Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 1 of 104 PageID #: 137
`Case 6:12—cv—00799—JRG Document 1-2 Filed 10/22/12 Page 1 of 104 Page|D #: 137
`
`EXHIBIT B
`
`EXHIBIT B
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 2 of 104 PageID #: 138
`Case 6‘”"’”'°°799'JRG ”°"””‘e“‘ 1'2 |1|||11I||||1fl|11|1| ||fll1fll||111| ||1I1|l111ll11l|1l‘||I138
`
`US007l3676lB2
`
`(12) United States Patent
`Henry et al.
`
`(10) Patent No.:
`
`(45) Date of Patent:
`
`US 7,136,761 B2
`Nov. 14, 2006
`
`11/1982 Sanchez .................... .. 700/31
`'
`11/1983
`73/861.35
`
`12/1983 Zanker et al.
`......... .. 73/861.02
`12/1983 Smith .................. .. 73/861.356
`1/1985 Smith et al.
`. 73/861.355
`8/1987 Cheung et al.
`73/29.01
`3/1988 Mikasa et al.
`.. 73/23.31
`7/1988 Mehrgardt et al.
`386/34
`9/1988 Aslesen et al.
`.......... .. 73/61.44
`
`
`
`4,358,822 A
`RE31,450 E
`4,419,898 A
`4,422,338 A
`4,491,025 A
`4,688,418 A
`4,727,746 A
`4,757,390 A
`4,773,257 A
`
`(Continued)
`FOREIGN PATENT DOCUMENTS
`
`(54) DIGITAL FLOWMETER
`
`(75)
`
`Inventors: Manus P. Henry, Oxford (GB); David
`W. Clarke, Oxford (GB); James H.
`Vignos, Needharn Heights, MA (US)
`
`(73) Assignee:
`
`Invensys Systems, Inc., Foxboro, MA
`(US)
`
`( * ) Notice:
`
`Subject to any disclaimer, the term of this
`patent is extended or adjusted under 35
`U.S.C. l54(b) by 0 days.
`
`(21)
`
`Appl. No.: 11/130,233
`
`EP
`
`0 698 783 A1
`
`2/1996
`
`(22)
`
`Filed:
`
`May 17, 2005
`
`(65)
`
`Prior Publication Data
`
`US 2005/0209794 A1
`
`Sep. 22, 2005
`
`(63)
`
`(60)
`
`(51)
`
`(52)
`(58)
`
`(56)
`
`Related U.S. Application Data
`
`Continuation of application No. 10/637,620, filed on
`Aug. 11, 2003, now Pat. No. 6,917,887, which is a
`continuation of application No. 09/931,057, filed on
`Aug. 17, 2001, now Pat. No. 6,754,594, which is a
`continuation of application No. 09/111,739, filed on
`Jul. 8, 1998, now Pat. No. 6,311,136.
`
`Provisional application No. 60/066,554, filed on Nov.
`26, 1997.
`
`Int. Cl.
`G01R 1/00
`G01R 23/00
`
`(2006.01)
`(2006.01)
`(2006.01)
`G01R 1/84
`U.S. Cl.
`............. .. 702/45; 73/861.355; 73/861.356
`Field of Classification Search ................... .. None
`
`See application file for complete search history.
`References Cited
`
`U.S. PATENT DOCUMENTS
`
`3,956,682 A
`RE29,383 E
`4,187,721 A *
`
`5/1976 Van Dyck ..... ..
`
`9/1977 Gallatin et al.
`.
`2/1980 Smith .................. .. 73/861.356
`
`(Continued)
`OTHER PUBLICATIONS
`
`A.F. Skea, “Effects of Gas Leaks in Oil Flow on Single-Phase
`Flowmeters”, Flow Measurement and Instrumentation, vol. 10, pp.
`146-150 (1999).
`
`(Continued)
`
`Primary Examiner—Marc S. Hoif
`Assistant Examiner—Manuel L Barbee
`
`(74) Attorney, Agent, or Firm—Fish & Richardson P.C.
`
`(57)
`
`ABSTRACT
`
`A controller for a flowmeter includes an input module
`operable to receive a sensor signal from a sensor connected
`to a vibratable flowtube. The sensor signal is related to a
`fluid flow through the flowtube. The controller also includes
`a signal processing system operable to receive the sensor
`signal, determine sensor signal characteristics, and output
`drive signal characteristics for a drive signal applied to the
`flowtube. 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 of
`the flowtube during a transition of the flowtube from a
`substantially empty state to a substantially full state.
`
`12 Claims, 71 Drawing Sheets
`
`Massflow
`Measurement
`
`100
`
`
`
`Digital
`Controller
`
`
`
`110
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 3 of 104 PageID #: 139
`Case 6:12-CV-00799-JRG Document 1-2 Filed 10/22/12
`Page 3 of 104 Page|D #: 139
`
`US 7,136,761 B2
`Page 2
`
`U.S. PATENT DOCUMENTS
`
`............ .. 73/61.44
`5/2003 Dutton et al.
`6,564,619 B1
`.. 73/61.44
`3/2002 Dutton et al.
`2002/0033043 A1
`
`................ .. 702/45
`3/2002 Henry et al.
`2002/0038186 A1
`9/2002 Maginnis .................. .. 702/100
`2002/0133307 A1
`FOREIGN PATENT DOCUMENTS
`0696726 A
`2/1996
`0 702 212 A2
`3/1996
`0827096
`3/1998
`W0 93/21505
`10/1993
`W0 00/10059
`2/2000
`W0 02/08703
`1/2002
`
`EP
`EP
`EP
`W0
`W0
`W0
`
`................... .. 73/861.356
`11/1988 Pratt
`1/1989 Flecken
`.. 331/65
`4/1989 Hargarten et al.
`.. 73/861.356
`4/1989 Dahlin ........ ..
`.. 73/861.357
`8/1989 Kolpak
`73/61.44
`8/1989 Corwon et al.
`.. 73/861.355
`11/1989 Zolock ........ ..
`.. 73/861.356
`1/1990 Mattar et al.
`..
`.. 73/861.357
`1/1990 Bergamini et al.
`73/861.355
`3/1990 Hargarten et al.
`.......... .. 73/198
`3/1990 Thompson
`.. 73/861.356
`OTHER PUBLICATIONS
`6/1990 Hussain .... ..
`. 73/861.355
`73/861.356
`6/1990 Romano
` David Spitzer; “Mass Flowmeters”; Industries Flow Measurement,
`73/32 A
`3/1991 Romano
`Chapter 12; pp. 197-210; 1990.
`7/1991 Titlow et al
`.. 73/861.356
`E. Luntta et al., “Neural Network Approach to Ultrasonic Flow
`..... ..
`73/861.04
`7/1991 Liu et al
`Measurements”, Flow Measurement and Instrumentation, vol. 10,
`9/1991 Thompson ..
`.. 73/861.356
`pp. 35-43, 1999.
`.... ..
`10/1991 Christ et al.
