Q2 QMS/QFS 16mm Stack Height Final Inch Designs In PCI Express Applications Generation Gbps. Revision Date: February 13, 2009

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Q2 QMS/QFS 16mm Stack Height Final Inch Designs In PCI Express Applications Generation 2 5.0 Gbps Revision Date: February 13, 2009 Copyrights and Trademarks Copyright 2009 Samtec, Inc. Developed in conjunction with Teraspeed Consulting Group LLC

COPYRIGHTS, TRADEMARKS, and PATENTS QPairs and Final Inch is a trademark of Samtec, Inc. Other product names used herein are trademarks of their respective owners. All information and material in this publication are property of Samtec, Inc. All related rights are reserved. Samtec, Inc. does not authorize customers to make copies of the content for any use. Terms of Use Use of this publication is limited to viewing the pages for evaluation or purchase. No permission is granted to the user to copy, print, distribute, transmit, display in public, or modify the contents of this document in any way. Disclaimer The information in this publication may change without notice. All materials published here are As Is and without implied or expressed warranties. Samtec, Inc. does not warrant this publication will be without error, or that defects will be corrected. Samtec, Inc. makes every effort to present our customers an excellent and useful publication, but we do not warrant or represent the use of the materials here in terms of their accuracy, reliability or otherwise. Therefore, you agree that all access and use of this publication's content is at your own risk. NEITHER SAMTEC, INC. NOR ANY PARTY INVOLVED IN CREATING, PRODUCING, OR DELIVERING THIS PUBLICATION SHALL BE LIABLE FOR ANY DIRECT, INCIDENTAL, CONSEQUENTIAL, INDIRECT, OR PUNITIVE DAMAGES ARISING OUT OF YOUR ACCESS, USE OR INABILITY TO ACCESS OR USE THIS PUBLICATION, OR ANY ERRORS OR OMISSIONS IN ITS CONTENT. Revision Date: 02/13/2009 1 Copyright 2009

Abstract The PCI Express is primarily intended as a high performance serial interface targeted for use in desktop, mobile, workstation, server, communications platforms, and embedded devices. As with any modern high speed PCB design, the performance of an actual PCI Express interconnect is highly dependent on the implementation. This paper describes a measurement method applied to proven Samtec Final Inch designs and this industry standard to help engineers deploy systems of two PCB cards mated through Samtec s family of high speed electrical connectors. To demonstrate the feasibility of using the Samtec QMS/QFS 16mm stack height connector with standard FR4 epoxy PCBs, informative interconnect loss and jitter values will be measured through Spice simulation and presented in spreadsheet format. Also, trace lengths on the motherboard side of the QMS/QFS 16mm stack height connector will be gradually increased to show the limits of compliance. In order to ensure interoperability between PCI Express Generation 2 transmitter and receiver devices, we will stress a typical interconnect design by stimulating their Spice model components and devices with worst case data patterns as described in Section 4.3.6.2.4 of PCI Express Base Specification, Rev 2.0. This paper will cover techniques to stress the system with reduced driver amplitude as well as max transmit jitter and noise injection. Revision Date: 02/13/2009 2 Copyright 2009

Introduction Samtec has developed a full line of connector products that are designed to support serial speeds greater than 5.0 Gbps, the Baud rate of each PCI Express Generation 2 data lane. Working with Teraspeed Consulting, they have developed a complete breakout and routing solution for each member of Samtec s line of high speed connectors, called Final Inch. To demonstrate the feasibility of using Samtec QxS-DP connectors in PCI Express applications with standard FR4 epoxy PCBs, informative interconnect loss and jitter values will be measured through Spice simulation and presented in a user-friendly spreadsheet format. Trace lengths will be varied to show the limits of compliance. Analysis will consist of stimulating a typical trace-connector-trace circuit path with a worst case signal and then observing the corresponding eye closure related to reflections due to impedance discontinuities, loss, and stubs. Next, utility software will be used to extract, analyze, and format Spice-measured voltage amplitudes and differential signal crossing times. Mask violations (see Figure 2) will be recorded in pass/fail format. Definitions Interconnect Budget The amount of loss and jitter that is allowed in the interconnect and still meet the target specification. Loss The differential voltage swing attenuation from transmitter to receiver on the trace. The trace is subject to resistive, dielectric, and skin effect loss. Loss increases as trace length and and/or signal frequency increases. Vias and connectors also exhibit losses which must be included in the interconnect budget. Total loss allowed in the interconnect is 13.2 db. Jitter The variation in the time between differential crossings from the ideal crossing time. Jitter includes both data dependent and random contributions on the interconnect. Total jitter allowed is 0.4UI, or 80 ps when UI = 200 ps. PRBS Pseudo Random Bit Sequence. Tj Total jitter, which is the convolution of the probability density functions for all the jitter sources, Random jitter (Rj) and Deterministic jitter (Dj). The UI allocation is given as the allowable Tj. The PCI Express specification does not specify allocation of Rj and Dj. UI Unit Interval. The time interval required for transmission of one data symbol. For a binary lane operating at 5.0 Gbps, the UI is 200 ps. Revision Date: 02/13/2009 3 Copyright 2009

