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400GbE AMs and PAM4 test pattern characteristics Pete Anslow, Ciena IEEE P802.3bs Task Force, Logic Ad Hoc, December 205

Introduction A PRBS3Q short test pattern was added to P802.3bs D. and there has been a proposal to use PRBS3Q as a long test pattern. This contribution analyses the performance of these test patterns. The alignment markers for 400GbE are TBD. This contribution also proposes some marker values and analyses the performance of them. 2

Baseline wander Previous NRZ contributions have used a baseline wander parameter This was defined as: Baseline wander is the instantaneous offset (in %) in the signal generated by AC coupling at the Baud rate / 0,000. This analysis re-uses this definition unmodified, but it should be noted that for PAM4, the eye height is /3 that of NRZ so the effects of a given amount of baseline wander will be greater. For NRZ contributions see: P802.3ba anslow_0_008 P802.3ba anslow_06_08 P802.3bj anslow_0a_02 3

Clock content Previous NRZ contributions have also used a clock content parameter defined as: Create a function which is a for a transition and a 0 for no transition and then filter the resulting sequence with a corner frequency of Baud/667. This analysis re-uses this definition unmodified but defines a transition as one of three possibilities (as per healey_3bs_0_5): Symmetrical transitions through the signal average Transitions through the signal average All transitions Symbol Stream symbol delay Transition = No transition =0 Filter with corner frequency Baud/667 Output 4

Clock content illustration Symmetrical transitions through the signal average All transitions Transitions through the signal average 5

PRBS3Q and PRBS3Q The following slides contain the baseline wander and three clock content probability density plots for: Random data (solid green) Fit to random data (dotted green) PRBS3Q (blue) PRBS3Q (red) Where the PRBS3Q pattern was formed as per PRBS3Q but with a PRBS3 NRZ starting pattern in place of the PRBS3 pattern. 6

Baseline wander 0,000 year limit 0,000 year limit 0.0 0.000 E-06 Random PRBS3Q Probability of ocurrence E-08 E-0 E-2 E-4 E-6 E-8 E-20 PRBS3Q E-22 E-24 Fit to random E-26-0% -5% 0% 5% 0% Baseline Wander 7

Clock, symmetric transitions through ave. 0,000 year limit 0,000 year limit 0.0 0.000 E-06 PRBS3Q Probability of ocurrence E-08 E-0 E-2 E-4 E-6 E-8 E-20 Random PRBS3Q E-22 E-24 Fit to random E-26 0.00 0.0 0.20 0.30 0.40 0.50 Clock Content 8

Clock, transitions through ave. 0,000 year limit 0,000 year limit 0.0 Probability of ocurrence 0.000 E-06 E-08 E-0 E-2 E-4 E-6 E-8 E-20 E-22 PRBS3Q PRBS3Q Random Fit to random E-24 E-26 0.20 0.30 0.40 0.50 0.60 0.70 0.80 Clock Content 9

Clock, all transitions 0,000 year limit 0,000 year limit 0.0 0.000 Probability of ocurrence E-06 E-08 E-0 E-2 E-4 E-6 E-8 E-20 PRBS3Q Random PRBS3Q E-22 E-24 Fit to random E-26 0.40 0.50 0.60 0.70 0.80 0.90.00 Clock Content 0

Alignment markers In D., Table 9- defines 20-bit alignment markers with a 64-bit common part of 0xC, 0x68, 0x2, 0xF4, 0x3E, 0x97, 0xDE, 0x0B followed by a 56-bit unique part. The alignment markers for 40 and 00 GbE were defined in anslow_06_08 and anslow_0_008, respectively. The codes used were generated using a section of the + x 39 + x 58 scrambler output with all zeros input. This contribution proposes a set of 56-bit unique part alignment markers for 400 GbE based on a section of the + x 39 + x 58 scrambler output with all zeros input. The markers were chosen so that each byte of the unique part (M 8, M 9, etc.) is unique for each marker including the 20 x 00 GbE, 4 x 40 GbE, and markers used by OIF for MLG. Bytes 2, 3, and 4 of the marker were formed from the inverse of bytes 8, 9, and 0 to minimise the baseline wander caused by the markers. The proposed markers are shown on the next page.

Alignment marker proposal 2

Simulations Using these new alignment codes, all possible combinations of PCS lanes for 2: bit interleaving for 50 Gb/s lanes and 4: bit interleaving for 00 Gb/s lanes were then analysed to find the worst cases for Baseline Wander (BW) and Clock Content (CC) after Gray coding to PAM4 symbols. These searches included lane delays of -40 to +40 bits for each PCS lane for the 2: case and -20 to +20 for the 4: case. The worst case PCS lane combinations and delays were then used to generate the worst case PDFs for 400 GbE scrambled idle 50 Gb/s lanes and 00 Gb/s lanes. 3

Scrambled idle construction The scrambled idle symbol streams generated for this analysis were: Idle control characters 256B/257B transcoded Scrambled Distributed 0 bits at a time to two FEC codewords which start with alignment markers and 36 bits of PRBS9 one in every 892 code words 300 bits of RS(544,54) FEC parity added Interleaved 0 bits at a time to form PCS lanes (option 8a) Bit interleaved with worst case PCS lane combinations and delays The results for baseline wander and clock content are in slides 5 to 8 for 50 Gb/s lanes and slides 9 to 22 for 00 Gb/s lanes. 4