`.. 73/861.356
`J. Hemp et al.; “0n the Theory and Performance of Coriolis Mass
`10/1991 Fitzgerald et al.
`.... .. 73/54.27
`Flowmeters”; Proceedings ofthe International Conference on Mass
`10/1991 Mattar ......... ..
`.. 73/861.355
`Flow Measurement Direct and Indirect; IBC Technical Services; 40
`6/1993 Pummer
`73/629
`pages, Feb. 1989.
`7/1993 Bruck
`73/1.34
`J. Reimann, “Developments in Tow-Phase Mass Flow Rate Instru-
`11/1993 Kolpak ..... ..
`. 73/861.355
`mentation”, pp. 339-402.
`....... ..
`12/1993 Mattar et al.
`73/861.355
`J.T. Grumski et al., “Performance of a Coriolis-type Mass Flow
`3/1994 Arunachalam et al.
`..... .. 702/50
`Meter in the Measurement of Two-phase (air-liquid) Mixtures”,
`4/1994 Cage et al.
`.. 73/861.355
`ASME Fluid Engineering Division Publication FED, vol. 17, pp.
`6/1994 Kalotay ....... ..
`.. 73/861.357
`75-84, 1984.
`9/1994 Matter et al.
`..
`.. 73/861.355
`Joseph DeCarlo; “True Mass-Flow Measurement”; Fundamentals
`9/1994 Kalotay et al.
`..... ..
`73/861.357
`ofFlow Measurement, Unit 11-2; pp. 208-220; 1984.
`3/1995 Kawaguchi et al.
`73/861.355
`VI. Henry et al., “The Implications of Digital Communications on
`7/1995 Colman .......... ..
`.. 73/861.356
`Sensor Validation”, Report No. QUEL 1912/92, University of
`11/1995 Kalotay .... ..
`.. 73/861.356
`Oxford, Department of Engineering Science, Apr. 1992.
`3/1996 Cage et al.
`.. 73/861.356
`VI.P. Henry et al., “A New Approach to Sensor Validation”, Improv-
`3/1996 Patten et al.
`.. 73/861.355
`ing Analyser Performacne, IMC, Mar. 17, 1992.
`7/1996 Kolpak ..... ..
`. 73/861.04
`VI.P. Henry et al., “A Self-Validating Digital Coriolis Mass-flow
`9/1996 Derby et al.
`.... .. 702/45
`Vleter” (1); overview, 1999.
`10/1996 Henry et al.
`....... .. 702/45
`VI.P. Henry et al., “A standard Interface for Self-Validating Sen-
`11/1996 Yokoi et al.
`......... .. 73/861.356
`sors”, Report No. QUEL 1884/91, University of Oxford, Depart-
`1/1997 Carpenter et al.
`.. 73/861.356
`ment of Engineering Science, Sep. 1991.
`7/1997 Keel
`........... ..
`.. 73/861.356
`VI.P. Henry et al., “Signal processing, Data Handling and Commu-
`8/1997 Dutton ..... ..
`. 73/152.18
`nications: The Case for Measurement Validation”, Mar. 1992.
`11/1997 Buttler et al
`702/137
`VI.P. Henry et al., “The Self-Validating Sensor: Rationale Defini-
`3/1998
`706/45
`tions and Examples”, Control Engineering Practice,
`1
`(4), pp.
`3/1998
`. 73/861.56
`585-610, 1993.
`6/1998
`702/104
`VI.P. Henry, “Intelligent Behaviour For Self-Validating Sensors”,
`9/1998
`73/861.356
`Advances in Measurement, pp. 1-7 date unknown.
`3/1999 Kimasauskas et al.
`...... .. 700/29
`VI.P. Henry, “Self-Validation Improves Coriolis Meter”, Control
`7/1999 Mattar et al.
`............. .. 340/606
`Engineering, 42 (6), pp. 81-86 (1995).
`10/1999 Rivkin ................ .. 73/861.356
`VI.P. Henry, “Sensor Validation and Fieldbus”, IEE Computing and
`6/2000 Stadler ................ .. 73/861.356
`Control Engineering Journal, 6 (6), pp. 263-269.
`7/2000 Cunningham et al.
`. 73/861.356
`R.P. Liu et al., “A Neural Network to Correct Mass Flow Errors
`2/2001 Pado et al.
`............... .. 700/104
`Caused by Two Phase Flow in a Digital Coriolis Mass Flow Meter”.
`10/2001 Smith .................. .. 73/861.357
`Engineering Science Department, Oxford University.
`10/2001 Blazey et al.
`..
`.... .. 600/26
`
`Kutin, Joie, et al., “Phase-Locking Control of the Coriolis Meter’s
`10/2001 Henry et al.
`................ .. 702/45
`Resonance Frequency Based on Virtual Instrumentation,” Sensors
`11/2001 Dutton et al.
`............ .. 73/61.44
`and Actuators A 104 (2003), pp. 86-93.
`11/2001 Smith et al.
`.. 73/861.356
`
`Merriam-Webster’s Collegiate Dictionary, Tenth Edition, 1998, p.
`12/2001 Dutton ................ .. 73/861.356
`747.
`4/2002 Sharp ....................... .. 73/1.16
`Wood, et al., “A Phase-Locked Loop for Driving Vibrating Tube
`. . . . . . .
`1/2003 Henrot
`. . . .. 702/54
`
`Densimeters,” Rev. Sci. Instrum., vol. 60, No. 3, Mar. 1989, pp.
`......... .. 73/861.356
`1/2003 Henry et al.
`493-494.
`1/2003 Henry et al.
`................ .. 702/45
`4/2003 Zuckerwar et al.
`....... .. 600/528
`
`* cited by examiner
`
`
`
`
`
`
`
`
`
`4,782,711
`4,801,897
`4,817,448
`4,823,614
`4,852,395
`4,852,410
`4,879,911
`4,891,991
`4,895,030
`4,911,006
`4,911,020
`4,934,195
`4,934,196
`4,996,871
`5,027,662
`5,029,482
`5,050,439
`5,052,231
`5,054,313
`5,054,326
`5,218,869
`5,228,327
`5,259,250
`5,271,281
`5,295,084
`5,301,557
`5,321,991
`5,343,764
`5,347,874
`5,400,653
`5,429,002
`5,469,748
`5,497,665
`5,497,666
`5,535,632
`5,555,190
`5,570,300
`5,578,764
`5,594,180
`5,648,616
`5,654,502
`5,687,100
`5,732,193
`5,734,112
`5,774,378
`5,804,741
`5,877,954
`5,926,096
`5,969,264
`6,073,495
`6,092,429
`6,185,470
`6,301,973
`6,309,342
`6,311,136
`6,318,156
`6,318,186
`6,327,914
`6,378,354
`6,505,131
`6,505,519
`6,507,791
`6,551,251
`
`A
`A
`A
`A
`A
`A *
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`A
`B1
`B1
`B1
`B1
`B1
`B1
`B1
`B1
`B1
`B1
`B1
`B1
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 4 of 104 PageID #: 140
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 4 of 104 PagelD #: 140
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 1 of 71
`
`US 7,136,761 B2
`
`Massfiow
`
`Measurement
`
`100
`
`105
`
`Digital
`Controller
`
`Flow Tube
`
`120
`
`F|G.1
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 5 of 104 PageID #: 141
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 5 of 104 Page|D #: 141
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 2 of 71
`
`US 7,136,761 B2
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 6 of 104 PageID #: 142
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 6 of 104 Page|D #: 142
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 3 of 71
`
`US 7,136,761 B2
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 7 of 104 PageID #: 143
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 7 Of 104 Page|D #: 143
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 4 of 71
`
`US 7,136,761 B2
`
`COMMON MODE 1 11 1
`
`CL
`
`111 1
`
`L00.
