Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 1 of 104 PageID #: 966
`2“Illllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllm
`
`US00757l062B2
`
`(12) Ulllted States Patent
`Henry et al.
`
`(10) Patent No.:
`(45) Date of Patent:
`
`US 7,571,062 B2
`*Aug. 4, 2009
`
`(54) DIGITAL FLOWMETER
`
`(56)
`
`References Cited
`U.S. PATENT DOCUMENTS
`
`(75)
`
`Inventors: Manus P. Henry, Oxford (GB); David
`W Clarke, Oxford
`James H_
`Vignos, Needham Heights, MA (US)
`
`(73) Assignee:
`
`( * ) Notice:
`
`Invensys Systems, Inc., Foxboro, MA
`(US)
`Subject to any disclaimer, the term of this
`patent is extended or adjusted under 35
`USC. 15403) by 0 days.
`
`This patent is subject to a terminal dis-
`
`C1aimer'
`
`(21) Appl. No.: 11/555,033
`
`(22)
`
`Filed:
`
`Oct 31, 2006
`
`3,956,682 A
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`
`5/1976 Van Dyck ................. .. 318/640
`9/1977 Gallatin et al.
`.............. .. 137/14
`
`(Continued)
`FOREIGN PATENT DOCUMENTS
`
`EP
`
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`
`2/1996
`
`(Continued)
`
`OTHER PUBLICATIONS
`
`A.F. Skea, “Effects of Gas Leaks in Oil Flow on Single-Phase
`Flowmeters”, Flow Measurement and Instrumentatzon, vol. 10, pp.
`
`(65)
`
`Prior Publication Data
`
`146450 0999)’
`
`US 2007/0124090 A1
`
`May 31, 2007
`
`Related US‘ Application Data
`(63) Continuation of application No. 11/130,233, filed on
`May 17, 2005, now Pat. No. 7,136,761, which is a
`continuation of application No. 10/637,620, filed on
`.
`.
`.
`.
`Aug‘ 11’ 2003’ now Pat‘ NO‘ 6’917’887’ which is a
`Commuanon of apphcanon N0 09/931=057= filed on
`Aug 17: 2001: 110W P31 N0- 6s754s594s which is 3
`COI1tiI111ati0I1 Of application N0. 09/ 111,739, filed 011
`Jul. 8, 1998, now Pat. No. 6,311,136.
`(60) Provisional application No. 60/066,554, filed on Nov.
`26> 1997'
`
`(51)
`
`Int‘ Cl‘
`(200601)
`G06F 15/00
`(52) U.S. Cl.
`.............. .. 702/45; 73/861.355; 73/861.356
`(58) Field of Classification Search ..................... .. None
`See application file for complete search history.
`
`(Continued)
`P '
`E
`' —M
`l L B b
`(7r43n:42}0r7:Ce(j:nz:1]:ernz, 0ra1I*1l::n—Fiasrh 6;: Richardson P.C.
`
`(57)
`
`ABSTRACT
`
`P
`P
`A controller for a flowmeter includes an in ut module o er-
`able to receive a sensor signal from a sensor connected to a
`vibratable flowtube.The sensor signalisrelatedtoafluid flow
`through the flowtube. The controller also includes a signal
`processing system operable to receive the sensor signal,
`d
`.
`.
`1 h
`.
`.
`d
`d .
`.
`_
`nzjecrllllilglitiililstoigssltilrlaa
`:1CStiegIE1:t11::)’p211?edotlonfi?E: flgxlijgi
`An output module is operable to output the drive signal to the
`flowtube and a control system is operable to modify the drive
`signal and thereby maintain oscillation ofthe flowtube during
`a transition ofthe flowtube from a substantially empty state to
`a substantially full state.
`
`48 Claims, 71 Drawing Sheets
`
`Massflow
`Measurement
`
`100
`
`105
`
`/M
`
`
`
`
`Digital
`Controller
`
`Temp.
`Sensor
`II
`I
`
`Flow Tube
`
`115
`
`120
`
`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 2 of 104 PageID #: 967
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 2 of 104 Page|D #: 967
`
`US 7,571,062 B2
`Page 2
`
`............ .. 73/61.44
`11/2001 Dutton et al.
`6,318,156 B1
`. 73/861.356
`11/2001 Smith et al.
`6,318,186 B1
`73/361,356
`12/2001 Dutton
`6,327,914 B1
`4/2002 Sharp ....................... .. 73/1.16
`6,378,354 B1
`1/2003 Hemy et 31,
`,
`73/361,356
`6,505,519 B2
`1/2003 Henryeta1.
