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Title: Differential Signaling


1
Differential Signaling
  • Introduction
  • Reading Chapter 6

2
Agenda
  • Differential Signaling Definition
  • Voltage Parameters
  • Common mode parameters
  • Differential mode parameters
  • Current mode logic (CML) buffer
  • Relate to parameters
  • Modeling simulation
  • Timing parameters
  • Clock recovery
  • Embedded clock
  • AC coupling
  • Common mode response
  • Issues with simulation
  • 8B10B encoding
  • DC balanced codes
  • Duty Cycle distortion
  • Cycle

3
Single Ended Signaling
  • All electrical signal circuits require a loop or
    return path.
  • Single ended signal subject several means of
    distortions and noise.
  • Ground or reference may move due to switching
    currents (SSO noise). We touched on this in the
    ground conundrum class.
  • A single ended receiver only cares about a
    voltage that is referenced to its own ground.
  • Electromagnetic interference can impose voltage
    on a single ended signal.
  • Signal passing from one board to another are
    subject to the local ground disturbance.
  • We can counteract many of these effect by adding
    more ground.
  • As frequencies increase beyond 1GHz, 80 of the
    signal will be lost.

4
Review of threshold sensitivity
Tx
  • The wave is referenced to either Vcc or Vss.
    Consequently the effective DC value of the wave
    will be tied to one of these rails.
  • The wave is attenuated around the effective DC
    component of the waveform, but the reference does
    not change accordingly. Hence the clock trigger
    point between various clock load points is very
    sensitive to distortion and attenuation.

5
Differential Signaling
  • Any signal can be considered a loop is completed
    by two wires.
  • One of the wires in single ended signaling is
    the ground plane
  • Differential signaling uses two conductors
  • The transmitter translates the single input
    signal into a pair
  • of outputs that are driven 180 out of phase.
  • The receiver, a differential amplifier, recovers
    the signal as the difference in the voltages on
    the two lines.
  • Advantages of differential signaling can be
    summed up as follows
  • Differential Signaling is not sensitive to SSO
    noise.
  • A differential receiver is tolerant of its ground
    moving around.
  • If each wire of pair is on close proximity of
    one and other. electromagnetic interference
    imposes the same voltage on both signals. The
    difference cancels out the effect.
  • Since the AC currents in the wires are equal
    but opposite and proximal, radiated EMI is
    reduced.
  • Signals passing from one board to another are not
    subject to the local ground disturbances.
  • As frequencies increase beyond 1GHz, up to 80 of
    the signal may be lost, but difference still
    crosses 0 volts.
  • There are still loss issues for differential
    signaling but only come into play in high loss
    system. Most single ended systems assume
    approximately 15 channel loss.

6
Differential Signaling - Cons
  • The cost is doubling the signal wires, but this
    may not be so bad as compared to adding grounds
    to improve single ended signaling.
  • Routing constraint Pair signals need to be
    routed together.
  • Differential signal have certain symmetry
    requirements that may pose routing challenges.

7
Differential Signal Parameters
Line 1
Line 2
Reference
  • Voltage on line 1 a
  • Voltage on line 2 b
  • Differential voltage d a-b
  • Common mode voltage c (ab)/2
  • Odd mode signal, o (a-b)/2
  • Even mode signal, e (ab)/2
  • Signal on line 1 a eo
  • Signal on line 2 b e-o
  • Useful relations o d/2 e c

8
Propagation Terms to Consider
  • Differential mode propagation
  • Common mode propagation
  • Single ended mode (uncoupled) propagation
  • This is when the other line is not driven but
    terminated to absorbed reflections.
  • Transmission line matrixes will reflect these
    modes.

9
Differential Microstrip Example
SE single ended uncoupled
10
Differential Impedance
  • Coupling between lines in a pair always decreases
    differential impedance
  • Differential impedance is always less that 2
    times the uncoupled impedance
  • Differential impedance of uncoupled lines is 2
    times the uncoupled impedance.

