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Differential Signaling Introduction Reading Chapter 6 12/4/2002 Agenda 2 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 Differential Signaling 12/4/2002 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. Differential Signaling 12/4/2002 4 Review of threshold sensitivity Vref Vref Vref Vss Tx Short line Long line The wave is referenced to either Vcc or Vss. Vss Rx1 Vss Rx2 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. Differential Signaling 12/4/2002 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. Differential Signaling 12/4/2002 Differential Signaling - Cons 6 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. Differential Signaling 12/4/2002 7 Differential Signal Parameters Line 1 Line 2 Voltage on line 1 = a Voltage on line 2 = b Differential voltage d = a-b Common mode voltage c= (a+b)/2 Odd mode signal, o = (a-b)/2 Even mode signal, e = (a+b)/2 Signal on line 1 a = e+o Signal on line 2 b = e-o Useful relations; o = d/2; e = c Differential Signaling Reference 12/4/2002 Propagation Terms to Consider 8 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. Differential Signaling 12/4/2002 9 Differential Microstrip Example -9 henry L11 6.598000 10 -9 henry L21 1.291000 10 in -12 farad C11 4.177000 10 Transmission line Zdiff 2 Zcomm Zse L11 L21 C11 C21 L11 L21 C11 C21 L11 C11 in in -13 farad C21 6.690000 10 L11 L21 L12 L22 in L12 L21 L22 L11 C12 C21 C22 C11 C11 C21 C12 C22 Zdiff 66.185 inductance and capacitance matrixes Sd ( L11 L21) ( C11 C21) Sd 1.924 ns Zcomm 47.422 Sc ( L11 L21) ( C11 C21) Sc 1.996 ns Zse 39.744 Sse L11 C11 Z0 Zse ft ft Sse 1.992 ns ft SE: single ended = uncoupled Differential Signaling 12/4/2002 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. Differential Signaling 12/4/2002 Propagation Velocities 11 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. Differential Signaling 12/4/2002 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 Differential Signaling 12/4/2002 Differential Signaling Basics 13 Voltages a and b are respective of signals on lines 1 and 2 We will use a 1GHz sine wave for the signal and offset defined below ti 1 offseti .9 mod .2 ns f ns ai sin 2 f ti offseti ramp wave centered around 1 bi sin 2 f ti offseti 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. Differential Signaling 12/4/2002 14 Individual signals Plot individual line voltages and offset voltage 3 2.33 ai 1.67 bi 1 offseti 0.33 0.33 1 0 0.83 1.67 2.5 3.33 4.17 5 ti ns 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 Differential Signaling 12/4/2002 15 Differential Mode Signal Plot Differential voltage 2 1 ab 0 1 2 0 0.83 1.67 2.5 3.33 4.17 5 t ns 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. Differential Signaling 12/4/2002 16 Common Mode Signal Plot common mode voltage 1.1 aibi 2 1 0.9 0.8 0 1 2 3 4 5 ti ns 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” Differential Signaling 12/4/2002 Add 150 ps skew to signal b 17 Plot individual line voltages and offset voltage 3 2.33 ai 1.67 bi 1 offseti 0.33 0.33 1 0 0.83 1.67 2.5 3.33 4.17 5 ti ns Waveforms do not look so good. We even have what appears to be non-monotonic behavior. Differential Signaling 12/4/2002 18 Differential signal looks OK Plot Differential voltage 2 1 ab 0 1 2 0 0.83 1.67 2.5 t ns 3.33 4.17 5 max( a b) min( a b) 3.562 However we lost differential signal amplitude. It used to be 4 peak to peak and now is 3.562. Differential Signaling 12/4/2002 Common mode measurements are different Plot common mode voltage 2 aibi 1.5 2 1 0.5 0 1 a 2 mean max b 2 3 4 5 ti a b min 2 0.944 a b a b mean a b min a b 0.504 mean max 2 2 2 2 1 ns a 2 max b Average is still 1. Peak to peak is 0.944 but peak is 0.504 AC common mode signals can be converted to differential Differential Signaling 12/4/2002 19 20 PWB structures that introduce Skew An escape from a BGA or connector pins introduces skew This is an example of skew compensation Differential Signaling 12/4/2002 Bends introduce skew 21 Back to back bends compensate for skew from frequencies below 2 GHz. Differential Signaling 12/4/2002 22 More Terms: Balanced and Unbalanced Good Agilent Technologies article on balance and unbalanced signaling http://we.home.agilent.com/upload/cmc_upload/t mo/downloads/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. Differential Signaling 12/4/2002 23 Ethernet 10/100BASE-T example Filter 50 Transformer 50 TP1 50 TN1 50 Commonmode choke Unbalanced Differential Signaling Balanced 12/4/2002 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 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 Differential Signaling 12/4/2002 24 Current Mode Logic 25 Emerging technology No real spec yet but can infer operation from spec’s 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. Differential Signaling 12/4/2002 Example of Simple CML Differential Behavioral Circuit This exponent determines wave shape Data Waves 1 3 per pulse( t ) ns wave( t) 1 e 0.5 Data Pulses 0 1 0 0 10 Wavep ( t) Wavep ( t) 1 20 0 10 20 Vcc 30 Balance between for FET switch I_source 30 Waven ( t td) 1 r_termn balancep Waven ( t td) r_termp, C_term Positive Terminal Negative Terminal Vss Differential Signaling r_termn balancen This switch time offset r_termn, C_term 12/4/2002 26 27 Example of Sensitivities: I, balance, C Vcc I_source More prominent for faster edges Differential Signaling 12/4/2002 28 Example of Sensitivities: Slew, Skew, R Vcc I_source R/F slew +/skew Differential Signaling 12/4/2002 29 Serial Differential GHz transmission will have many UI’s 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. Differential Signaling 12/4/2002 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 Differential Signaling 12/4/2002 Eye Diagram 31 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 