`................ .. 702/45
`6,507,791 B2
`4/2003 Zuckerwar etal.
`........ .. 600/528
`6,551,251 B2
`5/2003 Dutton et a1,
`73/61,44
`6,564,619 B2
`
`................ .. 702/45
`6/2004 Henry eta1.
`6,754,594 132*
`7/2005 Hemy et 31,
`6,917,337 B2
`................ .. 702/45
`7,136,761 132* 11/2006 Henry eta1.
`............ .. 73/61.44
`2002/0033043 A1
`3/2002 Dutton etal.
`................ .. 702/45
`2002/0038186 A1
`3/2002 Henry eta1.
`2002/0133307 A1
`9/2002 Maginnis .................. .. 702/100
`
`
`
`..
`
`FOREIGN PATENT DOCUMENTS
`
`3
`EP
`W0
`W0
`W0
`W0
`
`0079092933 :2
`0827096
`W093/21505
`W098/20306
`W000/10059
`WO 02/08703
`
`$333
`3/1998
`10/1993
`5/1998
`2/2000
`1/2002
`
`OTHER PUBLICATIONS
`
`David Spitzer; “Mass Flowmeters”; Industries Flow Measurement,
`Chapter 12; pp, 197-210; 1990.
`E. Lunttaetal., “NeuralNetworkApproachtoUltrasonic FlowMea-
`surements”, Flow Measurement and Instrumentation, vol. 10, pp.
`35-43,1999.
`European Search Report issued in European Patent Application No.
`EP 04021672, mailed Jul, 10, 2007, 3 pages,
`J. Hemp et al.; “On the Theory and Performance of Coriolis Mass
`Flowmeters”; Proceedings oftheInternational Conference on Mass
`FlowMeasurementDirectandIndirect; IBC Technical Services; 40
`P3geS;Feb~1989~
`J.T. Grumski et al., “Performance of a Coriolis-type Mass Flow
`Meter in the Measurement of Two-phase (air-liquid) Mixtures”,
`ASME Fluid Engineering Division Publication FED, vol. 17, pp.
`7584,1984
`JosephDeCarlo;“TrueMass-FlowMeasurement”;Fundamentalsof
`FlowMeasurement, Unit 11-2; pp, 208-220; 1984.
`Kutin, Joie, et al., “Phase-Locking Control ofthe Coriolis Meter’s
`Resonance Frequency Based on Virtual Instrumentation,” Sensors
`undActuut0rsA104 (2003), pp, 86-93,
`VI. Henry et al., “The Implications of Digital Communications on
`Sensor Validation”, Report No. QUEL 1912/92, University of
`Oxford, Department ofEngineering Science, Apr. 1992.
`V1.1’, Henry et al, “A NeWApproach to SensorValidation”, Improv-
`ingAnalyser Performance, IMC, Mar, 17, 1992,
`Vl.P. Henry et al., “A Self-Validating Digital Coriolis Mass-flow
`Vleter”(1); overview, 1999.
`\/l.P.Henryetal.,“AstandardlnterfaceforSelf-Validating Sensors”,
`Report No. QUEL 1884/91, University of Oxford, Department of
`Engineering Science, Sep, 1991,
`V1.1’, Henry et al, “Signal processing, Data Handling and Commu-
`nications: The Case for Measurement Validation”, Mar. 1992.
`\/l.P.Henryetal.,“The Self-Validating Sensor:RationaleDefinitions
`and Examples”, Control Engineering Practice, 1 (4), pp, 585-610,
`1993.
`V1.1’, Henry, “Self-Validation Improves Coriolis Meter”, Control
`Engineering, 42 (6), pp,81_-86(199_5),
`__
`V1e111am'WebSte1’S C°11eg1ate D1°t1°natY, Tenth E0100“, 1998,11
`747~
`,,
`_
`_
`_
`_
`W999’ 9‘ "13, A PhaS‘?'L9°k9d L991’ f°r D“V‘“8 Vlbmnng Tube
`,],3;3"_S,:‘9‘:,‘°"‘°4S’ R9“ S91" 1959991" V91" 90’ N9" 3’ M9“ 1989’ PP‘
`'
`* cited by examiner
`
`U.S. PATENT DOCUMENTS
`
`2/1980 Smith .................. .. 73/861.356
`4,187,721 A
`11/1982 Sanchez ~
`~ 700/31
`4,358,822 A
`11/1983 Smith ....... ..