11
Propagation Velocities
  • For TEM structures, (striplines)
  • Differential mode, Common Mode, and single ended
    velocities are the same
  • For Non TEM and Quasi-TEM structures (microstrip)
  • Differential mode, Common Mode, and single ended
    velocities and impedances are not the same.
  • Common mode can be converted to differential mode
    at a receiver and result in a differential signal
    disturbance.

12
Example of Common Mode
  • Line 1 and line 2 have the same DC offset.
  • This is DC common mode.
  • It can be defined as an average DC for time
    duration of many UI cycles value as well.
  • Line1 and line 2 have the same AC offset
  • This is AC common mode
  • AC common mode also result from time differences
    (skew) between signal on line 1 and line 2. This
    can result in AC common mode and differential
    signal loss.
  • The following slide will be used to clarify the
    above

13
Differential Signaling Basics
  • For long channels, at GHz frequencies, signal
    tend look like sine waves.
  • The artificial offset common to line 1 and 2 has
    an average of 1 and varies around that average by
    /-0.1 in a period manor.

14
Individual signals
  • Devices need to have enough common mode dynamic
    voltage range to receive or transmit the
    waveforms. In this case the signals swing between
    -0.1 and 2.1.
  • The sine wave amplitude is 1 and peak to peak is
    2.
  • Signal a and b is what would be observed with 2
    oscilloscope probes

15
Differential Mode Signal
  • The differential amplitude is 2 and peak to peak
    is 4 which is 2 times the individual signal peak
    to peak amplitude.
  • Notice the distortions are gone.

16
Common Mode Signal
  • The DC common mode signal is 1
  • The AC common mode signal is .2 v peak to peak
  • Some may specifications may call this 0.1 v peak
    from the DC average
  • We will add this common mode to the signals a
    and b

17
Add 150 ps skew to signal b
  • Waveforms do not look so good.
  • We even have what appears to be non-monotonic
    behavior.

18
Differential signal looks OK
  • However we lost differential signal amplitude.
  • It used to be 4 peak to peak and now is 3.562.

19
Common mode measurements are different
  • Average is still 1. Peak to peak is 0.944 but
    peak is 0.504
  • AC common mode signals can be converted to
    differential

20
PWB structures that introduce Skew
21
Bends introduce skew
Back to back bendscompensate for skew from
frequencies below 2 GHz.
Back to back bendscompensate for skew from
frequencies below 2 GHz.
22
More Terms Balanced and Unbalanced
  • Good Agilent Technologies article on balance and
    unbalanced signaling
  • http//we.home.agilent.com/upload/cmc_upload/tmo/d
    ownloads/EPSG084733.pdf
  • Unbalanced signaling in reference to ground
  • Balanced signaling is referenced only to the
    other port terminal.
  • If each channel is identical, then this suggests
    a virtual AC ground between the two terminals. It
    is often useful to allow this AC ground to be a
    DC voltage to biasing devices.

23
Ethernet 10/100BASE-T example
Filter
Transformer
50 W
50 W
50 W
50 W
Common-mode choke
Balanced
Unbalanced
24
Low Voltage Differential Signaling LVDS
  • 200MHz 500 MHz Range
  • Published by IEEE in 1995
  • Lacks robustness for GHz Signaling
  • Well suite distributing system clocks
  • Good noise margin
  • Common mode impedance has wide range provide
    buffer design flexibility
  • Differential impedance is optimize around 100 W
  • Differential receiver switching thresholds are
    tighter than for single ended logic.
  • Most device require external termination and bias
    resistors
  • Does not have capacitance or package spec. This
    severely limits GHz operation

25
Current Mode Logic
  • Emerging technology
  • No real spec yet but can infer operation from
    specs like PCI Express , Infiniband, USB,
    SATA, etc.
  • Tx and Rx lines are separate
  • The Tx driver steers current between the
    differential terminals
  • AC coupling between Tx and Rx with a series
    capacitor provides common mode design flexibility
  • Termination is in buffers. This may require
    compensation or a band gap reference to insure a
    tight resistance range.