`
`(3
`
`ans”
`ac:
`D§<
`
`"‘““‘““‘f*“‘"""“‘”‘
`
`©°—
`LO
`
`‘I’
`
`F1(]
`
`1
`
`M
`L3
`__
`L.|_
`
`0.
`
`C0 «»a7-¢~$veg
`§%2m.s.m.11~1§.m.
`-
`eg
`6
`5
`E2
`O<
`Q
`rnL.|_
`
`P
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 8 of 104 PageID #: 144
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 8 of 104 Page|D #: 144
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 5 of 71
`
`US 7,136,761 B2
`
`Bmmoooi
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 9 of 104 PageID #: 145
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 9 of 104 Page|D #: 145
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 6 of 71
`
`US 7,136,761 B2
`
`500
`
`\
`
`L0
`
`Lo
`
`LO
`
`3
`
`L0
`
`120 Measurements
`
`
`
`DigitalController
`
`FIG.5
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 10 of 104 PageID #: 146
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 10 of 104 Page|D #: 146
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 7 of 71
`
`US 7,136,761 B2
`
`600
`
`/V
`
` 610
`
`
`605
`
`615
`
`620
`
`625
`
`630
`
`Determine
`Frequency
`
`Offset
`
`Determine
`
`Amplitude
`
`Determine
`
`Phase
`
`Determine/Eliminate
`
`
`
`
`
`
`Generate Drive
`Signal
`
`635
`
`
`
`Generate
`
`Measurements
`
`
`
`FIG. 6
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 11 of 104 PageID #: 147
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 11 of 104 Page|D #: 147
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 8 of 71
`
`US 7,136,761 B2
`
`start_samp|e_S1
`
`S1-ih
`
`Voltage
`
`
`+1 I-
`
`
`
`start_offset_S1
`
`
`
`
`
`start_offset_S2
`r4
`
`sta rt_sa m p|e_S2
`
`Vouage
`
`F|G.7B
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 12 of 104 PageID #: 148
`Case 6:12—cv—00799—JRG Document 1-2 Filed 10/22/12 Page 12 of 104 Page|D #: 148
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 9 of 71
`
`US 7,136,761 B2
`
`0.12
`
`0.1
`
`Sensor Voltage
`(W)
`
`0.0.
`
`0.08 Square of
`
`0.04
`
`0.02
`
`00
`
`0.005
`
`0.01
`
`0.015
`
`0.02
`
`0.025
`
`0.03
`
`Time(s1
`
`FIG. 8A
`
`3 X 10-‘
`
`2.5
`
`2
`
`._5
`
`1
`
`0.5
`
`0
`
`Square of
`Sensor Voltage
`(V'V)
`
`_°<'2§o:21
`
`0.0121
`
`0.0122
`
`0.0122
`
`0.0123
`
`0.0123
`
`Time(s)
`
`F|G.8B
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 13 of 104 PageID #: 149
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 13 of 104 Page|D #: 149
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 10 of 71
`
`US 7,136,761 B2
`
`905
`
`initialize Variables
`
`910
`
`_
`_
`Estimate end_point
`
`915
`
`Determine # of Points
`for Curve Fitting
`
`900
`
`/l/
`
`iteration_count = O
`
`
`
`
`Smooth zik-1]. z[k], z[k+1]
`
`940
`
`945
`
`950
`
`955
`
`iteration_count<3
`
`975
`
`Calculate Frequency
`
`92
`
`O
`
`92
`
`5
`
`980
`
`935
`
`iteration_count = iteration_count + 1
`
`Select step length
`
`ep_int = int end_point + 05)
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 14 of 104 PageID #: 150
`Case 6:12—cv—00799—JRG Document 1-2 Filed 10/22/12 Page 14 of 104 Page|D #: 150
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 11 of 71
`
`US 7,136,761 B2
`
`1005
`
`1000
`
`/M
`
`1010
`
`
`Determine
`12m1.11m2
`
`
`1015
`
`Determine Start and
`
`End of d1m2. d2m1
`
`1020
`
`
`
`
`
`
`Determine Phase,
`Amplitude for di and
`d2m1. and Phase
`Difference
`
`
`
`
`1025
`
`1030
`
`Repeat for
`
`d2: d1lT|2
`
`Generate Averages
`of Amplitude &
`Phase Differences
`
`F|G.10
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 15 of 104 PageID #: 15115
`1
`R1..
`C
`
`0emut
`
`
`
`
`
`va2PmPEE.m-xo_v_m><>>mm<:cm._.30_.:._>>mmatsod>.E_2wE;..mMO“..5.E<»w
`
`m.6Se0xU
`
`
`
`
`
`
`
`
`
`%tm_._<zw_m7nm>_mo
`
`U4.,
`
`m1.mDWmmmm3.mooN0<2..U_u_G.III.
`
`._HS..22-m:0:MM;.
`
`W»NOm>_mo
`
`~._<zo_m
`
`12#.BD1
`
`fS
`
`W-/m$52.»a6,mmmN3Pmo
`owe-D.P35DE1..W.7,TT-S
`
`0Uo§Kmo<5o>5tomomzmm
`
`.0mt..H_H...M.MNo
`
`
`
`.._.....___................:_..O:Z0.1..:.2oT.T..T.oErmo<5o>WnTTTTT..........3momzma
`
`
`
`
`moommmm3wT.PT..$-02DEH—1/......
`eweWam?
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 16 of 104 PageID #: 152251
`S
`c
`e
`61e9aP
`7__1
`GR1..9
`C
`
`
`
` 2P1.6SeOaU
`
`EtOn0e_tVa
`
`t6n0e0m2:U4C1O.DWN
`
`1M72fl.mM1Hdemm._HS
`
`97.,a6P3419W.7fS0U
`
`..2#Bmm
`
`
`
`
`
`
`
`
`
`1.1._,§§_ 1 1_ :1.E<»w-v_o_xm><>>mm<3cmI._._>>mm:tso.E>Esm.52,..NKO“.n:.:.m<._.w
`
`
`
`
`
`
`
`...@m_>_:83N3_no
`
`.........‘.._..‘..-07
`11111,111:O
`
`N4<zo_m
`
`
`
`
`
`3Nmy5M2:m...o_O8-mN—.D_u_
`
`wemomzmm
`
`m.mme_.no
`
`.o
`
`.-mo3_mo<So>
`
`
`
`I,W.$I
`
`.,...INo!
