The Effect of Inserted ISI on Transition Density Plots and DCD & ISI Histograms of MJS Patterns

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The Effect of Inserted ISI on Transition Density Plots and DCD & ISI Histograms of MJS Patterns By Wavecrest Corporation TABLE OF CONTENTS: I. INTRODUCTION. 2 II. EQUIPMENT SETUP.. 3 III. TEST PROCEDURE 4 IV. TEST RESULTS SUMMARY.. 5 V. TEST RESULTS - TRANSITION DENSITY PLOTS.. 6 VI. TEST RESULTS - HISTOGRAMS... 10 VII. CONCLUSIONS... 12 APPENDIX A DETAILED CJTPAT TRANSITION DENSITY PLOT COMPARISON.. 13 1 of 15

I. INTRODUCTION The purpose of this technical report is to document the effect of adding Inter-Symbol Interference (ISI) to FC-MJS K28.5, IDLE, CRPAT, and CJTPAT patterns. ISI was added by using a relatively 11.5 foot RF cable in place of a 3 foot RF cable. Data was acquired with the short cable for the data signal ( no ISI ) and then again with the long cable in place on the data signal ( with ISI ). Duty Cycle Distortion (DCD) and ISI as a function of edge position within the pattern (transition density plot) were acquired for each of these four FC-MJS patterns, with and without ISI added. Histograms showing DCD and ISI on rising and falling edges were also acquired. All plots were acquired using the Known Pattern with Marker mode on the Wavecrest SIA-3000. 2 of 15

II. EQUIPMENT SETUP For this study, a Wavecrest SIA-3000 was used to acquire the data, and a HP 70841B Pattern Generator with 3.3GHz HP 70311A Clock Source was used a stimulus as shown here. WAVECREST SIA-3000 HP 70841B Pattern Generator HP 70311A Clock Source 16 MHz - 3.3 GHz CH1 CH2 CH3 (ARM) CLCK DATA TRIG 3' Harbour Industries 27478-SB-142 - no ISI 11.5' Suhner Multiflex 86 cable - with ISI Cable hookup was single-ended only for all signals. For no ISI trials, a 3 ft. Harbour Industries cable was used on both data and arm inputs to the SIA-3000. For the with ISI trials, a 11.5 ft. Suhner cable replaced the 3 ft. data cable and the acquisition was repeated. Virtual Instruments Signal Integrity TM (VISI) rev 7.2.1 software was loaded on the SIA-3000 for all measurements taken for this study. The clock source for the HP 70841B was set to 2.125Gbps for all measurements. The Amplitude and High Level for the data output of the HP 70841B were set to 800 mv. The Trigger of the pattern generator was used as an arm for the SIA-3000 operating in Known Pattern with Marker mode. A cut-off frequency of 1274kHz was used for all filter settings. Setup of the SIA-3000 is as follows: Select Known Pattern with Marker mode from datacom tools menu on the SIA-3000. Set cutoff frequency to be 1274 khz under Acquire Options side menu. Default settings used on Bit Rate Setup on the SIA-3000. Default settings used n DCD+ISI Setup, except under Filter Options, the LPF and HPF were enabled with corner frequencies of 1274 khz. Default settings used for RJ+PJ Options, with Tailfit set to Auto and both RJ and PJ filters were enabled as Brick Wall filters with 1274 khz cutoff. Default settings used under Voltages side menu. For the CJTPAT pattern, the acquired data was processed with and without the DCD+ISI filter enabled in Wavecrest VISI software. With the DCD+ISI HPF enabled, modeling of receiver clock recovery performance with this jitter tolerance pattern can be obtained and compared to that with the DCD+ISI filter disabled, which is similar to comparing to a reference bit clock. 3 of 15