26
Example of Simple CML Differential Behavioral
Circuit
This exponent determines wave shape
Vcc
Balance between for FET switch
I_source
Positive Terminal
This switch time offset
Negative Terminal
r_termn, C_term
r_termp, C_term
2nd lecture
Vss
27
Example of Sensitivities I, balance, C
More prominent for faster edges
28
Example of Sensitivities Slew, Skew, R
R/F slew
/skew
29
Serial Differential
  • GHz transmission will have many UIs of data in
    transit on the interconnect at any points in
    time.
  • Hence it becomes useful to think of this as
    serial data transmission.
  • Often multiple single channels are ganged in
    parallel to achieve even higher data throughput.

30
AC coupling issues
  • Series capacitors can build up charge difference
    between differential terminals for the following
    reasons.
  • Unequal numbers of zero and ones
  • Duty cycle (UI) distortion.
  • The solution is to use a data code that is DC
    balanced.
  • 8B10B (8 bit 10 bit) with disparity is one such
    code
  • Tight UI control is a basic requirement for
    keeping the signal eye open

31
Eye Diagram
  • The eye diagram is a convenient way to represent
    what a receiver will see as well as specifying
    characteristics of a transmitter.
  • The eye diagram maps all UI intervals on top of
    one and other.
  • The opening in eye diagram is measure of signal
    quality.
  • This is the simplest type of eye diagram. The are
    other form which we will discuss later

Eye Diagram
32
Creating eye diagram
  • Plot periodic voltage time ramps (saw tooth
    waves) on x verses the voltage wave on Y.
  • Can be done with Avanwaves expression calculator
    and can be saved in a configuration file.

33
Create ramp with expression builder
Start of relative eye position
Time of eye start
Unit Interval
34
Copy Ramp to X Axis
  • Use middle button to drag ramp to Current X-Axis

35
Voltage and period volt-time ramp
36
Clocking
  • The one thing omitted in the suggests in the
    previous slides on eye diagrams was the chop
    frequency.
  • We assumed it was UI. This is simple for
    simulation. Time marches along and all signals
    start out synchronized in time. This is not true
    for real measurement since edges will
    significantly jitter and make it difficult to
    determinate where the exact UI is positioned.
  • Presently, there are basically two forms of GHz
    clocking
  • Embedded clocking
  • Forwarded clocking

37
Embedded clocking
  • This what is used in Fiber Channel, Gigabit
    Ethernet, PCI Express, Infiniband, SATA, USB,
    etc.
  • The clock is extracted from the data
  • There is requirement that data transitions are at
    a minimum rate. 8B/10B guarantees this. We
    discuss this in more detail later.
  • A phase interpolator is normally used to extract
    the clock from the data. We discussed the phase
    interpolator in the clocking class. The phase
    interpolator is tied to the PCI Express-like
    jitter spec Median and Jitter outlier.

38
Jitter Median and Outlier Spec
  • Eye opening is defined from a stable UI.
  • Jitter median used to determine a stable UI
  • It is used as a reference to determine eye
    opening
  • Jitter Outlier is used to guarantee limits of
    operation

UI
Jitter outlier
Jitter Median
Eye diagram
39
Forwarded Clocking
  • The Tx clock is sourced and received down stream.
    The clock is a Tx data buffer synchronized with
    the Tx data bits.
  • A synchronization or training sequence on a data
    line is used to adjust the receiver clock so that
    it is in phase synchronization with the data.
  • The caveat is that the actual data clock lags the
    real data by a few cycles.
  • The whole idea is that the jitter introduced over
    these cycles would be smaller than the jitter
    associated with two the PLLs used to provide base
    clocks for an embedded clock design.