V DIFF Differential voltage, defined as the difference of the positive conductor voltage and the negative conductor voltage (V D+ - V D- ). V DIFFp-p Differential peak-to-peak voltage, defined by the following equations: V DIFFp-p = (2*max V D+ - V D- ) (Applies to a symmetric differential swing) V DIFFp-p = (max V D+ - V D- { V D+ > V D- } + max V D+ - V D- { V D+ < V D- }) (Applies to a asymmetric differential swing) The PCI Express Specification PCI Express links are based on recent advances in point-to-point interconnect technology. A PCI Express link is comprised of a dual-simplex communications channel between two components physically consisting of two low-voltage, differential signal pairs. The PCI Express Base Specification defines one half of a link (one transmitter and receiver) an electrical sub-block. The design model used for this paper is of three electrical sub-blocks operating in tandem, the victim surrounded by multiple aggressors, with all bit streams heading in the same direction. Detailed specifications for an electrical sub-block can be found in the PCI Express 2.0 Base Specification and will be referred to throughout the rest of this paper 1. Measurement techniques specified in this section have been rigidly adhered to including the requirement for finding the median within the jitter for use in jitter measurements. 1 The PCI Express Base 2.0 specification is available for purchase though the PCI Sig organization (http://www.pcisig.com/specifications/ordering_information). Revision Date: 02/13/2009 4 Copyright 2009

Setup and Measurement Input Stimulus Setup A PRBS 2 7-1 pattern was used for victim stimulus pair and a repeating 1010 pattern used for the aggressor pairs surrounding the victim pair. Teraspeed has developed its own stimulus conversion tool that has the capability to selectively de-emphasize and/or add jitter to the HSICE stimulus output, such as a vector file. This was used to add enough jitter and de-emphasis to just meet worst case PCI Express Generation 2 transmit jitter specifications. The Test Circuit Model The test circuit modeled is shown in Figure 1. It consists of the following: One set of Teraspeed behavioral driver models with programmable edge rate, amplitude, and de-empgasis.one set of six AC coupling capacitors, value = 100 nf 1 QMS/QFS Final Inch design, comprised of the QMS/QFS connector model surrounded by the Samtec s BOR models, lossy trace models (7.5mil; stripline; FR4) and SMA connector models on both sides of the connector. 50 Ohm termination resistors to Ground (as required per Note 7 in Section 4.3.4 of the PCI Express Base Specification, Rev 1.0a. AC Caps Stimulus SMAs Differential Trace Pairs Vias QMS Side 2 Side 1 Side 1 QFS Vias Differential Traces Pairs Side 2 SMAs Termination Figure 1 - PCI Express Test Circuit Revision Date: 02/13/2009 5 Copyright 2009

A A V V A A Procedure Figure 2 QMS/QFS connector test cases pad patterns for HSPICE simulations. V = Victim, A = Aggressor. Black = grounded connections. Interconnect Budget The interconnect budget can be best illustrated by the mask shown in Figure 3. In order to pass the PCI Express constraints for loss and jitter, the simulated eye waveform must not touch any location within the grey areas shown. Calculated interconnect budget values are shown in Table 1. Figure 3 - Example eye mask template Revision Date: 02/13/2009 6 Copyright 2009