III. TEST PROCEDURE This study of the effects of inserted ISI on FC-MJS patterns was split into two parts and followed this general test procedure: For each of the K28.5, IDLE, CRPAT, and CJTPAT patterns, perform the following: Setup equipment to acquire measurements as in the previous section using 3 cable for the data signal. Load the appropriate pattern into HP Pattern Generator and on the SIA-3000 using the Pattern Options side menu. Conduct Perform Placement of marker under the Arm Setup side menu on the SIA-3000. Press Single/Stop to perform data acquisition for no ISI case. Save acquired data and VISI settings under Tool, Save As menu options. Replace 3 cable with 11.5 cable for data signal. Conduct Perform Placement of marker under the Arm Setup side menu on the SIA-3000. Clear screen of previous data. Press Single/Stop to perform data acquisition for with ISI case. Save acquired data and VISI settings under Tool, Save As menu options. 4 of 15

IV. TEST RESULTS SUMMARY A summary of the test results is shown in Table 1. below, with results reported in both unit interval and picoseconds of jitter. A delta in the DCD+ISI and in the TJ was computed in each case to quantify the increase in jitter when the long cable was used to purposely introduce ISI. Table 1. Summary of Results in Unit Interval (UI) in picoseconds (ps) Pattern Parameter Without ISI With ISI Delta Without ISI With ISI Delta K28.5 IDLE CRPAT DCD+ISI DCD+ISI DCD+ISI 0.0591 0.0721 0.0810 0.0932 0.0942 0.1098 0.0341 0.0221 0.0288 27.796 33.909 38.117 43.880 44.343 51.657 16.084 10.434 13.54 TJ TJ TJ 0.0878 0.1034 0.1095 0.1271 0.1265 0.1438 0.0393 0.0231 0.0343 41.342 48.665 51.527 59.830 59.538 67.676 18.488 10.873 16.149 CJTPAT DCD+ISI 0.0822 0.1254 0.0432 38.694 59.021 20.327 (HPF On) TJ 0.1090 0.1569 0.0479 51.285 73.840 22.555 CJTPAT DCD+ISI 0.0753 0.1025 0.0272 35.425 48.234 12.809 (HPF Off) TJ 0.1023 0.1344 0.0321 48.156 63.244 15.088 CJTPAT HPF On-Off Delta DCD+ISI 0.0069 0.0229 0.0160 3.269 10.787 7.518 TJ 0.0066 0.0225 0.0159 3.129 10.596 7.467 For every pattern, ISI increased by 10 ps to 20 ps with the replacement of the short cable with the long cable, depending on the pattern. The CJTPAT pattern with HPF On had the highest absolute DCD+ISI and also produced the highest relative change in DCD+ISI, all other conditions being the same. Comparing with ISI to without ISI cases of CJTPAT HPF On-Off Deltas at the bottom of the table shows a significantly higher DCD+ISI for the with ISI case when the DCD+ISI HPF is On. In the following sections, transition density plots show a general increase in the variation of the mean DCD+ISI at each edge location, and DCD+ISI histograms also show broadening with the insertion of the long cable, as expected. Note that the Y-scales of the transition density plots in the next section are different. The zoomed-in comparison plots of the CJTPAT pattern in Appendix A of the no ISI case versus with ISI case focus on three areas which have significant transition density changes. The Y-scale of the plots in Appendix A were matched as close as possible, while the X axis was shifted by approximately 20 UI for the with ISI case due to the phase difference with the long cable. 5 of 15

V. TEST RESULTS: TRANSITION DENSITY PLOTS DCD+ISI = 27.796 ps TJ = 41.342 ps Fig. 1, K28.5 Pattern, Without ISI DCD+ISI = 43.880 ps TJ = 59.830 ps Fig. 2, K28.5 Pattern, With ISI With vs. Without ISI Delta for IDLE DCD+ISI = 16.084 ps, TJ = 18.488 ps 6 of 15

V. TEST RESULTS: TRANSITION DENSITY PLOTS (cont.) DCD+ISI = 33.909 ps TJ = 48.665 ps Fig. 3, IDLE Pattern, Without ISI DCD+ISI = 44.343 ps TJ = 59.538 ps Fig. 4, IDLE Pattern, With ISI With vs. Without ISI Delta for IDLE DCD+ISI = 10.434 ps, TJ = 10.873 ps 7 of 15