40
Aspects of AC coupling
  • We will explore issues with AC coupling with a
    simulation example.
  • First we will create a simple CML differential
    model
  • Next we will tie it to a differential
    transmission line and a terminator.
  • Assignment 7 is to reproduce these effects with a
    HSPICE program. The output Avanwaves with a power
    point story summary what you will hand in.
  • The basis for our work will be last semesters
    testckt.sp deck

41
Behavioral Data Model Example
3rd lecture
12 bit of repeating data010101 001001 v(t) data
UI 500 psTrTf100ps
Wave shape
Rterm50 Cterm0.25pf
Vswing 800 mV
IVswing/(5050)/2
Refer to first course
42
AC coupled Differential Circuit
AC coupling caps are normally larger, but are
scaled down to illustrate common mode effects
0 to 1V
43
Top Level HSPICE CODE
Modified
Convenience
44
No initial conditions on DC blocking caps
  • 300 ns of simulation time!
  • Cblkn pkg2_nb pkg2_n 1nf ic400mv
  • Cblkp pkg2_pb pkg2_p 1nf ic400mv
  • 101010 101010 repeating 12 bit pattern

Reproduce this at package 2 (receiver)
Differential
Single ended
45
Set IC to Vswing/2
Reproduce this at package 2 (receiver)
Differential
Single ended
46
Not completely fixed
  • Initial voltage for D and D is not 0 so there
    is a step response when the wave reaches the
    receiver.
  • We can fix this by multiplying both n and p
    control waves for the VCR (voltage controlled
    resistor) by 0 for the first cycle.
  • This forces the DC solution at the other end of
    the line to 0 volts differential.

47
Insure both legs start at same voltage
Qualifying voltage
Qualifying voltagen control voltage
Qualifying voltagep control voltage
48
Results Pretty good
Reproduce this at package 2 (receiver)
  • May have to ignore first 1-2 cycles

Differential
Single ended
49
Now lets change bit pattern
Reproduce this at package 2 (receiver)
  • 100000001010
  • The pattern creates a DC charge to be built up in
    the cap
  • The solution is to create a code that has equal
    amount of 1s and zeros. This is the rational for
    8bit 10 bit (8b10b) coding

Differential
Single ended
50
Crossing Offset
  • The crossing offset is the horizontal line that
    is in the vertical center of the eye and it
    should be at 0 volts for a differential signal.
  • The amount of offset is the average DC value. A
    simple approximation is one minus the ratio of
    ones to zeros times the received vswing/2.
  • This does not included edge shape effects

51
Repeat patterns of 5 ones and 6 zeros
Approx. offset
Reproduce this at package 2 (receiver)
Hint start eye diagram at 200 ns
52
8b/10b encoding and background
  • Courtesy of Scott Gardiner, Intel

53
8b/10b - Simple Scheme
  • The encoding is comprehended in a set of tables
    which conform to a set of predetermined rules
  • Helpful Hint Complete tables that give all the
    literal 10b encodings do exist- and they
    comprehend all of the encoding rules
  • 8 bits are encoded into 10 bits

54
8b/10b Overview
  • The 10 bits are referred to as a symbol or a
    code-group
  • The original 8 bits are broken into a 3 bit block
    and a 5 bit block (each of these are called
    sub-blocks)
  • F1 ? 111 10001
  • The 3 bit sub-block (labeled HGF) is encoded into
    4 new bits (labeled fghj) the 5 bit sub-block
    (EDCBA) is encoded into 6 new bits (abcdei)
  • HGFEDCBA notation commonly represents the
    un-encoded bits, and abcdeifghj represents the
    encoded bits note that the relative order and
    position of the sub-blocks is switched upon
    encoding
  • HGF EDCBA ? abcdei fghj
  • Hence, an extra bit, j , is added to the newly
    encoded 3 bit block and an extra bit, i , to the
    encoded 4 bit block creating a 4 and 5 bit
    sub-blocks

55
8b/10b Character Conventions
  • Both Data Characters and Special Control
    Characters exist (nomenclature D.a.b K.a.b)
  • D/K Signifies Data or Control
  • a 5 bit block to be encoded
  • b 3 bit block to be encoded
  • Set of Available Data and Control Characters
  • Data (D.a.b)
  • D0.0-D31.0, D0.1-D031.1, .... D0.7 D31.7
  • All 256 Possible 8-bit Data characters (00
    through FF HEX)
  • Control (K.a.b)
  • K28.0 K28.7, K23.7, K27.7, K29.7, K30.7