`. 73/861.35
`RE31,450 E
`4,419,898 A * 12/1983 Zanheretal
`73/80102
`4,422,338 A
`12/1983 Smith ~~~~~~~ ~
`~ 73/861356
`4,491,025 A
`1/1985 Smith et al.
`.. 73/861.355
`4,688,418 A
`8/1987 Cheung etal, ~~~~~~~~ ~~ 73/2901
`4,727,746 A
`3/1988 Mikasa et al.
`73/23.31
`4,757,390 A
`7/1988 Mehrgardtetal
`~~~~ ~ 386/34
`4,773,257 A
`9/1988 Aslesen etal,
`73/6144
`4,782,711 A
`11/1988 Pratt
`~~~~~~~~ ~~
`~~ 73/801350
`1/1989 Flec1<en ~~~~~~~~~~~~~~~ ~~ 331/65
`4,801,897 A
`
`.. 73/861.356
`4,817,448 A
`4/1989 Hargarten et al.
`.
`4,823,614 A *
`4/1989 Dahlin ........ ..
`.. 73/861.357
`4,852,395 A
`8/1989 Kolpak
`73/61.44
`4,852,409 A
`8/1989 Herzl
`.........
`.. 73/861.356
`4,852,410 A *
`8/1989 Corwon etal
`.. 73/861.355
`4,879,911 A
`11/1989 Zolock ........ ..
`.. 73/861.356
`4,891,991 A
`1/1990 Mattaretal.
`.... ..
`.. 73/861.357
`4,895,030 A
`1/1990 Bergaminietal.
`73/861.355
`4,911,006 A
`3/1990 Hargarten et al.
`........... .. 73/198
`4,911,020 A *
`3/1990 Thompson
`.. 73/861.356
`4,934,195 A
`6/1990 Hussain
`.. 73/861.355
`4,934,196 A *
`6/1990 Romano
`.. 73/861.356
`4,996,371 A
`3/1991 Romano
`,, 73/361,356
`5,027,662 A
`7/1991 Titlowetal
`.. 73/861.356
`5,029,432 A
`7/1991 L111 61 31
`73/361,04
`5,050,439 A
`9/1991 Thompson ,,
`,, 73/361,356
`5,052,231 A
`10/1991 Christ etal.
`......... .. 73/861.356
`5,054,313 A
`10/ 1991 1:11Zgem1d 61 31
`,,,, ,, 73/54,27
`5,054,326 A
`10/1991 Mattar ......... ..
`73/861.355
`5,213,369 A
`6/1993 pummer
`,, 73/629
`5,223,327 A
`7/1993 Brook
`73/1,34
`5,259,250 A
`11/1993 Ko1pa1( ,,,,, ,,
`, 73/361,355
`5,271,281 A
`12/1993 Mattaretal.
`......... .. 73/861.355
`5,295,034 A
`3/1994 Amnaohamm 6131,
`,,,,,, ,, 702/50
`5,301,557 A
`4/1994 Cage etal.
`........... .. 73/861.355
`5,321,991 A
`6/1994 Ka1o1ay ,,,, ,,
`,, 73/361,357
`5,343,764 A
`9/1994 Mattar etal.
`. 73/861.355
`5,347,374 A
`9/1994 Ka1o1aye1a1,
`73/361,357
`5,400,653 A
`3/1995 Kalotay eta1.
`.. 73/861.355
`5,429,002 A
`7/1995 Co1eman
`,, 73/361,356
`5,469,743 A
`1 1/ 1995 Ka1o1ay ,,,, ,,
`, 73/36 13 56
`5,497,665 A
`3/1996 Cage etal. ........ .. 73/861.356
`5,497,666 A
`3/1996 Patten 6131,
`,, 73/361,355
`5,535,632 A
`7/1996 Ko1pa1( ,,,,,,,, ,,
`,, 73/361,04
`5,555,190 A
`9/1996 Derbye1a1,
`702/45
`5,570,300 A
`10/1996 Henry etal.
`....... .. 702/45
`5,578,764 A
`11/1996 Yokoietal.
`.......... .. 73/861.356
`5,594,130 A
`1/1997 Carpenter 6131,
`,,,, ,, 73/361,356
`5,648,616 A
`7/1997
`. 73/861.356
`5,654,502 A
`3/1997
`73/152,13
`5,676,461 A
`10/1997
`366/152,2
`5,687,100 A
`11/1997
`702/137
`5,732,193 A
`3/1998 Aberson .................... .. 706/45
`5,734,112 A
`3/ 1993
`73/361,56
`5,774,373 A
`6/1993
`702/104
`5,804,741 A
`9/1998 Freeman .............. .. 73/861.356
`5,877,954 A
`3/1999 Klirnasauskas eta1.