`
`8.0.us.0:
`
`to
`
`-Nomomzmm
`.9VNmo<.So>
`
`
`
`2oéos.0:
`
`.O?!
`
`om
`
`Owm>_KD
`
`o_4<zw_m
`
`0a.<S.0:
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 17 of 104 PageID #: 153351.
`1.
`1.
`C
`
`6SeOxU
`
`omfl.Efimv_o_x-m_><>>m_m<:cwI.:>>mm.Eso.¢>Es_m:momn5E<5
`
`
`
`
`
`9..._...,.Z_._.,.44.....CF:mt.M.MHon>>>2o\,>o<<§<<§<§§....<.....<<.<....................>ooNO:25mum.H._....m>_mn_cP..
`
`
`
`n0
`
`2fl.
`
`
`
` eNOm,No<zo_mmM-orm>_moDWonG.ooooooo«onoNotoo-.R....Won<20.“.
`
`t6IO..-
`
`
`
`7..ou-mi.U_u_
`
`040.om.Hmo.>:mo<5o>
`dwH.momzmme.H«Mvo
`
`.vo-.21.um0:M7.mo-
`
`fSo0UENmo<5o>7..........2momzmw1.HeE.w..mm__>E
`.M..PoonooonovdooNowoo..
`
`O7
`
`..2#BD1
`
`
`.0:moumoosoo.ono.w.m__o>__.FnoNoSmm3.am.
`
`4199N.©I
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 18 of 104 PageID #: 154
`Case 6:12—cv—00799—JRG Document 1-2 Filed 10/22/12 Page 18 of 104 PagelD #: 154
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 15 of 71
`
`US 7,136,761 B2
`
`1405
`
`1410
`
`1415
`
`1420
`
`1425
`
`1430
`
`1435
`
`1440
`
`1445
`
`Estimate Nominal
`Operating Frequency
`
`Synthesize
`Nominal Signals
`
`Multiply by Original
`Sensor Signals
`
`Eliminate
`
`High 1 Components
`
`Combine Signals
`to Produce u[k]
`
`Calculate Frequency
`Deviation
`
`Add to
`Nominal Frequency
`
`Determine
`
`Amplitude
`
`Determine
`
`Phase Difference
`
`1400
`
`/M
`
`F|G.l4
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 19 of 104 PageID #: 155
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 19 of 104 PagelD #: 155
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 16 of 71
`
`US 7,136,761 B2
`
`Mass Flo
`Measurem
`
`1500
`
`
`
`Digital Controller
`
`Muliiplying
`D/A
`
`
`
`Sensor
`
`FIG. 153
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 20 of 104 PageID #: 156
`mew
`2
`6E
`1..
`C
`
`mMm2,U4
`
`0U
`
`..2#BmMWV7
`
`a6,.E83wM2U_u__2a_w$5>_%_2>_mM$9
`
`1LI.dw
`
`P586un8_§8_8Emm89
`
`W.mayBS26:
`
`
`
`Sm:Bm_8_mo
`
`u6$989
`
`flO6SeOxU
`
`mt990m\.\\89MM8989S8smcmwMPmzmoom
`
`
`
`
`
`
`
`
`
`m1.Emmoceota889$98>oco:c9u_DWoU::_qE<osczeoo_mc9mEcoSeocoo.oU3__QE<mfimcoom22as
`
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 21 of 104 PageID #: 157
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 21 of 104 Page|D #: 157
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 18 of 71
`
`US 7,136,761 B2
`
`
`
`F|G.18
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 22 of 104 PageID #: 158
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 22 of 104 Page|D #: 158
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 19 of 71
`
`US 7,136,761 B2
`
`X 10-6
`
`SV1: -ve Gain
`
`
`
`20
`
`30
`
`40
`
`50
`
`60
`
`AD1879 Temperature(C)
`
`F|G.19A
`
`X 10-6
`
`SV2: -ve Gain
`
`3.05
`
`3.045
`
`3.04
`
`AD1879
`Gain 3035
`
`3.025
`
`3.02
`20
`
`30
`
`40
`
`50
`
`60
`
`AD1879 Temperature(C)
`
`FIG. 19B
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 23 of 104 PageID #: 159
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 23 of 104 Page|D #: 159
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 20 of 71
`
`US 7,136,761 B2
`
`“0-6
`
`SV1: +ve Gain
`
`3.045
`
`3.04
`
`AD1879
`Gain 3035
`
`3.03
`
`3.025
`20
`
`30
`
`40
`
`50
`
`60
`
`AD1879 Temperature(C)
`
`X 10-4
`
`SV1: Zero Offset
`
`
`
`-7.4
`
`-7.5
`
`-7.6
`
`'77
`
`-7.8
`
`-7.9
`
`AD1879
`Zero
`
`Offset
`
`-8
`20
`
`30
`
`40
`
`50
`
`60
`
`AD1879 Temperature(C)
`
`F|G.19D
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 24 of 104 PageID #: 160
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 24 of 104 Page|D #: 160
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 21 of 71
`
`US 7,136,761 B2
`
`std=000150263
`mean=-0.0109679.
`
`0006
`
`.
`
`I
`
`0008
`
`.
`
`I
`
`001
`I
`
`0.012
`
`I
`
`0014
`
`.
`
`I
`
`-0016
`
`sfiugssmo 0192 9/\— uo paseq eseud
`
`F:
`co
`
`3
`1-
`o
`0.
`ff
`-—
`
`3
`co
`l\
`(\|
`to
`
`fi
`C
`N
`0
`E
`
`—
`
`3
`2;
`g
`g
`N
`o
`o
`Q
`c:
`IS
`o
`o
`C:
`o
`o
`sfiugssom 0132 911+ uo peseq eseud
`
`O
`
`8
`L0
`
`o
`$
`V
`
`0’)
`
`(\j
`‘:9.
`m
`
`:5
`$
`o
`< o’
`''
`
`‘3
`-4-
`8 ' m
`(\f
`(\|
`D c:
`
`|
`C
`:6
`G)
`E
`
`O
`
`
`
`o
`0
`'-n
`
`o
`3
`
`=.(
`
`)
`
`o
`o
`(‘d
`
`‘ ('\l
`
`'
`
`8 ___
`
`C
`
`S5
`5'.’
`:5
`:9 3 8 ° *3
`0'
`°.
`0'
`0.
`c5
`‘:3
`D.
`I
`cl:
`I
`o
`o
`C‘)
`segofio paneapaxug uo peseq aseud
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 25 of 104 PageID #: 161
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 25 of 104 Page|D #: 161
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 22 of 71
`
`US 7,136,761 B2
`
`18
`
`ID
`1—
`
`v
`?
