24 AWG, and 983 m for 22 AWG. A.4 Typical cable characteristics Parallel interface cable The following characteristics apply to common parallel interface cable (as used for TIA/EIA-613, and other I/O interface standards) consisting of 25 twisted pairs surrounded by an overall shield: Parallel cable, physical characteristics Conductor: 28 AWG, 7 strands of 36 AWG, tinned annealed copper, nominal diameter 0.38 mm (0.015 inch) Insulation: Polyethylene or polypropylene; 0.24 mm (0.0095 inch) nominal wall thickness; 0.86 mm (0.034 inch) outside diameter 26 SP-4828 Foil Shield: 0.051 mm (0.002 inch) nominal thickness aluminum or polyester laminated tape helical wrapped around the core Braid Shield: braided 36 AWG, tinned copper with 80% minimum coverage, in electrical contact with the aluminum surface of the foil shield Diameter: nominal overall cable diameter 9.5 mm (0.375 inch) Parallel cable, electrical characteristics DC Resistance: 221 /km (67.5 /1000 feet) Mutual Capacitance: 43 pF/m (13 pF/ft) at 1 kHz Impedance: (characteristic, differential mode) 110 nominal at 50 MHz Propagation Delay: 4.8 ns/m (1.46 ns/ft) Attenuation: 0.28 dB/m (0.085 dB/ft) at 50 MHz Skew: (propagation delay) 0.115 ns/m (0.035 ns/ft) Maximum Crosstalk: (Near End, NEXT) 30 dB at 50 MHz Serial interface cable The following characteristics apply to a common Category 5 serial interface cable (as used for TIA/EIA-422-B, and other I/O interface standards) consisting of 4 unshielded twisted pairs surrounded by an overall jacket: Serial cable, physical characteristics Conductor: 24 AWG, 7 strands of 32 AWG, tinned annealed copper, nominal diameter 0.61 mm (0.024 inch) Insulation: Polyethylene or polypropylene; 0.18 mm (0.007 inch) nominal wall thickness; 0.97 mm (0.038 inch) outside diameter Foil Shield: optional Braid Shield: optional Diameter: nominal overall cable diameter 5.6 mm (0.22 inch) Serial cable, electrical characteristics DC Resistance: 84.2 / km (25.7 /1000 feet) Mutual Capacitance: 48 pF/m (14.5 pF/ft) at 1 kHz 27 SP-4828 Impedance: (characteristic, differential mode) 100 nominal at 50 MHz Propagation Delay: 4.8 ns/m (1.46 ns/ft) Attenuation: 0.17 dB/m (0.051 dB/ft) at 50 MHz Maximum Crosstalk: (Near End, NEXT) 36.8 dB at 50 MHz A.5 Cable length vs. signaling rate guidelines The maximum length of cable separating the driver and the load is primarily constrained by signal distortion and common-mode noise. Some guidelines for predicting signal distortion will be provided but predicting the common-mode noise coupling is impossible. It is recommended that measurement of the common-mode noise be performed at the installation. To determine the maximum signaling rate for a particular cable length the following calculations or testing is recommended (ordered in decreasing accuracy). Eye-pattern measurement – Eye-patterns are recommended to determine the amount of jitter at the load at the application signaling rate and comparing that to system requirements. This testing should be done in the actual application or in a test system that models the actual application as close as possible. The protocol and coding scheme should be reproduced or worst-case data pattern used. Figure 22 shows the signaling rate versus line length for some typical cables in an uncomplicated point-to-point connection and 5% eye-pattern jitter. The eye-pattern jitter was determined by using a pseudo-random code with a run length of 32,768. 28 SP-4828 280 Cable D: CAT 5, braided over-all shield and taped shielded pairs, 0.64 mm 260 Signaling Rate, Mbps 240 Cable C: CAT 5, taped over all shield, 0.52 mm 220 200 180 160 Cable B: CAT 5, no shield, 0.52 mm 140 120 100 0 2 4 6 8 10 12 Distance, meters Figure 22 - Signaling rate versus cable length for a 5% eye-pattern jitter. NOTE – This graph contains a limited range of possible M-LVDS line lengths and signaling rates. Do not interpret it to be the only possible operating points. Signal rise and fall time measurement – Generally a transmission circuit will exhibit less than a 5% eye-pattern jitter if the 10%-to-90% rise time of the signal from the steady state and at the end of the cable is less than one-half of the unit interval. Attenuation at 1/tUI Hz – An interface circuit is generally useful if the sinusoidal attenuation at the application signaling rate in Hertz is less than 6 dB. Steady-state attenuation – An M-LVDS interface circuit is not considered useful if the one-way resistance of the conductor is more than 50 . 