Differential Signaling 12/4/2002 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. Differential Signaling 12/4/2002 Create ramp with expression builder Start of relative eye position Unit Interval Differential Signaling Time of eye start 12/4/2002 33 Copy Ramp to X Axis 34 Use middle button to drag ramp to Current X-Axis Differential Signaling 12/4/2002 35 Voltage and period volt-time ramp Differential Signaling 12/4/2002 Clocking 36 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 Differential Signaling 12/4/2002 Embedded clocking 37 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. Differential Signaling 12/4/2002 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 Differential Signaling 12/4/2002 Forwarded Clocking 39 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. Differential Signaling 12/4/2002 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 Differential Signaling 12/4/2002 41 Behavioral Data Model – Example 12 bit of repeating data 010101 001001 … v(t) data UI = 500 ps Tr=Tf=100ps Wave shape* ( v ( t )*2.4 ) 2.5 1 e Rterm=50 Vswing = 800 mV Cterm=0.25pf I=Vswing/(50||50)/2 * Refer to first course Differential Signaling 12/4/2002 42 AC coupled Differential Circuit Vcc AC coupling caps are normally larger, but are scaled down to illustrate common mode effects 16ma 0 0/800mV to 1V VCR 1.0gHz + + - - VCR .25pf 50 .25pf 10n .25pf 1nH 50 1nH 50 50 1nH 1nH 10n .25pf Differential Signaling 12/4/2002 43 Top Level HSPICE CODE Modified Convenience Differential Signaling 12/4/2002 No initial conditions on DC blocking caps 300 ns of simulation time! Cblkn pkg2_nb pkg2_n 1nf $ic=400mv Cblkp pkg2_pb pkg2_p 1nf $ic=400mv 101010 101010 repeating 12 bit pattern Reproduce this at package 2 (receiver) Differential Single ended Differential Signaling 12/4/2002 44 Set IC to Vswing/2 45 Reproduce this at package 2 (receiver) Differential Single ended Differential Signaling 12/4/2002 Not completely fixed 46 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. Differential Signaling 12/4/2002 47 Insure both legs start at same voltage Qualifying voltage Qualifying voltage n control voltage Qualifying voltage p control voltage Differential Signaling 12/4/2002 Results – Pretty good May have to ignore 48 Reproduce this at package 2 (receiver) first 1-2 cycles Differential Single ended Differential Signaling 12/4/2002 Now lets change bit pattern 49 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 1’s and zeros. This is the rational for 8bit 10 bit (8b10b) coding Differential Single ended Differential Signaling 12/4/2002 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 one’s to zeros times the received vswing/2. This does not included edge shape effects Differential Signaling 12/4/2002 51 Repeat patterns of 5 ones and 6 zeros 1 2 483 5 Approx. offset 40.25 6 Reproduce this at package 2 (receiver) Hint: start eye diagram at 200 ns Differential Signaling 12/4/2002 8b/10b encoding and background Courtesy of Scott Gardiner, Intel 12/4/2002 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 Differential Signaling 12/4/2002 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 Differential Signaling 12/4/2002 8b/10b – Character Conventions 55 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 Differential Signaling 12/4/2002 56 8b/10b - DC balancing & Disparity Never more than 5 consecutive 1’s or 0’s 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 Differential Signaling 12/4/2002 8b/10b - Disparity 57 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. Differential Signaling 12/4/2002 8b/10b – Running Disparity 58 The Running or Current Disparity (a binary value of + or -) is tracked by the TX/RX and is computed at every subblock 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. Differential Signaling 12/4/2002 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. Differential Signaling 12/4/2002 59 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: Differential Signaling 12/4/2002 8b/10b - Running Disparity Calculation Method Method: If # of 1’s > 0’s Disparity = Positive (1) Note: Assuming a encoding, more 1’s across the entire 10b code Else if # of 0’s > 1’s yields positive Disparity = Negative (0) disparity, more 0’s yields negative Else if 6-bit = 000111 disparity, and even #’s of 1’s and 0’s yields neutral disparity Then Disparity = Positive (1) (i.e. disparity is the same as it was Else if 6-bit = 111000 before). 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 doesn’t change) Differential Signaling 12/4/2002 61 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) Differential Signaling 12/4/2002 62 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. : Don’t 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… Differential Signaling 12/4/2002 Summary: Example conversion 64 HEX Data Byte (8b) to be Encoded OR F1 Binary Data Byte (8b) to be Encoded 1111 0001 10b Encoded symbol (RD-) 100011 0111 Differential Signaling 10b Encoded symbol (RD+) 100011 0001 12/4/2002 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-) (RD+) (RD+) (RD+) (RD+) 100001 1011 100001 1011 100001 1011 100001 1011 Differential Signaling 12/4/2002 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-) Low transition density pattern: (RD+) 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-) Composite pattern: (RD+) (RD-) (RD+) D30.7 (RD-) & D13.7 (RD-) 011110 0001 101100 1000 011110 0001 101100 1000 (RD-) (RD-) (RD-) Differential Signaling (RD-) 12/4/2002 References 67 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). Differential Signaling 12/4/2002 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 Differential Signaling 12/4/2002 69 CM offset from tr/tf mismatch Reproduce this at package 2 (receiver) Differential Signaling 12/4/2002