`
`O1
`v-
`
`3 »~
`" E
`::
`O
`5
`on
`.§
`G! I-
`
`CO
`
`(D
`
`C\‘
`0
`(3
`—
`V” LL.
`
`CV’
`
`"1
`T’
`°"
`V
`D O.
`° °
`
`'6
`o‘
`
`O
`
`;
`«'5' 8 3 8 °
`0.
`o.
`0. 0
`° ° ° °
`
`18
`
`(D
`'1
`
`v
`7‘
`
`C\I
`-
`
`$ /~
`"'
`-'1'.’
`21
`O
`'5
`an
`.5.
`CD l--
`
`<(
`'P-
`
`C
`U
`i.
`
`T L
`
`(D
`
`‘Y
`
`OI
`
`O
`
`°"-
`‘F
`
`.‘=:=-T’
`
`‘F’
`
`‘°-
`"'
`“‘-'
`‘F
`‘E’
`‘F‘
`(saaufiap) Jasuo aseud
`
`C
`.9..
`UC
`t
`8
`E(U
`C)
`'U
`G
`*5
`to
`3:
`0
`‘5
`E
`.:'
`3
`._
`9::
`'0
`N
`In
`ID
`0
`(U
`«=
`u‘
`
`C‘
`
`('5I
`Q.-
`
`><
`
`°"-
`T
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 26 of 104 PageID #: 162
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 26 of 104 PagelD #: 162
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 23 of 71
`
`US 7,136,761 B2
`
`2205
`
`2200
`
`Every Cycle: Calculate I193. INS.
`i‘iFC» Imc: [2PSI
`IZNS: 3Um1s.
`Ratiois. SUm1C: sumgs
`
`
`
`
`Every 10,000 Cycles:
`Check Slope of A.
`
`
`
`_
`
`Generate Average
`Values
`
`2220
`
`
`
`Estimate Zero Offset
`
`8 Gain Mismatch
`
`
`
`
`
`
`Calculate K.
`amp_factor
`
`Estimate Amplitudes
`
`
`
`Adjust Raw Data
`
`Improve Estimate
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 27 of 104 PageID #: 163
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 27 of 104 Page|D #: 163
`
`U.S. Patent
`
`9
`Nov. 14 2006
`
`Sheet 24 of 71
`
`9
`9
`US 7 136 761 B2
`
`OCO
`
`‘—
`
`8
`co
`
`or:
`8 M
`<0 C'\l
`
`C
`O
`9 Q
`LL.
`
`0
`C
`C\l
`
`m
`
`G 9
`
`3
`‘°
`5
`0.
`O
`ll
`1;
`‘(S
`<15
`m
`P
`8
`8
`0
`II
`C
`cu
`an
`
`
`
`__
`
`1
`_
`E
`<13
`<'r
`cu o clu
`tr
`«.0
`op
`2 S5U!SSOJO 0192 9/\— U0 DQSEQ 9SBl.|d
`
`O
`
`g
`oo
`E
`5
`0.
`o
`"
`Q
`U’
`_.
`CE
`ES
`g
`
`_
`
`_-. _
`"
`
`— —
`
`‘
`
`-—
`
`_ _4:‘-
`
`‘
`~-——;
`_
`
`._
`
`__
`
`._
`
`--
`
`-
`
`8
`.9
`
`8
`°°
`
`co
`3
`‘.3
`'-
`8
`cs
`ll
`g < 3.3
`U)
`=9 or) m.
`(3 N %
`S:
`. 5
`o
`
`
`
`O E I
`J -~-
`Cl>
`8
`"
`_ "
`_
`u
`g
`=—:.= V __,;.
`*
`C
`cu
`- -"”*'
`_
`"5
`.
`_ -_ O "P E
`—
`—
`‘ L.’
`‘D
`cf»
`<lr
`ct:
`0
`cs:
`<r
`co
`0 co
`<r
`N
`cu
`o
`ES ~:r
`1
`“
`I
`I
`__
`sfiugsson 0132 am. uo paseq astzqd
`sepflo pa/xeauexug uo peseq eseud
`
`8
`N
`
`o
`
`O
`8
`:-
`
`O
`o
`°°
`
`L)
`8 0’)
`(D
`(V
`'
`©
`E? Q
`_
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 28 of 104 PageID #: 164
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 28 of 104 Page|D #: 164
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 25 of 71
`
`US 7,136,761 B2
`
`$
`N
`
`E:
`
`(D
`
`ID
`
`1!‘
`
`au
`g
`0
`m 5
`as
`.§
`#-
`
`N
`
`to
`
`g:
`N
`'
`
`.0 Q
`
`LI.
`
`V
`
`IN
`E
`0
`I’) 5
`ch
`.§
`1-
`
`N
`
`.5
`Et
`8
`
`E
`5:‘
`<1’
`Q
`‘3
`§
`3
`:E
`
`a 9C
`
`D 3
`
`‘s
`E
`
`""9
`><
`
`o
`
`o
`
`0.01
`
`0008
`
`0.006
`
`0004
`
`0.002
`
`(saa16ap) uouegnep pnepuexs
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 29 of 104 PageID #: 165
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 29 of 104 Page|D #: 165
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 26 of 71
`
`US 7,136,761 B2
`
`Cycle n
`<————————*>
`
`‘
`
`Cycle n-1
`
`_ ‘
`
`Cycle n+1
`
`_
`
`
`
`-1:/0)
`
`0
`
`1r/co
`
`27:/0)
`
`31:/co
`
`I
`
`Time(s)
`
`F|G.25
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 30 of 104 PageID #: 166
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 30 of 104 Page|D #: 166
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 27 of 71
`
`US 7,136,761 B2
`
`2605
`
`
`
`2610
`
`2500
`
`/l/
`
`Produce Frequency
`
`Esthnate
`
`
`
`Estimate Amplitude 6
`& Phase
`
`Calculate Phase
`
`Difference
`
`Determine Amplitude
`Rate of Change
`
`
`
`
`
`2615
`
`2620
`
`
`
`
`2625
`
`
`
`
`2630
`
`Correct
`
`Frequency
`
`Compensate
`
`Phase
`
`
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 31 of 104 PageID #: 167
`e
`W
`C
`
`7__P10
`
`
`
`No-£o5m.NaS-3m$w.~5
`
`.mowe1..wmomm_.Wa_.
`
`
`
`
`
`vmom_o:»_._n___o_,M
`
`omS2Oé1..68.8arem.mNdwM,
`
`(RN.U_n_mewwMNo-$o@mEaS+%o:;.m5HS
`VAm,m._._om,__»
`
`
`NwoEmw.
`
`%U
`
`N
`
`49O7
`
`
`
` “W.mflya0Kg7,EmD_653.:a6onomE.PBowcm9.
`
`.
