10GBASE-T: 10Gbit/s Ethernet over copper

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10GBASE-T: 10Gbit/s Ethernet over copper NEWCOM-ACoRN Joint Workshop www.newcom-acorn.org Vienna, 20-22 September 2006 Gottfried Ungerboeck 1 Contents Introduction & Ethernet evolution Link characteristics 10GBASE-T modulation and equalization 10GBASE-T coding and framing Decision-point SNR and power control Front-end and echo cancellation challenges Transceiver realization Start-up procedure Status and outlook 2

Ethernet over UTP copper is ubiquitous 4-pair UTP cable + RJ-45 connector: fast, secure, cheap 3 Ethernet over UTP copper is ubiquitous Total Ethernet ports (switch + client) shipped through 2004: >> 2 Billion (BRCM estimate) Estimated WW Installed Base (Copper links) 315 million Cat6 Estimated WW installed base of copper links 3.7 million Cat7 139 million Cat5 462 million Cat5e Cat5 / old class D Cat5e / new class D Cat6 / class E Cat7 / class F (BSRIA) % Distribution 18% 16% 14% 12% 10% 8% 6% 4% 2% 0% Length distribution of installed cabling* Installed Cable Length Distribution 0 10 20 30 40 50 60 70 80 90 100 110 Length (m) Sources: Hubbell, Seimon Co., Nordx/CDT, Cabling Partnership, & Fluke; 120K links surveyed * shorter distances for data centers only 4

Evolution of Ethernet Ethernet drawing by Bob Metcalfe, around 1976 In the meanwhile, the ETHER bus has evolved into a topology of connected stars, in which stations are attached to the network nodes via point-to to-point links. Repeaters are replaced by switches. The Carrier-Sense Multiple Access with Collision Detection (CSMA/CD) protocol no longer plays a critical role. The Ethernet Frame Format has been retained. 5 IEEE 802.3 (Ethernet) Standard Latest consolidated version of 9 Dec 2005 Comprises 67 clauses, 2696 pages (Clause 55 reserved for 10GBASE-T) 10GBASE-T approved on 21 July 2006. 6

Ethernet Physical Layers (PHYs( PHYs) ) for Copper 1 Mbit/s: 1BASE5 (coax) 10 Mbit/s: 10BASE5, 10BASE2, 10BROAD36 (coax) Deployed in huge quantities 10BASE-T (2-pair UTP-3, 1 x 10 Mbit/s, HDX, 1991) 100 Mbit/s: 100BASE-T4 (4 pair UTP-3, 3 x 33 Mbit/s, HDX) 100BASE-TX (2-pair UTP-5, 1 x100 Mbit/s, FDX, 1995) 100BASE-T2 (2 pair UTP-3, 2 x 50 Mbit/s, dual DX, 1997) 1Gbit/s: 1000BASE-T (4-pair UTP-5, 4 x 250 Mbits, quad DX, 1999) UTP-3: unshielded twisted pair category 3 (voice grade) UTP-5: unshielded twisted pair category 5 (data grade) 10Gbit/s: 10GBASE-T (4-pair UTP- 6 or better, 4 x 2.5 Gbit/s, quad DX, 2006) 7 Ethernet Copper PHY Progression As data rates increase, copper PHYs must become increasingly more sophisticated to operate over UTP cabling 10 Mbps 2-pair HDX Manchester 2-pair HDX/FDX 4-pair quad DX 100 Mbps 2-pair FDX Scrambling MLT-3 Equalization 1000 Mbps 4-pair quad DX Scrambling Echo & NEXT canc. PAM-5 TCM (8st 4D) Parallel DFE 10 Gbps 4-pair quad DX Scrambling Echo & NEXT canc. 128-DSQ LDPC + CRC TH precoding Matrix FFE PCS frames TX power control Complex training procedure 8

10BASE-T T and 100BASE-TX modulations 10BASE-T: 10 Mbit/s over 2-pair UTP-3 (voice grade, 1991) 100BASE-TX: 100 Mbit/s over 2-pair UTP-5 (data grade, 1995) MLT-3 signal 1 0 1 1 1 0 1 0 0 1 9 10GBASE-T: 4-pair 4 quad DX Like 1000BASE-T, but 10 times faster and more sophisticated... 10

Link characteristics and achievable rate 11 Link segment characteristics specified for 10GBASE-T "The cabling system used to support 10GBASE-T requires... ISO/IEC 11801 Class E or Class F 4-pair balanced cabling with a nominal impedance of 100 Ω" i.e., cabling better than Cat 5 Link segment characteristics include the effects of work area & equipment cables and connectors Cabling types and distances: Class E* / Category 6***: unscreened Class E* / Category 6***: screened Class F* and Class E A **/ Augmented Category 6 **** 55 m 100 m 100 m * ISO/IEC TR-24750, ** ISO/IEC 11801 Ed 2.1, *** TIA/EIA TSB-155, **** TIA/EIA-568-B.2-10 12

