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4 +

5 From Tradeoffs of Receive and Transmit Equalization Architectures, ICC006,Bryan Casper, Intel Labs

6 Transmitter Receiver 0 magnitude (db) frequency (GHz).

7 Receiver Transmitter FFE + DFE Analog Digital IC

8 Equalizer Emulation Receiver Transmitter FFE + DFE Analog Digital

9

10

11 ( ) = Q.5 GHz 30 in MHz mi Q.5 GHz 30 MHz

12 0 0 Gain = 00 Gain = (-a) y( n) = ax( n ) + ( a) x( n)

13 : ( ) :

14 db = 4.35 [R(f)/Z 0 + G(f) Z 0 ], R(f) = R 0 + R s (f), G(f) = G 0 + Π f δ C FR4 dielectric, 8 mil wide and m long 50 Ohm strip line Transfer function Frequency.0E+06.0E+07.0E+08.0E+09.0E+0 Frequency, Hz Total loss Conductor loss Dielectric loss

15

16 (Tanδ = 0.007) RM :.3 µm 0 0.0E E+09.0E+0.5E+0.0E Loss, db Cond. loss w/o R Cond. loss with R Dielectric loss Total loss w/o R Total loss with R urface roughness a significant potential issue! -30 Frequency, Hz

17 : L d C d V r = L d V i Z0 Tr V r = -C d Z0 V i Tr Impedance, Ohms Z - Z Z + Z Package Z Z TDR impedance profile LC Time, ns LC via Connector BP via BP

18 = 7.5 mm (300 mil) = 50 ps Normalized output ingle stub (50 ps, 50 ohms) 0.4 Two stubs (50 ps, 50 Ohms) 0. ingle stub (50 ps, 30 ohms) ingle stub (7 ps, 50 ohms) 0.0.0E+08.0E+09.0E+0 Frequency, Hz :.5mm : 5mm

19 TX DATA RX DATA A T A R B C T C R D 0 gh-gh conn. (baseline) : Normalized Raw and eq pulse response: PR length after main A T, T,R R C T, T,R R D 4 A T, T,R R B T -8

20 ( ) αl*di/dt ( )

21 + + +

22 60. Fb 40 0 magnitude (db) frequency (GHz) 00. Fb 00 phase (degrees) frequency (GHz)

23 .5.5. Linear Equalizer. DFE

24 Rms amplitude time (UI) 0 Error : absolute error time (UI)

25

26

27 DFE, FFE PLL PLL DFE +

28 DFE 0

29 DFE

30 DFE

31 0

32 FFE

33 Pre-Cursor Taps D D Pre-cursor tap C -0.3 C C.4-0.5

34 DFE (Decision Feedback Equalizer) D D C -0.4 C C

35

36 Virtual Probing Receiver Transmitter FFE + DFE CHANNEL CHANNEL /N Analog Digital

37 TDR TDR

38 Z =Z O 00% 0% Z O ( )

39 V MAX V MIN :, Γ Z Z O Γ= V R /V I =(Z L -Z O )/(Z L +Z O ) = ρ /Φ Z L ρ = Γ V I V R, in db RL= -0 Log(ρ) (VWR) 0 < ρ < < VWR < < RL < 0 db VWR= V MAX /V MIN =(+ρ)/(-ρ)

40 VWR,,

41 Z Z O Z L

42 Z a, Incident Voltage b = a + a b = a + a a, Incident Voltage Z L b, Reflected Voltage b, Reflected Voltage : = b /a a =0, = b /a a =0, = b /a a =0, = b /a a =0 Z, Y, H :

43 Z a, b = a + a b = a + a a, Z L b, b, = b /a a =0 = b /a a =0 = b /a a =0 = b /a a =0

44 T Z a, Incident Voltage a, Incident Voltage Z L b, Reflected Voltage b b s = s b a T = T s s T T a a a b b, Reflected Voltage a b a b T T T T T T = = T T T T T T T T T T

45 a b T b a b a T = T but a b Therefore b a T T a b b' = a' T = T T T a ' b ' T' b ' a ' b a' T ' T ' T ' T ' ' T ' T ' = T ' a' b' T' a' b' T. T T T

46 , 4 (&3, &4) p 4 4 = a a a a b b b b = c c d d c c d c d c c c c c d c d c c d c d d d d d c d c d d d d d c c d d a a a a b b b b c c 4 port network 4 3

47 Virtual Probing parameter files ystem definition file ( 8 )

48 Virtual Probing 0.05 bsp bsm V sp 3 T V 4 sm spa bsp b a spb a b sma bsm b a smb a b 0.05 T V lp V lm lpa b3 a lpb a3 b lma b4 a lmb a4 b L L FIR

49 Virtual Probing /N

50

51 Transmitter Receiver PCB_Trace Coupling_Cap PCB_Trace Output VT Ideal ignal Flow Probing Point PCB_Trace Coupling_Cap PCB_Trace Output Probe Measure ignal Flow during ignal Measurement cope

52 Eye Doctor = Virtual Probing + Equalizer Emulation Virtual Probing Equalizer Emulation Receiver Transmitter FFE + DFE

53

54 4 (Lattice ) 4 DD DD

55 Odd Mode (Port ) Odd Mode (Port ) Even Mode (Port ) Even Mode (Port )

56 DD (Port ) DD (Port ) CC (Port ) CC (Port )

57

58 Odd Mode (Port ) Odd Mode (Port ) Even Mode (Port ) Even Mode (Port )

59

60

61

62 PCI Express Gen

63 PCI Express Gen

64 . Equalizer Emulation. Virtual Probing A-0

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