`
`M.S
`
`0U
`
`1
`new
`
`211.7
`
`2.m
`n;Em
`
`n_w_w53;w>ozm5om_EP
`
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 32 of 104 PageID #: 168861
`S
`e
`23egaP
`7__1
`1
`GR1..9
`C
`
`fS0U
`
`wmP3419O7
`
`..2#Bmm
`
`
`
` _owtOH0e_tWa7__P1.6SeOaU
`
`cM0.DWN
`t6n0e0W2,
`
`1m72plmM1mdemm._HS
`
`mwmDE$5:8888.om..8
`
`
`
`8-2oSo.ma3-885.?
`
`<wNDE$52:8om3omcm2__No-
`
`No-oooom$nmmwmmmSons
`
`3-
`
`mo
`
`.22m3._<:o_mm_m
`
`oE:
`>ozm:ommu
`
`§m
`
`No
`
`are
`
`top
`
`mvo-
`
`50.E..m<>.n_s_<mom
`
`
`moozofiommmooE.m<m_s_
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 33 of 104 PageID #: 169
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 33 of 104 Page|D #: 169
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 30 of 71
`
`US 7,136,761 B2
`
`
`.moémmvmm.rmS+mmo:;.m5<®NOE8E2:8cm
`ow8cm2
`
`EH5:88
`8onomo_‘
`
`mo-$oom$a5,583.3.
`
`m.E
`
`H.V.5E:_>ozm:omm1
`mew>><m§m
`
`3%5
`
`8.5_3:
`3w.m<>n:>_<mom
`
`omeommmoo
`
`

`
`7__P1OaSeOxU
`
`mt
`
`om5.5Mt caNo-mm55E.mHw
`5+8o:;.55
`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 34 of 104 PageID #: 170
`071
`C
`
`wv.
`
`
`M_35AN..:we>ozm:om_E>><m
`1..5.5m_o<mm><
`
` on”No83.2E558::5.:F.<OmU_u_5E2:H883onomSmM__mm.
`
`25”.BD1m5,
`mom.0:Pmavmsi
`
`
`21>ozm5cmE.><M7_m_..52.mmM95Mm-_...3.5M.
`
`ompommmoo 4,88owom8Sm.M....5.5MU55.5M8.5w.35E:.m<>.n=>_<P5.5mon_
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 35 of 104 PageID #: 171
`e
`2
`1
`#
`C
`
`mU
`
`mM
`
`flm
`
`WM,Em.U_.._$m__>Ewflmm8:38mm%om%:mN.
`
`om!29mm.M8.3
`
`33.3
`
`
`
`gE:mEm.N_<>.n__>_<mo”.un>ozm5om_E.><2.m.3.3.
`
`H0
`
`mn
`
`
`mm.mm8-oo8:$.m_b+$88ms
`<3OEamz:HBon33mmonRomESm.t6_to,mm
`m.m...«Em
`
`1O6.SeOxU
`
`
`
`.mt3.mmmm3.8WMmP~o-m§B.~a.o+m.....8$.ms
`
`GN_>><mmo<mm><R#31..
`mm8.3U4.,.c18mmmW._EmE:>ozm:omE
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 36 of 104 PageID #: 172
`2
`#
`C
`
`5m
`
`41O7:
`
`5.mmamDEam_s_:m.m88owomcm2
`
`My
`
`mH
`
`2.m5
`
`0U
`
`H.S55.5
`
`6_;__m.5.53;w>ozm:om_EP8.5omfiommmoo
`
`eOxU
`
`Wa
`
`
`
`mP.8-o5moo.§55052.55
`
`Fs<mmDIGEE:H88ow
`da....M.m.8-55.5N5558525.:
`
`GNm_o<mm><>><mm.8.5%t__.Nwmn.muLwmoNw
`.5MWmm2,55mM55.5DW.5.5ANIV>ozm5omE
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 37 of 104 PageID #: 173
`O
`371
`C
`
`..2#BD1w.m
`
`a/09U3DE
`
`eOxU
`
`e0m2
`
`
`
`
`G.m5.0-Mtoammmomemm<In_
`moamfimm.E.Eo1.652:DW8omS88S<.mm.U_n_
`3-$~Rm.msmum.va5ocP_H.Nod&Smo-m:.::.3
`
`w4,mo.mm%£.NHm
`On>><m.>m
`
`P3
`
`41:Ed.
`
`07
`
`H.Smood-
`
`m.M%..u-MMT
`FS"......,
`n0m
`
`
`2_.oammmome1...m<>.n:>_<mo“.
`
`t6Tzofiommmoo
`
`/:2.m89.mms.8Sx42.mam.0:
`
`HHno-o.8$JxmV¢o-m§.B.m51Boo
`
`mm..5.0
`
`OU0N.ammmomemm<:¢
`ma.8.3omtommmoo
`
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 38 of 104 PageID #: 174
`00
`M1
`C
`
`e0xU
`
`.|S
`
`
`
`1..889.om8S%Wm.WH,Ommwe
`Rmozmmmiow.3.mm<:n_22¢mm90mm%Wa%FMP5-8o$o.~a8-8m8.o,.§
`
`M@m_>_:<¢.m._U_n_
`GMtoammmome
`
`M.m
`
`mxno1tm.MS-m%t©:m
`S-$m$m.§
`
`mm.N.o
`
`MW.ammmomewVo.m<>
`
`
`.n=>_<PmomomfiommmoounadEa.mm<:n_
`
`W.7
`
`2#.BmM
`
`e0g7,6E2:mzum_U_n_mM888onomS4la.o
`
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 39 of 104 PageID #: 175
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 39 of 104 Page|D #: 175
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 36 of 71
`
`US 7,136,761 B2
`
`co
`In
`(‘'3
`
`Q
`u.
`
`"
`
`3
`
`_ '
`
`3
`pg
`
`0
`,_,—_
`
`13
`3
`E
`3:
`
`50
`
`___l__
`
`40
`
`GO
`?
`cu
`cu
`Q
`O’)
`:-
`"2
`@
`mm
`9;. E3
`‘an
`n)
`V
`5;
`O
`o
`U’!
`Of?
`3
`
`
`
`8
`
`—
`
`IO
`
`‘T
`
`.
`
`%
`O
`'12/u,
`
`'dwV Jo; pamsuos aseqd
`
`<
`Ln
`CV)
`
`82
`u.
`8
`
`S0
`
`40
`
`N
`
`O
`I
`01
`I-fl
`V
`'<r
`P’!
`,."'-
`3?
`0 mg
`cu Eo
`-'-'--|
`(D
`:0
`<'
`r\
`‘J’
`"3
`1'.
`:1
`
`8 [
`
`|
`to
`C’)
`ILD
`CO
`y—
`V
`<r'
`as
`on
`7
`on
`(D
`v
`O
`as
`P.
`N
`.‘.
`3
`
`—
`
`
`
`n_
`
`_
`
`o m
`
`10
`
`'0
`
`5.948
`
`338.
`coo
`‘J9
`GU-IV J04 U0!10aJJ0O
`
`_
`
`0.005,j
`
`001
`
`D1!)