29 SP-4828 Annex B (informative) GENERAL PCB GUIDELINES FOR M-LVDS APPLICATIONS B.1 Configurations The M-LVDS standard is very versatile. Many different bus configurations are possible. The exact details of the M-LVDS bus configuration are left up to the referencing standard or application to fully specify. In regards to stub length, two basic bus configurations exist and differ mainly in stub length. These are referred to as T-type and Daisy Chain busses. T-Type. This connection creates a stub of length "L" that includes the connector pins and the trace on the PCB (see Figure 23). It has the advantage of a single connector and supports a hot-plug into an active bus. The limitation of this configuration is the overall stub length (L) tends to be longer than in the case of a Daisy Chain. Connector A0 B0 Stub Length, L M-LVDS Circuit PCB Figure 23 – T-type connection to bus backbone. Daisy Chain. This connection uses a pass through bus to minimize the true stub length. In this case, the connectors and pass-through line are considered part of the main line and not stub (see Figure 24). The actual stub length is the distance from the connection point to the device pins only. The main advantage of this configuration is the short stub length. The major limitations of this configuration are the requirement of two connectors and that a re-configure of the bus breaks the main line halting communication. 30 SP-4828 Connector B0 A0 Stub Length, L M-LVDS Circuit PCB Figure 24 – Daisy-chain bus connection. B.2 Differential Traces Closely coupled differential pairs are recommended for M-LVDS circuits. The close coupling has multiple benefits that enhance system performance. Closely coupled lines tend to have less radiation, and they help to insure that noise picked up is commonmode and not differential in nature. Also having the traces closely coupled tends to keep them in balance and minimizes asymmetrical loading issues. Traces may be edge-coupled or broadside pairs. Differential Impedance. The target media impedance for an M-LVDS circuit is nominally 100 Ohm. This is well suited for a variety of cable constructions and the use of standard dimensions of differential pairs on printed circuit boards. Board stack. Board stack is not specified by this standard and is considered implementation specific. However, a four or greater layer stack up is recommended to provide a solid power and ground system and impedance reference. Fast single-ended signals should be kept away from the M-LVDS pairs or on a different layer to avoid coupling. Stub-Trace Skew. Trace length should be controlled and matched as close as possible. A general guideline is to match electrical length of the lines that compose the pair to within 1 mm (39 mils). Skew between the pair causes a phase difference between these signals and generates increased common-mode modulation and more noise. 31 SP-4828 Feed Through (via). The use of via along the interconnect should be minimized. Give priority to the routing of the high-speed M-LVDS lines. A via structure adds capacitance to the line and reduces the effective impedance which could lower noise margins. Stub Lengths. The stub length is a critical element of the system and should be minimized whenever possible. Locate the interface devices close to the connectors to help minimize the resulting stub length. The goal is to ensure that they act as a lumped element and not as a separate transmission line. Note that the most critical stub length is located closest to the source where the rise time of the signal is the fastest. Termination. Termination is required at the two extreme ends of the bus only. Nominally, it is 100 Ohm across the pair. It may be lower to match the effective differential impedance of certain applications. The termination value should not be less than 60 Ohms. Note that a driver on the bus sees both termination resistors in parallel, thus the nominal bus load is actually 50 Ohms and may be as low as 30 Ohms. Surface mount resistors are recommended due to their compact size and lower parasitics than leaded components. Internal termination is also allowed in the interface devices that are located at the ends of the bus. 32 SP-4828 Annex C (informative) COMPATIBILITY WITH OTHER INTERFACE STANDARDS Compliance to the minimum requirements of this standard will not be ensure interoperability with other differential interface standards such as TIA/EIA-422, TIA/EIA485, or their ITU-T/ISO equivalents. Interoperation with these interfaces may be possible with proper signal conditioning or use of circuits that exceed the minimum requirements of this Standard. Generally, the signal levels of these standards are higher than those of M-LVDS circuits and must be attenuated to levels within the allowed range of operation (see Figure 25). 