56
8b/10b - DC balancing Disparity
  • Never more than 5 consecutive 1s or 0s allowed
    in a row (consecutively)..i.e. the maximum run
    rate is 5 to maintain a DC balanced
    transmission.
  • This guarantees the lowest frequency to be 1/10
    of the max frequency. i.e. only 1 decade data
    bandwidth required.
  • With 8b/10b, either positive (RD) or negative
    (RD-) disparity encoding is possible

57
8b/10b - Disparity
  • Disparity is the difference between the number
    of ones and zeros...positive and negative
    disparity refer to an excess of ones or zeros
    respectively.
  • Note neutral disparity is said to occur when RD
    and RD- encoding are identical- meaning they will
    each have the same number of ones and zeros
    (there are some exceptions)
  • A given sub-block or symbol can have an actual
    disparity number of either a zero (neutral), 2
    or 2, though the Running Disparity is said only
    to be Positive, Negative or Neutral.

58
8b/10b Running Disparity
  • The Running or Current Disparity (a binary value
    of or -) is tracked by the TX/RX and is
    computed at every sub-block boundary and at each
    symbol boundary.
  • The value from one sub-block or symbol is used
    with that of the next sub-block or symbol to give
    a running or current status.

59
8b/10b Running Disparity Algorithm
  • For a given encoding of a byte, the starting
    disparity is what existed at the end of the
    previous symbol
  • The running disparity is then calculated first
    for the 6 bit sub-block, comprehending the
    starting disparity value
  • The 6 bit sub block disparity value is then used
    as the starting disparity when the running
    disparity calculated for the 4 bit sub-block
  • The running disparity for the entire 10 bit
    symbol is now the same as the running disparity
    found at the end of the 4 bit sub-block (and the
    running disparity at the beginning of the next
    symbol / 6 bit sub-block is the same as that
    found at the end of the this symbol)
  • Again, a given sub-block or symbol can have an
    actual disparity number of either a zero
    (neutral), 2 or 2, though the Running Disparity
    is only said to be Positive, Negative or Neutral.

60
8b/10b - Running Disparity Calculation Algorithm
  • Assumptions The 8b to 10b encoding has already
    been done A current disparity value is already
    assumed
  • Process Calculate the disparity for the leftmost
    6 bits first, keeping in mind the current
    disparity value before entering the algorithm.
    Then calculate the disparity for the rightmost 4
    bits keeping in mind the disparity value
    determined after analyzing the previous 6 bits.
    The disparity for both the 6-bit and the 4-bit
    blocks should be calculated as follows

61
8b/10b - Running Disparity Calculation Method
  • Method
  • If of 1s gt 0s
  • Disparity Positive (1)
  • Else if of 0s gt 1s
  • Disparity Negative (0)
  • Else if 6-bit 000111
  • Then Disparity Positive (1)
  • Else if 6-bit 111000
  • Then Disparity Negative (0)
  • Else if 4-bit 0011
  • Then Disparity Positive (1)
  • Else if 4-bit 1100
  • Then Disparity Negative (0)
  • Else Disparity Disparity (if none of the above,
    then the disparity value doesnt change)

Note Assuming a encoding, more 1s across the
entire 10b code yields positive disparity, more
0s yields negative disparity, and even s of
1s and 0s yields neutral disparity (i.e.
disparity is the same as it was before).
62
8b/10b - Disparity Encoding Example
  • Transmitter keeps running track of current
    disparity (it is either RD, RD or neutral)
  • Neutral means the disparity tracker keeps the
    previous RD- or RD value
  • A Running Disparity of RD is always followed by
    an RD- encoding and vice versa
  • If Running Disparity is RD, the following is
    encoded for the data byte F1
  • HGF EDCBA ? abcdei fghj
  • 111 10001 ? 100011 0111 (RD- encoding)
  • If Running Disparity is RD-, the following is
    encoded for the data byte F1
  • HGF EDCBA ? abcdei fghj
  • 111 10001 ? 100011 0001 (RD encoding)