`35
`?|
`asgqd 'gnp!g§H ms
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 40 of 104 PageID #: 176
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 40 of 104 Page|D #: 176
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 37 of 71
`
`US 7,136,761 B2
`
`LLI
`Ln
`
`0
`
`’
`‘
`-
`LL-
`
`A
`In
`V
`Q)
`.-
`.5
`
`0
`co Q
`
`.
`U
`_
`Ll.
`
`OLO
`
`OV
`
`75
`V
`(D
`..
`8.:
`
`9("V
`
`G-
`
`C’)
`‘.3
`OJ
`9.’
`8
`".
`‘-'_\!
`to
`
`cf»
`G)
`O)
`CD
`03
`-
`"2
`Y
`3
`
`{\|
`‘?
`Q)
`8
`E
`=\!
`C_\!
`m
`I
`5
`Q)
`0]
`Q
`C)
`N
`"7.
`Y.
`3
`
`co
`V N I v
`no
`00
`"3
`V.
`V.
`d
`‘C
`‘7.
`o
`0
`o
`o
`o
`(samfiep) eouesaugo aseqd papauoaun
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 41 of 104 PageID #: 177771
`S
`R
`9
`H
`P
`C
`
`
`
` 6SeOaU
`
`2P_[L._FF!_1.$8:95ao:.__382:..26:oz
`
`WC__VWt..n..5.0caM.
`
`
`
`
`mm:
`._H.._
`
`e0W2,
`
`cMo.8%DWGN
`
`1..8%
`
`t688n0~85
`
`mm._HS
`
`0m1LI.
`
`1M7f
`
`.0e~85-
`
`W0Sod-
`
`..2#BD1M.6Q7:a6.P3<3DE32.;1.M7:8SS8on21._|‘I.
`
`
`e5,M..2%.:8-m$,w..1..a_5ou_J.82.-Q.saw.vREE....a..._.,,.
`fSW5.?W.UM,...$4+_833-mmm._¥Ha_aon_.:oo4.LU.M.“183_8-82%”
`B..§-mE_.:
`
`(saeufiap) aouaxaygg aseud
`
`.M.8o.o-
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 42 of 104 PageID #: 178
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 42 of 104 Page|D #: 178
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 39 of 71
`
`US 7,136,761 B2
`
`3605
`
`3610
`
`O.
`
`9 CD
`
`.
`
`_.
`LI.
`
`0l0
`
`V
`-‘O
`
`J
`
`E)’-
`c‘v°>.§
`..
`
`OO!
`
`3
`-1-
`
`.0-
`3%’
`.m_:‘
`‘$0
`
`'-'fim5''C5rF§{_F
`
`L:
`: .9In
`
`E 3
`‘an
`
`l_
`
`r
`
`CDI
`
`n’)D.
`ED
`D.
`
`U)
`3
`g‘
`2
`§2._
`
`O2
`
`an
`o
`o
`
`v
`0
`o
`
`00
`Q
`o
`
`N
`o
`o
`
`o
`
`5
`5
`I
`c
`o
`(saa16ap)3oua1e;;gg aseud
`
`cu
`o_
`cf.»
`
`8
`cI>
`
`E5
`I
`o
`
`8
`I
`o
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 43 of 104 PageID #: 179
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 43 of 104 Page|D #: 179
`
`U.S. Patent
`
`Nov. 14, 2006
`
`Sheet 40 of 71
`
`US 7,136,761 B2
`
`LO
`O
`CD
`CO
`
`C)
`O
`ED
`CO
`
`O
`1-
`(.0
`(V)
`
`E
`
`U
`Ste
`0'3
`
`3 QU.
`
`2
`
`In('3
`
`8
`
`E
`aa
`g
`="«’ “
`
`3
`
`2
`
`2
`
`In
`
`......_.
`
`33$:
`cu N <1’ Q
`m¢m_
`
`D$$$
`-megs
`(6
`.
`.
`22$:
`a: v- ‘-0 N
`
`gg
`as 5? 3
`E E S
`u. E: 0
`
`8
`o
`
`8
`g
`
`5
`O‘
`
`°
`
`5
`O
`I
`
`3'
`O
`I
`
`(saaufiep) aauazaggg aseud
`
`_
`
`j
`
`.mwa
`
`_
`
`—
`
`“
`
`I—
`
`8
`O
`
`8
`O
`
`§
`
`2 1
`
`3
`.3
`5
`3
`LU
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 44 of 104 PageID #: 180
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 44 of 104 Page|D #: 180
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 41 of 71
`
`US 7,136,761 B2
`
`on
`
`o
`
`O
`
`__
`
`9 LL
`no
`
`o<
`
`1-
`
`7;
`V
`D”
`..
`co.§
`
`00|
`
`O
`7'‘
`
`--
`..-.—--—
`
`an
`2<r3'8
`1°‘?'.I‘°*-
`an
`0..$9‘?
`00¢»
`;o'\<::
`mqfiqj
`mC\l"‘l\l
`
`~
`
`.08-
`«I»?
`‘’’:J
`go
`El“-
`‘:w.‘
`81:25
`u.i—O
`
`
`
`co
`"I
`o
`
`co
`"’
`o
`
`er
`cu
`".
`"Z
`O
`c:
`(saa.Ifiap} aoua1a;4x_q aseqd
`
`er
`6
`
`o
`
`to
`‘‘°.
`
`as..
`
`9
`3
`2
`;
`o_J
`
`-
`
`In
`o
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 45 of 104 PageID #: 181
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 45 of 104 Page|D #: 181
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 42 of 71
`
`US 7,136,761 B2
`
`C<
`
`0 Lu
`
`§ § 3
`CO
`("3
`CO
`
`o0
`
`0 9L
`
`L
`
`3
`
`2
`
`E
`9. 3
`"=
`
`.__,
`
`8
`
`1__L__. 10
`
`gx 1
`£832
`"
`
`RawSDFourier:1.174e-01
`
`Time—based26135e-02Corr
`Fourier:6.457e-03
`
`2.2
`
`21
`
`
`
`£9
`N
`
`1-
`N
`
`(O
`N
`
`(saajfiap) aauaxaggg aseqd
`
`E g
`
`E
`.9
`I
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 46 of 104 PageID #: 182
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 46 of 104 Page|D #: 182
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 43 of 71
`
`US 7,136,761 B2
`
`LL
`
`.
`
`_..
`u.
`
`E
`a>
`_§
`
`oo
`0..-
`
`:3
`. m.(D
`
`
`
`Time-based23935efQ1Corr.Fourier:5.6509"-02
`
`Fourier
`
`0.5
`
`§ §
`C’)
`O‘)
`
`3
`0')
`
`>('3
`ca0
`C
`.2
`
`E'
`
`50‘)
`O
`
`*6
`G’
`3
`
`aE(
`
`U B2.
`
`.
`
`.5»
`I
`
`45
`
`3.5
`
`cu‘
`(saamap) a:Jue1a;;§g aseud
`
`1.5;
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 47 of 104 PageID #: 183
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 47 of 104 Page|D #: 183
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 44 of 71
`
`US 7,136,761 B2
`
`3 2
`E8 8
`
`E
`<2
`
`Oo0
`
`")
`
`L’
`U.