15 12 12 485 10 10 10 422 5 3.8 M-LVDS 3.8 2.4 VB, volts 644 0 -15 -10 -5 0 0 -1.4 5 -1.4 10 15 -5 -7 -10 -15 VA, volts 33 SP-4828 Figure 25 - Voltage ranges of differential interface standards. Inter-operability also requires detection of the difference signal. The minimum receiver input voltage threshold is 50 mV for a Type-1 M-LVDS receiver, 100 mV for a TIA/EIA644 receiver, and 200 mV for a TIA/EIA-422 or –485 receiver. C.1 Related TIA/EIA standards TIA/EIA-422 Electrical Characteristics of Balanced Voltage Digital Interface Circuits TIA/EIA-485 Standard for Electrical Characteristics of Drivers and Receivers for use in Balanced Digital Multipoint Systems TIA/EIA-644 Electrical Characteristics of Low Voltage Differential Signaling (LVDS) Interface Circuits C.2 Other related interface standards IEEE 1596.3 SCI-LVDS Low Voltage Differential Signals Specifications and Packet Encoding ITU-T (formerly CCITT) Recommendation V.11 Electrical characteristics for balanced double-current interchange circuits for general use with integrated circuit equipment in the field of data communications ISO8482 Information processing systems – Data communication – Twisted pair multipoint interconnections X3.302:1999 SCSI Parallel Interface - 2 (SPI-2) 34 SP-4828 Annex D (informative) BUS LOADING DERIVATION The characteristic impedance of the M-LVDS balanced media is specified (par. 4.4.1) as 100 + 10% [90 to 110 ]. An unloaded M-LVDS bus therefore, appears as a nominal 50- load to a driver circuit (50 = 100 ||100 ). The steady-state magnitude of the differential output voltage (V AB) delivered to this 50- load, is specified (par. 4.1.1) as: 480 mV < VAB < 650 mV. An M-LVDS receiver correctly identifies the input signal (par. 4.2) when a differential voltage of at least 50 mV exists at the receiver input. This receiver threshold allows for a 19.6-dB loss in signal for the lowest driver output voltage [loss = 20 log (0.050/0.480)]. The design of an M-LVDS network must account for all signal losses between a network driver and receiver. The budgeted signal loss allocated to network reflections is –1.9 dB. Signal losses due to network reflections will occur whenever the transmitted signal from a driver encounters a change in impedance of the interconnecting media. The signal loss due to network reflections is calculated as follows: Vloss 20 log( Vtransmit / Vincident ) (1) where Vtransmit is the signal propagated beyond the impedance mismatch and Vincident is the incident voltage signal. Using equation (1) above and setting Vloss equal to –1.9 dB, the ratio of transmitted to incident voltage is found 0.80. When a voltage wave propagates down a transmission line and encounters an impedance mismatch, the transmitted and incident voltage waves are related through equation (2) below: Vtransmit / Vincident (1 ) (2) where is the reflection coefficient, and the reflection coefficient is determined from the following: Z ' Z 0 (3) Z ' Z 0 where Z0 is the characteristic impedance of the incident media and Z’ is the impedance of the secondary media (in this case the loaded impedance of the M-LVDS bus). 35 SP-4828 Using equation (2) to solve for results in = -0.20. Using this in equation (3), and taking the characteristic impedance of the balanced transmission line at its minimum value of 90 , results in a limitation that Z’ be greater than 60 . With this value of Z’ 60 , the effective loading of the M-LVDS bus by transceivers can now be determined. If the M-LVDS bus is evenly loaded with capacitive loads of CL F, and that a uniform spacing of d cm exists between loads, the effective impedance of a loaded bus can be calculated. Recalling that the characteristic impedance of a lossless line is given as shown below: L0 (4) C0 Z0 where L0 is the inductance per unit length (H/cm) and C0 is the capacitance per unit length (F/cm) Then the characteristic impedance of the loaded line can be calculated by noting that the capacitive loading effectively changes the capacitance per unit length to C ' eff C 0 CL (5) d which leads to Z' L0 C 0 CL d Z0 1 (6) 1 CL C 0d Squaring both sides of equation (6), rearranging terms, and setting Z ’ = 60 , Z0 = 90 , leads to CL 1.25dC0 (7) Limiting the effective distributed capacitance presented by the bus loads to the value given in equation (7) allows one to calculate the effective impedance of each transceiver. Allowing UI to represent the minimum unit interval at the signaling rate, the impedance of a purely capacitive load is given below: Z min 1 (8) jCL and taking the magnitude of this impedance leads to 36 SP-4828 | Z min | 1 UI (9) 2f 1.25dC 0 2.5dC 0 where UI=1/f has been used. 37