63
8b/10b - Disparity Encoding Example
  • Note that the number of ones and zeros in the
    currently chosen encoding works to balance out
    the offset in the number of ones and zeroes
    (tracked by the Running Disparity value) from the
    previous encoding
  • I.E. Dont confuse the definition of Positive
    Disparity with the RD encoding choice!
  • Positive Disparity means there is a current
    running total of more ones than zeros!
  • Thus, an RD encoding generally has more zeros
    than ones!
  • Also note that it is possible that the 4-bit
    sub-block of a RD- or RD symbol encoding can
    yield a negative or positive disparity,
    respectively thus forcing more than one RD-
    encoding to be used consecutively

64
Summary Example conversion
HEX Data Byte (8b) to be Encoded
F1
OR
Binary Data Byte (8b) to be Encoded
1111 0001
10b Encoded symbol (RD-)
10b Encoded symbol (RD)
100011 0001
100011 0111
65
Possible Patterns
  • Repeating Comma K28.5 Pattern (RD- followed by
    RD)
  • 001111 1010 110000 0101 001111 1010 110000 0101
  • (RD-) (RD) (RD-)
    (RD)
  • 6 bit encoding starts with an RD- and uses an
    positive disparity encoding.6 bits encoding
    yields an RD..4-bit encoding starts with a RD
    4-bit encoding picks a negative (or neutral
    encoding) and thus yields a neutral and thus
    keeps the RD. Checks out.
  • Low Frequency Pattern?? (D30.0 (RD- followed by
    RD-)
  • 011110 0100 011110 0100 011110 0100 011110 0100
  • (RD-) (RD-) (RD-)
    (RD-)
  • 100001 1011 100001 1011 100001 1011 100001 1011
  • (RD) (RD) (RD)
    (RD)

66
Possible Patterns
  • High transition density/frequency pattern
  • D21.5 (RD- followed by RD)
  • 101010 1010 101010 1010 101010 1010 101010 1010
  • (RD-) (RD) (RD-) (RD)
  • Low transition density pattern
  • K28.7 (RD-) D24.3 (RD) (although K28.7 is
    reserved....)
  • 001111 1000 001111 1000 001100 1100 001111 1000
    001100 1100
  • (RD-) (RD)
    (RD-) (RD)
  • D24.6 (RD-) D24.6 (RD)
  • 1100110110 0011000110 1100110110 0011000110
  • (RD-) (RD) (RD-)
    (RD)
  • Composite pattern
  • D30.7 (RD-) D13.7 (RD-)
  • 011110 0001 101100 1000 011110 0001 101100 1000
  • (RD-) (RD-) (RD-)
    (RD-)

67
References
  • Infiniband Architecture Release Specification 1.0
  • October 24, 2000, Volume 2, Section 5.2x
    (beginning with page 66)
  • Franaszek Widmer (IBM) Patent 4,486,739
  • December 4, 1984, Byte Oriented DC Balanced
    8B/10B Partitioned Block Transmission Code
  • 3GIO Architecture Specification- Key Developer
    Draft
  • August 21, 2001, Appendix C, pg148-154
  • ANSI X3.230-1994, clause 11 (and also IEEE
    802.3z, 36.2.4).

68
Other sources of common mode
  • A DC voltage will build up across the blocking
    capacitor if the charge and discharge is not
    equal.
  • We have see this can happen if the number of bits
    is unbalance.
  • Another source of imbalance is possible if the
    duty cycle of the one and zeros is not 50.
  • This can happen in two ways
  • The time for a one differs from that of a zero.
    This can be caused by edge jitter.
  • The rising time and falling time are miss matched
  • On the next slide we will take our example with
    101010101010 pattern and change the rise time to
    50 ps and fall time to 150 ps for the single
    ended signals

69
CM offset from tr/tf mismatch
Reproduce this at package 2 (receiver)
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