Baseline wander, 50G lanes Probability of ocurrence 0.0 0.000 E-06 E-08 E-0 E-2 E-4 E-6 E-8 E-20 case for min BW 0,000 year limit 0,000 year limit PRBS3Q Random case for max BW PRBS3Q E-22 E-24 Fit to random E-26-0% -5% 0% 5% 0% Baseline Wander 5

Clock, symmetric trans. through ave., 50G lanes 0,000 year limit 0,000 year limit 0.0 0.000 E-06 case for min CC case for max CC Probability of ocurrence E-08 E-0 E-2 E-4 E-6 E-8 E-20 PRBS3Q Random PRBS3Q E-22 E-24 Fit to random E-26 0.00 0.0 0.20 0.30 0.40 0.50 Clock Content 6

Clock, transitions through ave., 50G lanes 0.0 0.000 0,000 year limit 0,000 year limit case for min CC case for max CC Probability of ocurrence E-06 E-08 E-0 E-2 E-4 E-6 E-8 E-20 E-22 PRBS3Q PRBS3Q Random Fit to random E-24 E-26 0.20 0.30 0.40 0.50 0.60 0.70 0.80 Clock Content 7

Clock, all transitions, 50G lanes 0,000 year limit 0,000 year limit 0.0 0.000 case for min CC case for max CC Probability of ocurrence E-06 E-08 E-0 E-2 E-4 E-6 E-8 E-20 PRBS3Q Random PRBS3Q E-22 E-24 Fit to random E-26 0.40 0.50 0.60 0.70 0.80 0.90.00 Clock Content 8

Baseline wander, 00G lanes 0.0 0.000 E-06 0,000 year limit 0,000 year limit case for min BW case for max BW PRBS3Q Probability of ocurrence E-08 E-0 E-2 E-4 E-6 E-8 E-20 PRBS3Q Random E-22 E-24 Fit to random E-26-0% -5% 0% 5% 0% Baseline Wander 9

Clock, symmetric trans through ave., 00G lanes 0,000 year limit 0,000 year limit 0.0 0.000 E-06 case for min CC case for max CC Probability of ocurrence E-08 E-0 E-2 E-4 E-6 E-8 E-20 PRBS3Q Random PRBS3Q E-22 E-24 Fit to random E-26 0.00 0.0 0.20 0.30 0.40 0.50 Clock Content 20

Clock, transitions through ave., 00G lanes 0.0 0.000 0,000 year limit 0,000 year limit case for min CC case for max CC Probability of ocurrence E-06 E-08 E-0 E-2 E-4 E-6 E-8 E-20 E-22 PRBS3Q PRBS3Q Random Fit to random E-24 E-26 0.20 0.30 0.40 0.50 0.60 0.70 0.80 Clock Content 2

Clock, all transitions, 00G lanes 0,000 year limit 0,000 year limit 0.0 0.000 case for min CC case for max CC Probability of ocurrence E-06 E-08 E-0 E-2 E-4 E-6 E-8 E-20 PRBS3Q Random PRBS3Q E-22 E-24 Fit to random E-26 0.40 0.50 0.60 0.70 0.80 0.90.00 Clock Content 22

Effect of common part of lane marker, 2: Worst case clock content for all transitions, 50G lanes. Common part of alignment marker gives 64 symbols as below for zero skew: 3 2.5 64 symbols 29 transitions (48 expected) 29 transitions through ave (32 expected) 0 symmetric trans through ave (6 expected) 2.5 0.5 0 0 20 40 60 80 00 20 23

Effect of common part of lane marker, 4: Worst case clock content for all transitions, 00G lanes. Common part of alignment marker gives 28 symbols as below for zero skew: 3 2.5 28 symbols 29 transitions (96 expected) 29 transitions through ave (64 expected) 0 symmetric trans through ave (32 expected) 2.5 0.5 0 0 50 00 50 200 24

Conclusions The baseline wander and clock content for 0,000 years of random data should be equalled or exceeded by test patterns used for BER testing. PRBS3Q does this for all but the clock for symmetric transitions through the signal average, so it looks like a reasonable choice for a stressful test pattern. PRBS3Q is much less stressful than either random data or scrambled idle, so is ok as a replacement for PRBS9, but is not suitable for BER related tests. The common part of the 20-bit alignment markers causes a significant shoulder on the clock density plots for 4: bit interleaving for 00 Gb/s lanes. 25

Backup 26

Worst case lane combinations 2: bit interleaving for 50 Gb/s lanes First lane Second lane First lane delay Second lane delay wander_max 0 6 0 0 wander_min 3 7 0 32 clock25_max 8 0-8 clock25_min 6 8 0 0 clock50_max 0 0 4 clock50_min 0 0 clock75_max 0 0-24 clock75_min 0 0 0 4: bit interleaving for 00 Gb/s lanes First lane Second lane Third lane Fourth lane First lane delay Second lane delay Third lane delay Fourth lane delay wander_max 2 3 0 6 0 0 20 20 wander_min 6 4 3 7 0-4 8 clock25_max 2 9 3 0 0-2 - clock25_min 9 3 5 0 0 0 0 clock50_max 0 2 3 0 4-2 7 clock50_min 0 9 2 0 0 clock75_max 3 3 9 0 0-3 8 clock75_min 4 4 2 0 0 0 0 27

Thanks! 28