Driver at Package Pin Receiver at Package Pin Interconnect budget: Low Power Differential Maximum Loss, A1 to A1 (See example mask (V DIFFp-p ) Normal Power Differential Maximum Loss, A1 to A1 (See example mask (V DIFFp-p ) 0.400 0.800 0.75 Minimum Eye Width, X1 to 1-X1 (See example mask (UI p-p ) 0.120 0.120 0.60 2 10.5 db loss 16.5 db loss 1 0.15 UI (30ps when UI = 200 ps) Table 1 - PCI Express Gen 2 interconnect budgets: max loss and min eye width calculated values 1 The worst case operational loss budget at 2.5 GHz Nyquist frequency is calculated by taking the minimum driver output voltage (V TX-DIFFp-p = 800 mv) divided by the minimum input voltage to the receiver (V RX-DIFFp-p = 175 mv). 175/800 =.219, which after conversion results in a maximum loss budget of 13.2 db. 2 Minimum width pulse at Rx after accounting for worst Tj at 10-12 BER. See Table 4-12 in the PCI Express Base Specification, Revision 2.0. Transmitter Compliance Measurements Setup for Tj for UI Measurements Before the PCI Express circuit model can be simulated and measured, we must first set up the driver stimulus to provide minimum TX eye width (maximum jitter) and minimum amplitude for both low power and regular power driver models. As mentioned in the previous section, the driver stimulus jitter can be adjusted until it just reaches the maximum total jitter allowed under the compliance load shown in the figure below. The AC coupling capacitor C TX can be set anywhere between 75pF and 200pF. We set C TX to 100nF for all simulations because it is a popular value in the industry. Table 2 shows the resulting output measurements. The eye pattern generated in the PCI Express driver compliance test simulation can be found in Appendix A, Picture 1, of this paper. Revision Date: 02/13/2009 7 Copyright 2009

D+ Package Pin C = 100 nf TX Driver D- Package Pin C = 100 nf R = 50 Ω R = 50 Ω Figure 4 - PCI Express Compliance Test/Measurement load Deemphasis 0dB (Low Power) -3 db -4 db -5.5 db -6.5 db Vdiff p-p Total Jitter 0.25 UI, measured at crossings Edge Rate 0.15 UI, measured 20% to 80% Transition Bit De-emphasized Bit Specification 400 mv None 50 ps 30ps Measured mv 1-46 ps 34ps Specification 800 mv 566 mv 50 ps 30ps Measured mv 1 566 mv 49 ps 30ps Specification 800 mv 505 mv 50 ps 30ps Measured mv 1 505 mv 49 ps 30ps Specification 800 mv 425 mv 50 ps 30ps Measured mv 1 425 mv 49 ps 30ps Specification 800 mv 378 mv 50 ps 30ps Measured mv 1 mv ps ps Table 2- PCI Express TX Silicon + Package Measurements at Package Pin 1 The PCI Express Base Specification defines X2 to 1-X2 = 0. The minimum TX height measurements were taken at mid bit. Revision Date: 02/13/2009 8 Copyright 2009

Measurements at the Receiver Notes: 1.) The total trace length specified is the sum of the mother board and daughter card differential traces as shown in Figure 1. Both trace lengths are equal in each simulation. 2.) For each of the following tables, the eye patterns generated in the PCI Express circuit simulation with the maximum allowable total trace length in each of the following table can be found in Appendix A of this paper. PCI Express with QMS/QFS Connector Final Inch Circuit Min RX Differential Voltage, A1 to A1 1 (See example mask Min RX Eye Width, X1 to 1-X1 (See example mask Pass/Fail Specification 120 mv DIFFp-p 120 ps - 5.0" total trace 273 mv 143 ps Pass 10.0" total trace 214 mv 136 ps Pass 15.0" total trace 168 mv 126 ps Pass 16.0" total trace 165 mv 124 ps Pass 17.0"total trace 149 mv 120 ps Fail 18.0" total trace 138 mv 119 ps Fail Table 3 - PCI Express Connector Far-end Measurements, Low Power Driver. PCI Express with QMS/QFS Connector Final Inch Circuit Min RX Differential Voltage, A1 to A1 1 (See example mask Min RX Eye Width, X1 to 1-X1 (See example mask Pass/Fail Specification 120 mv DIFFp-p 120 ps - 10.0" total trace 363 mv 144 ps Pass 20.0" total trace 259 mv 136 ps Pass 22.0" total trace 246 mv 133 ps Pass 24.0" total trace 222 mv 129 ps Pass 26.0" total trace 211 mv 128 ps Pass 28.0" total trace 192 mv 121 ps Pass 29.0" total trace 183 mv 119 ps Fail Table 4 - PCI Express Connector Far-end Measurements, Normal Driver with -3dB de-emphasis. Revision Date: 02/13/2009 9 Copyright 2009