`..... .. 700/29
`5,926,096 A
`7/1999 Mattar etal.
`.............. .. 340/606
`5,969,264 A
`10/1999 Rivkin ................. .. 73/861.356
`6,073,495 A
`6/2000 Stadler ................ .. 73/861.356
`6,092,429 A
`7/2000 Cunningham eta1.
`.. 73/861.356
`6,185,470 B1
`2/2001 Pado et al.
`................ .. 700/104
`10/2001 Smith ............
`6,301,973 B1
`73/861.357
`
`............... .. 600/26
`6,309,342 B1
`10/2001 Blazey et al.
`6,311,136 B1 * 10/2001 Henry et al.
`................ .. 702/45
`
`
`
`,
`.
`
`
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 3 of 104 PageID #: 968
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 3 of 104 PagelD #: 968
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 1 of 71
`
`US 7,571,062 B2
`
`Massflow
`
`Measurement
`
`100
`
`105
`
`Digital
`Controller
`
`120
`
`F|G.l
`
`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 4 of 104 PageID #: 969
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 4 of 104 Page|D #: 969
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 2 of 71
`
`US 7,571,062 B2
`
`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 5 of 104 PageID #: 970
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 5 of 104 Page|D #: 970
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 3 of 71
`
`US 7,571,062 B2
`
`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 6 of 104 PageID #: 971
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 6 of 104 Page|D #: 971
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 4 of 71
`
`US 7,571,062 B2
`
`CL.
`
`o——I——»————gf—————_T——_C. L)
`M
`'
`E2
`LI.
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`._________.____O_1____.________
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`comous MODEA'C i
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`no
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`
`PQ.P!DEFLE:CT|ON
`
`V-._./iV,BD
`
`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 7 of 104 PageID #: 972279
`65
`7wm3H
`C
`
`m:5W.W392
`
`dt
`
`M.eO;
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`..2#BmQm,0,a1pmm7,H.S0U
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`
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`11.SmcmmmmA2;I
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` mLfl00¢Em>:oopVVCa7__P1C6SeCxU
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`BwcmmDM259.62>2;ImlS?v%\\ommov
`mmfim
`
`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 8 of 104 PageID #: 973
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 8 of 104 PagelD #: 973
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 6 of 71
`
`US 7,571,062 B2
`
`L0
`
`LO
`
`LO
`
`3
`
`LD
`
`500
`
`E,
`
`120 Measurements
`
`FIG.5
`
`
`
`DigitalController
`
`LO
`LO
`LO
`
`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 9 of 104 PageID #: 974
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 9 of 104 Page|D #: 974
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 7 of 71
`
`US 7,571,062 B2
`
`500
`
`//
`
`Collect
`
`Data
`
`Determine
`
`Frequency
`
`Determine/Eliminate
`
`
`
`
`
`
`
`
`
`Offset
`
`Determine
`
`Amplitude
`
`Determine
`
`Phase
`
`Generate Drive
`Signal
`
`Generate
`
`Measurements
`
`FlG.6
`
`605
`
`610
`
`615
`
`
`
`620
`
`525
`
`.
`
`
`
`630
`
`635
`
`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 10 of 104 PageID #: 975
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 10 of 104 PagelD #: 975
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 8 of 71
`
`US 7,571,062 B2
`
`Voltage
`
`start_sample_S1
`
`51- in
`
` _.l l._
`
`start_offset_S1
`
`
`
`
`Time
`
`F|G.7A
`
`Voltage
`
`star’t_offset_S2
`
`r4
`
`52- in
`
`
`start-sample_S2
`
`F|G.7B
`
`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 11 of 104 PageID #: 976
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 11 of 104 Page|D #: 976
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 9 of 71
`
`US 7,571,062 B2
`
`0.12
`
`0.1
`
`Sensor Voltage
`(V-V)
`
`0.05
`
`0.04
`
`0.02
`
`0.08 Square of 0
`
`O
`
`0
`
`0.005
`
`0.01
`
`0.015
`
`0.02
`
`0.025
`
`0.03
`
`Time(s)
`
`F I G . 8 A
`
`3 x 10-4
`
`2.5
`
`2
`
`,5
`
`1
`
`0.5
`
`0
`
`Square of
`Sensor Voltage
`(v‘V)
`
`-0.5
`0.0121
`
`0.0121
`
`0.0122
`
`0.0122
`
`0.0123
`
`0.0123
`
`Time(s)
`
`F|G.8B
`
`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 12 of 104 PageID #: 977
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 12 of 104 PagelD #: 977
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 10 of 71
`
`US 7,571,062 B2
`
`900
`
`/V
`
`905
`
`Initialize Variables
`
`910
`
`,
`A
`Estimate end_po:nt
`
`Determine # of Points
`for Curve Fitting
`
`iteration_count = O
`
`915
`
`920
`
`925
`
`iteration_count = lteration_count + 1
`
`930
`
`985
`
`Select step length
`
`ep_int = int end_point + 0.5)
`
`940
`
`945
`
`Smooth z[l<—l]. zlkl, z[l<+’l}
`
`965
`
`
`
`iteratlon_count<3
`
`
`
`975
`
`
`
`950
`
`955
`
`950
`
`HG 9.