Class E / Category 6: unscreened, 55 m 0 linkchar10gbaset(cabling='class Eu',L=55),12-Sep-2006-10 G CABLE (f) 2, C PSANEXT (f), C PSA FEXT (f) [db] -20-30 -40-50 -60-70 -80 0 100 200 300 400 500 Frequency f [MHz] 13 Class E / Category 6: screened, 100 m 0 linkchar10gbaset(cabling='class Es',L=100),12-Sep-2006-10 G CABLE (f) 2, C PSANEXT (f), C PSA FEXT (f) [db] -20-30 -40-50 -60-70 -80 0 100 200 300 400 500 Frequency f [MHz] 14

Classes F and E A / Augmented Category 6, 100 m 0 linkchar10gbaset(cabling='class F',L=100),12-Sep-2006-10 G CABLE (f) 2, C PSANEXT (f), C PSA FEXT (f) [db] -20-30 -40-50 -60-70 -80 0 100 200 300 400 500 Frequency f [MHz] 15 Achievable bit rate vs modulation rate Class E / Category 6: screened, 100m Transmit power P T = 5 dbm, background noise N 0 = -140 dbm/hz ANEXT from same kind transmission, AFEXT ignored f 1= 0 f 1 = 1/ 4T f 1= 3 / 8T f 1= 1/ 2T f 2 = 1/ 2T This motivated the choice of 800 Mbaud. 800 Mbaud x 3.125 bit/dim x 4 pairs = 10 Gbit/s 16

Modulation and equalization 17 10GBASE-T T modulation and equalization At 800 Mbaud, a 4-pair UTP cable acts like a MIMO ISI channel. MIMO-OFDM cannot be used because 10GBASE-T transceiver latency is required to be 2.56 μsec Hence the following choice: 800 Mbaud baseband transmission using 16-PAM: 4 bit/dim, reduced to 3.125 bit/dim by 2-D alphabet partitioning and coding. Link training: decision-feedback receiver structure with adaptive matrix feedforward filter (4x4 FFF) and scalar feedback filters (4 FBFs). Matrix FBF not needed because cable transfer function is strongly diagonal-dominated. Data mode: Feedback filters are swapped to transmitter. Tomlinson- Harashima precoding in transmitter. Matrix FFF in receiver. 18

Tomlinson-Harashima (TH) precoding a n mod ulo 2M 2 M k n x n w n y n 1/ h(d) h(d) = 1 + h D h D 2 1 + 2 ( ) ) a (D) x (D) = a(d) + 2M k(d) / h(d y (D) = a(d) + 2M k(d) + w(d) = a n M - PAM ± { ± 1, ± 3, (M -1)} 2 M x n < M : σ 2 x = M /3 2M 2M σ 2 w Signal-to-noise ratio SNR = σ 2 x / σ 2 w 19 TH precoding: symbol distribution Symbol values vs. time Symbol distribution PAM-16 expanded PAM-16 basic 20

Coding and framing 21 Towards LDPC-coded 128-DSQ modulation First proposal for 10GBASE-T: interleaved RS coding concatenated with 4-D 16-state TCM. Decoding complexity was low. Performance was OK with sufficient interleaving. Possibility of iterative decoding was considered. 10GBASE-T task force considered latency caused by RS byte interleaving/deinterleaving unacceptable. The majority favored short-block LDPC coded modulation, initially with a 2-D 128-point doughnut constellation (3.5 bit/dim). Finally (2048,1723) LDPC* coded 128-DSQ was adopted. * H matrix construction is based on Generalized RS(32,2,31) code over GF(2 6 ) (similar to Djurdjevic et al., "A class of low-density parity-check codes constructed based on Reed- Solomon codes with two information symbols," IEEE Commun. Letters, vol. 7, pp. 317-319, July 2003). 22

128-point 2-D 2 D constellations (3.5 bit/dim) M - PAM = { ± 1, ± 3, ± (M -1)} Δ 0 = 2 Δ 0 = 2 2 2 M = 24 2 M = 32 Signal energy per dimension at precoder output E x = (2M) 2 /12 E 2 x 0 = 2 x 0 = / Δ = 48/ 4 12 E / Δ = (256/ 3) / 8 10. 666 23 128-DSQ partitioning into 16 subsets ("12 db" partitioning) Δ 0 Δ 4 = 4Δ 0 ( + 12 db) 24

10GBASE-T T coding, framing, symbol mapping 25 Error performance Shannon Limit > 8dB coding gain BER=10-12 @ SNR = 31.5 db uncoded BER=10-12 @ SNR = 23.32 db with LDPC (2048,1723) 128-DSQ BER with TCM (estimated) 26