PCI Express with QMS/QFS Connector Final Inch Circuit Min RX Differential Voltage, A1 to A1 1 (See example mask Min RX Eye Width, X1 to 1-X1 (See example mask Pass/Fail Specification 120 mv DIFFp-p 120 ps - 10.0" total trace 326 mv 143 ps Pass 20.0" total trace 269 mv 140 ps Pass 30.0" total trace 190 mv 127ps Pass 31.0" total trace 184 mv 125 ps Pass 32.0" total trace 181 mv 123 ps Pass 33.0" total trace 170 mv 122 ps Pass 34.0" total trace 167 mv 120 ps Pass 35.0" total trace 159 mv 118 ps Fail Table 5 - PCI Express Connector Far-end Measurements, Normal Driver with -4dB de-emphasis. PCI Express with QMS/QFS Connector Final Inch Circuit Min RX Differential Voltage, A1 to A1 1 (See example mask Min RX Eye Width, X1 to 1-X1 (See example mask Pass/Fail Specification 120 mv DIFFp-p 120 ps - 10.0" total trace 276 mv 141 ps Pass 20.0" total trace 257 mv 141 ps Pass 30.0" total trace 205 mv 137 ps Pass 40.0" total trace 148 mv 124 ps Pass 41.0" total trace 144 mv 122 ps Pass 42.0" total trace 140 mv 120 ps Pass 43.0" total trace 134 mv 117 ps Fail Table 6 - PCI Express Connector Far-end Measurements, Normal Driver with -5.5dB de-emphasis. Revision Date: 02/13/2009 10 Copyright 2009

PCI Express with QMS/QFS Connector Final Inch Circuit Min RX Differential Voltage, A1 to A1 1 (See example mask Min RX Eye Width, X1 to 1-X1 (See example mask Pass/Fail Specification 120 mv DIFFp-p 120 ps - 10.0" total trace 249 mv 139 ps Pass 20.0" total trace 238 mv 139 ps Pass 30.0" total trace 208 mv 139 ps Pass 40.0" total trace 158 mv 132 ps Pass 42.0" total trace 150 mv 130 ps Pass 44.0" total trace 140 mv 125 ps Pass 46.0" total trace 134 mv 124 ps Pass 47.0" total trace 127 mv 121 ps Pass 48.0" total trace 123 mv 119 ps Fail Table 7 - PCI Express Connector Far-end Measurements, Normal Driver with -6.5dB de-emphasis. Conclusions When used with Samtec s Final Inch differential routing, breakout, and trace width solution, a single Samtec QMS/QFS 16mm stack height connector set in a board to board configuration can be used to transfer PCI Express lanes with total trace lengths up to: 17 inches in low power driver mode. 28inches when using a normal driver with -3 db de-emphasis. 34 inches when using a normal driver with -4 db de-emphasis. 42 inches when using a normal driver with -5.5 db de-emphasis. 47 inches when using a normal driver with -6.5 db de-emphasis Recommendations Designers should be aware that using smaller trace widths, laminates with higher loss tangent, and sub optimal routing solutions with higher pair-to-pair coupling and additional via stubs will decrease overall performance and the maximum allowable trace length. It is advisable, when designing systems that approach the maximum trace length limits, to perform detailed modeling, simulation, and measurement of the target design including the effects of material properties, traces, vias, and additional components Revision Date: 02/13/2009 11 Copyright 2009

Appendix A Waveform images Picture 1 Example of worst case stimulus eye waveform, probed at Teraspeed driver behavioral model nodes connected to PCIe compliance test/measurement load. Low power setting. Picture 2 Example of worst case stimulus Q2 measurement, probed at Teraspeed driver behavioral model nodes connected to PCIe compliance test/measurement load. Low power setting. Revision Date: 02/13/2009 12 Copyright 2009

Picture 3 Receiver eye measurement, probed at far end termination. Low power driver setting with 0 db de-emphasis. Total trace length = 17 inches. Picture 4 Receiver eye measurement, probed at far end termination. Normal power driver setting with -3 db de-emphasis. Total trace length = 28 inches. Revision Date: 02/13/2009 13 Copyright 2009

Picture 5 Receiver eye measurement, probed at far end termination. Normal power driver setting with -4 db de-emphasis. Total trace length = 34 inches. Picture 6 Receiver eye measurement, probed at far end termination. Normal power driver setting with -5.5 db de-emphasis. Total trace length = 42 inches Revision Date: 02/13/2009 14 Copyright 2009

Picture 7 Receiver eye measurement, probed at far end termination. Standard driver setting with - 6.5 db de-emphasis. Total trace length = 47 inches. Revision Date: 02/13/2009 15 Copyright 2009