`
`N
`
`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 13 of 104 PageID #: 978
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 13 of 104 PagelD #: 978
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 11 of 71
`
`US 7,571,062 B2
`
`1005
`
`Find 11. 12; m. 3=m2
`
`1000
`
`/l/
`
`101 C11, C12
`
`_ D
`
`etermine
`
`12m. 11m2
`
`
`
`
`
`1010
`
`1015
`
`"1020
`
`Determine Start and
`
`End 01 d1m2. d2m1
`
`
`Determine Phase,
`Amplitude for d, and
`
`d2l'111: and Phase
`
`
`Difference
`
`
`
`
`1025
`
`1080
`
`Repeat for
`d2: d1m2
`
`Generate Averages
`of Amplitude 8.
`Phase Differences
`
`
`
`
`
`
`F|G.10
`
`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 14 of 104 PageID #: 979
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 14 of 104 Page|D #: 979
`
`taP
`
`t
`
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`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 17 of 104 PageID #: 982
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 17 of 104 PagelD #: 982
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 15 of 71
`
`US 7,571,062 B2
`
`1405
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`Nominal Frequency
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`
`1400
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`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 18 of 104 PageID #: 983
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 18 of 104 PagelD #: 983
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 16 of 71
`
`US 7,571,062 B2
`
`Mass Flow
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`1500
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`
`
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`FIG. 153
`
`

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`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 19 of 104 PageID #: 984
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`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 20 of 104 PageID #: 985
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 20 of 104 Page|D #: 985
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 18 of 71
`
`US 7,571,062 B2
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`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 21 of 104 PageID #: 986
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 21 of 104 Page|D #: 986
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 19 of 71
`
`US 7,571,062 B2
`
`X 1045
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`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 22 of 104 PageID #: 987
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 22 of 104 Page|D #: 987
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 20 of 71
`
`US 7,571,062 B2
`
`X 166
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`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 23 of 104 PageID #: 988
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 23 of 104 Page|D #: 988
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 21 of 71
`
`US 7,571,062 B2
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`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 24 of 104 PageID #: 989
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 24 of 104 Page|D #: 989
`
`U.S. Patent
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`Aug. 4, 2009
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`Sheet 22 of 71
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`US 7,571,062 B2
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`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 25 of 104 PageID #: 990
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 25 of 104 PagelD #: 990
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 23 of 71
`
`US 7,571,062 B2
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`2205
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`
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`
`

`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 26 of 104 PageID #: 991
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 26 of 104 Page|D #: 991
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`U.S. Patent
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`Aug. 4, 2009
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`Sheet 24 of 71
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`US 7,571,062 B2
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`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 27 of 104 PageID #: 992
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 27 of 104 Page|D #: 992
`
`U.S. Patent
`
`Aug. 4, 2009
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`Sheet 25 of 71
`
`US 7,571,062 B2
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`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 28 of 104 PageID #: 993
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 28 of 104 Page|D #: 993
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 26 of 71
`
`US 7,571,062 B2
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`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 29 of 104 PageID #: 994
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 29 of 104 Page|D #: 994
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 27 of 71
`
`US 7,571,062 B2
`
`2605
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`
`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 30 of 104 PageID #: 995
`Case 6:12—cv—OO799—JRG Document 25-6 Filed 01/31/13 Page 30 of 104 Page|D #: 995
`
`U.S. Patent
`
`Aug. 4, 2009
`
`Sheet 28 of 71
`
`US 7,571,062 B2
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`Case 6:12-cv-00799-JRG Document 25-6 Filed 01/31/13 Page 31 of 104 PageID #: 996
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`U.S. Patent
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`Aug. 4, 2009
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`Sheet 48 of 71
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`US 7,571,062 B2
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`U.S. Patent
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`Aug. 4, 2009
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`Sheet 49 of 71
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