128-DSQ constellation, modulo-32 extended 011 101 011 101 011 101 4 coded bits: Gray (d H = 1) 001 111 010 100 001 111 010 100 001 111 010 100 000 110 000 110 000 110 011 101 011 101 011 101 001 111 001 111 001 111 010 100 010 100 010 100 000 110 000 110 000 110 3 uncoded bits: pseudo-gray (d H = 1 or 2) 011 101 001 111 010 100 011 101 001 111 010 100 011 101 001 111 010 100 000 110 000 110 000 110 27 Metric calculation for 4 coded bits x 2 1 R 0.5 0.5 (s 0.5 0.5 (s 1 2 + 15) / 2 + 15) / 2 x = x 1 2 x 1 Pr(c 0 / x ) log 1 = 1 = llrb (x1 mod 4) Pr(c1 = 1/ x1) Pr(c3 = 0 / x 2 ) log = llrb (x 2 mod 4) Pr(c3 = 1/ x 2 ) Pr(c 0 / x ) log 2 = 1 = llrb (x1 + 1 mod 4) Pr(c 2 = 1/ x1) Pr(c 0 / x ) log 4 = 2 = llrb (x 2 + 1 mod 4) Pr(c 4 = 1/ x 2 ) 28

The function llrb(x) 4 x llrb (x) = ln k= k= exp exp 2 2 ( [ x (4k + 0) ] / 2σ ) + exp [ x (4k + 1) ] 2 2 ( / 2σ ) 2 2 ( [ x (4k + 2) ] / 2σ ) + exp [ x (4k + 3) ] 2 2 2 σ ( / 2σ ) x 3.5 : 2.5 x 4 1 x + 0.5 : 0 x 0.5 1.5 x : 0.5 x 2.5 1.5 1 2 llrb (x) σ 0.5 0-0.5-1 -1.5 0 0.5 1 1.5 2 2.5 3 3.5 4 x 29 Decision-point SNR versus cable length 30

Decision-point SNR vs. cable length Cable Class E screened; worst-case ANEXT from adjacent links transmitting at P T = 5 dbm; AWGN = -140 dbm/hz; ideal precoding response, ideal receiver filter and FFF equalization P P P P P T T T T T = 19 dbm = 13 dbm = 7 dbm = 1 dbm = + 5 dbm Tiny margin SNR req 23.5 db 31 Near-far problem for 10GBASE-T Worst case alien crosstalk configuration: short cable bundled at the end with long cable(s) hyb. hyb. large hyb. hyb. small TX power of short link can be reduced without impacting short-link BER, and should be reduced to improve long-link BER. 32

Decision-point SNR vs cable length: conclusions SNR margin for 100m Class E screened cable is tiny even for ideal transceiver realization 10GBASE-T requires TX power control Transmit power options adopted for 10GBASE-T Maximum power P max = 3.2 5.2 dbm Power backoff levels: 0, -2, -4, -6, -8, -10, -12, -14 db Power backoff must be used for shorter cables 33 Transceiver front end and echo cancellation 34

10GBASE-T T transmit PSD specification 5 The 10GBASE-T Task Force could not agree on a tighter specification. This loose specification allows for a wide range of PSD shapes except one with a wider spectral notch around dc! 35 Transmitter front-end: simple 800 Ms/s current DAC Trivial FE filter f 3dB = 300 MHz 1:1 TH precoder Z I C R V CT Z R Adaptive all-digital echo canceller 800 Ms/s ADC Receive filter RF VGA R = 100 Ω C = 10.6 pf - power efficient at expense of missing analog hybrid function - poor out-of-band signal suppression - backwards termination marginal - TX PSD depends significantly on transformer 36

DAC & ADC precision requirements (f ) H T (f ) G C from THP 16 x n < 16 c EC(D) + DAC e n DAC RC smoothing H E (f ) Trans- RC smoothing former HT (f )G (f ) C DAC x n to FFF z n ADC e n + ADC G R (f ) Receive filter ADCinput range : ± 6 σadcin Decision-point SNR mmse [db] with DAC and ADC errors only (no noise, no alien Xtalk) enob(adc) 8 9 10 enob(dac) 8 9 10 <25 <25 <25 <25 <28 <28 28.17 30.25 31.05 enob(adc) enob(dac) 9 10 11 11 <25 <25 <25 12 <25 <28 28.36 13 <25 28.18 31.89 50 m Class E 100 m Class E 100 m: "simple" front-end requires unrealistic DAC & ADC precision, other approach is needed. enob = equivalent number of bits 37 Transceiver realization 38

Transceiver block diagram 39 Partitioned frequency-domain filter 40

Start-up procedure 41 Start-up procedure 42

Status and outlook 43 The IEEE P802.3an (10GBASE-T) time line 44

Outlook 10GBASE-T: the ultimate copper PHY? Pushing everything to the limit: data rate, cable length, transceiver front-end, signal converters, modulation and coding, length of adaptive filters, speed in every respect Very large chip. Estimated 10M gates, 10 W (65nm) Big challenge for 100 m: front-end DACs, ADCs Main/initial market for 10Gbit/s over copper: short reach Intermediate solutions Short-haul 10GBASE-T implementations: 30 m Copper FiberChannel : 1, 2, 4 Gbit/s; 50 100 m Cat5/5A 45