V. TEST RESULTS: TRANSITION DENSITY PLOTS (cont.) DCD+ISI = 38.117 ps TJ = 51.527 ps Fig. 5, CRPAT Pattern, Without ISI DCD+ISI = 51.657 ps TJ = 67.676 ps Fig. 6, CRPAT Pattern, With ISI With vs. Without ISI Delta for CRPAT DCD+ISI = 13.540 ps, TJ = 16.149 ps 8 of 15

V. TEST RESULTS: TRANSITION DENSITY PLOTS (cont.) HPF On: DCD+ISI = 38.964 ps TJ = 51.285 ps HPF Off: DCD+ISI = 35.425 ps TJ = 48.156 ps Fig. 7, CJTPAT Pattern, Without ISI HPF On: DCD+ISI = 59.021 ps TJ = 73.840 ps HPF Off: DCD+ISI = 48.234 ps TJ = 63.244 ps Fig. 8, CJTPAT Pattern, With ISI With vs. Without ISI Delta for K28.5 HPF On: DCD+ISI = 20.327 ps, TJ = 22.555 ps HPF Off: DCD+ISI = 12.809 ps, TJ = 15.088 ps 9 of 15

VI. TEST RESULTS: DCD + ISI HISTOGRAMS DCD+ISI = 0.0810 UI TJ = 0.1095UI Fig. 9, CRPAT Pattern, Without ISI DCD+ISI = 0.1098 UI TJ = 0.1438 UI Fig. 10, CRPAT Pattern, With ISI With vs. Without ISI Delta for CRPAT DCD+ISI = 0.0288 UI, TJ = 0.0343 UI 10 of 15

VI. TEST RESULTS: DCD + ISI HISTOGRAMS (cont.) HPF On: DCD+ISI = 0.0822 UI TJ = 0.1090UI HPF Off: DCD+ISI = 0.0753 UI TJ = 0.1023 UI Fig. 11, CJTPAT Pattern, Without ISI HPF On: DCD+ISI = 0.1254 UI TJ = 0.1569 UI HPF Off: DCD+ISI = 0.1025 UI TJ = 0.1344 UI Fig. 12, CJTPAT Pattern, With ISI With vs. Without ISI Delta for CJTPAT HPF On: DCD+ISI = 0.0432 UI TJ = 0.0479 UI HPF Off: DCD+ISI = 0.0272 UI, TJ = 0.0321 UI 11 of 15

VII. CONCLUSIONS The transition density plot for every pattern showed a significant increase in DCD+ISI with the insertion of a long cable in place of a short cable, as expected. The results can also be seen in a widening of the DCD+ISI histograms. Increased DCD+ISI when using the long cable manifests itself in two ways: most edges have more extreme DCD+ISI averages given a steady transition density, and greater excursions of the mean DCD+ISI for a shift in the average transition density. This can be best observed by comparing excursions of the LPF or HPF lines on the transition density plots for the with/without ISI cases of long patterns CRPAT or CJTPAT. This is easiest to observe in the zoomed transition density plots of CJTPAT in Appendix A. In the special case of comparing DCD+ISI HPF On versus Off for CJTPAT, DCD+ISI increased 0.0229 UI with the HPF On for the long cable, but increased 0.0069 UI with the HPF On for the short cable. Since enabling the DCD+ISI HPF models the performance of a recovered clock, this sensitivity to introduced ISI implies that a recovered clock will also exhibit this performance under similar conditions. 12 of 15

APPENDIX A DETAILED CJTPAT TRANSITION DENSITY PLOT COMPARISON Without ISI With ISI 13 of 15

APPENDIX A DETAILED CJTPAT TRANSITION DENSITY PLOT COMPARISON (cont.) Without ISI With ISI 14 of 15

APPENDIX A DETAILED CJTPAT TRANSITION DENSITY PLOT COMPARISON (cont.) Without ISI With ISI 15 of 15