`
`.2
`
`On-Co
`.7-@039
`“NWO
`EdN_
`
`RawSDFourier:9.902e-02
`
`
`
`Time-based:5.990e-02Corr.Fourier:2616e—02
`
`g
`E
`
`(saasfiap) aouammq eseqd
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 48 of 104 PageID #: 184
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 48 of 104 Page|D #: 184
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 45 of 71
`
`US 7,136,761 B2
`
`LO
`8
`0’)
`
`Q
`£0
`8
`“
`L0
`no
`M
` -Z _ 4 I
`.
`.
`___V
`__
`
`‘Z.
`..
`
`_
`
`-
`
`
`
`o
`(D
`
`0
`In
`
`0
`
`4..
`
`C
`.9
`E
`g
`5
`E
`2
`-T
`g
`.1
`
`_
`
`~
`
`~
`
`_ 1
`
`4
`‘M
`_.
`
`_
`
`-
`
`-
`
`.2
`
`2
`
`—
`
`—
`
`~____
`’“""‘
`
`—
`
`,,__
`
`:-
`
`—
`
`_
`
`__ .....,.
`
`..e
`
`_
`
`‘
`
`H
`
`'-
`
`_
`
`*
`
`_
`
`--
`
`_
`
`"'
`
`M‘;
`‘-
`
`~
`
`_
`
`J‘.
`
`-
`
`i‘ *
`
`4 __
`
`_
`
`V 2-
`
`
`
`.
`
`—_.
`
`1
`
`.-.--
`3.: _“__,_.
`
`I
`3 o
`84;
`C
`3
`
`1
`
`E
`
`-
`Q
`H
`
`re,
`33°38
`IIINOO
`CEw—'P'c—'
`.-
`
`- D
`0
`w¢‘%u~é'§
`gomo
`cu°Q‘"-"Z
`g;-54-4-.-
`
`-
`V’ E
`_ ac
`.;
`-
`-EELL
`3.: 3
`7u.}—-O
`
`O
`‘IN
`
`o
`*‘
`
`"
`
`,‘
`*3?
`O
`
`‘"'
`
`‘__
`
`<9
`O
`
`tr
`o
`(saeniap) a::uaJa;u_a aseqd
`
`_.,
`
`o
`
`0!
`o
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 49 of 104 PageID #: 185
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 49 of 104 Page|D #: 185
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 46 of 71
`
`9
`9
`US 7 136 761 B2
`
`Ln
`3
`(.0
`
`0
`8
`no
`
`O
`26
`on
`
`O
`:0
`
`OIn
`
`O1'
`
`—
`E \9
`9 an
`(‘*1
`m .2
`“
`.
`D
`E:
`
`a
`
`9
`
`‘Emma
`
`—
`
`$§$
`2 8g
`C"J“(')
`£‘3‘r'~’...1'
`
`3.5U, _
`;.-,$53
`E ‘° 5
`8E8
`
`I
`(D
`.-
`
`
`
`‘W
`
`(‘'1
`
`®
`N
`
`(.0
`01
`
`N
`?_
`N
`N
`(seamap) aauaxaggo eseqd
`
`G]
`
`®
`-.—
`
`F
`
`L
`
`_
`
`E
`.9
`:6
`$
`3
`5.’ L
`3*
`g
`5.
`I
`
`‘
`
`|
`(‘J
`1"‘!
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 50 of 104 PageID #: 186
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 50 of 104 Page|D #: 186
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 47 of 71
`
`US 7,136,761 B2
`
`Ln
`o
`(.0
`0")
`
`-.a:: ~.=I_x‘. _‘.‘,
`_
`.__
`
`3
`3
`o 5
`(D
`to
`0'')
`
`_,:_
`
`" ~
`
`—~-
`
`o
`‘O
`
`ono
`
`o<r
`
`‘ cs 0:
`32, _\
`mg ©
`...
`(V3
`.
`)
`
`(
`H
`
`Qc
`
`u
`
`9
`
`' " ‘ ’“
`
`=
`
`..
`
`“M
`__
`
`_
`
`—~ocnU'Jo
`'.'=Lo0'1o
`a=:==*°-
`.-'.~..:|fl‘°7"" '
`1-‘-V-
`Q‘???m
`wfimfl
`:*°wcu".“!‘*.
`:[cn<1'u—
`
`U -
`cu-3
`Q 3
`__‘
`\_
`ggu
`,.3..§'6
`u.p—<_)
`
`._.‘
`
`-
`‘T
`...I;l;_
`
`C
`.9
`'65’._
`a:
`G5
`
`in
`J;
`2
`-5,
`'3‘:
`
`‘_
`
`—
`
`_
`
`’
`
`7."-
`
`~
`
`.1
`1
`
`_
`
`"'
`
`...,
`~—— «_~~--
`-
`
`Ln
`
`V
`
`—
`
`Q
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 51 of 104 PageID #: 187
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 51 of 104 Page|D #: 187
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 48 of 71
`
`US 7,136,761 B2
`
`FIG.36K
`
`5055
`
`45
`
`40
`
`0’)
`tn
`
`oz(")0
`§
`..
`
`In
`N
`
`3
`
`m
`'-
`
`C:
`F
`
`In
`
`-.8%'u‘a8
`l11y—CQ
`u:..'.—..-
`G
`52%
`amflim
`;5$8
`m'‘°.°.
`ms-"F
`
`‘OE
`
`_so
`H
`u
`25,“.
`8E6u.r—0
`
`1___!
`N
`<r
`I
`I
`
`_k_
`co
`I
`
`,1.
`co
`I
`
`
`
`<r
`
`N
`
`o
`
`co
`
`<0
`
`O
`C:
`0')
`co
`
`T‘
`o (sae16ap)aouaJa;;;g aseud
`«D
`co
`
`*'r
`
`C 2
`
`3:
`anE
`'-—
`
`E 3
`
`%
`5
`I
`
`I 2
`
`.‘Q
`E
`u.s
`
`1.
`
`_
`
`L
`
`o
`*
`
`I-0
`8
`co
`
`

`
`Case 6:12-cv-00799-JRG Document 1-2 Filed 10/22/12 Page 52 of 104 PageID #: 188
`Case 6:12—cv—OO799—JRG Document 1-2 Filed 10/22/12 Page 52 of 104 Page|D #: 188
`
`U.S. Patent
`
`Nov. 14,2006
`
`Sheet 49 of 71
`
`US 7,136,761 B2
`
`time(5)
`
`toIn
`Q..- 1020 1.000
`
`3:5341ev0I
`
`Time—'based:5.655e-01Corr
`
`Fourier55466-01
`
`.9
`F:
`
`I H
`
`awSD
`
`
`
`
`
`Highflow—emptytransition
`
`1“
`
`3605
`
`3600
`
`3610
`
`(saeufiap) eouaxaggcj aseq