`Case 6:12—cv—00799—JRG Document 1-3 Filed 10/22/12 Page 1 of 105 Page|D #: 241
`
`EXHIBIT C
`
`EXHIBIT C
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 2 of 105 PageID #: 242
`°””‘”'C”'°°799'JRG ”°°”'““"'“ 1'3 1'|IIl||1|MI1F|ll|fl||||l|1lm|I11|fll|I11fl1Ifll|TI
`I12
`
`US006311136B1
`
`(12) United States Patent
`Henry et al.
`
`(10) Patent N0.:
`(45) Date of Patent:
`
`US 6,311,136 B1
`Oct. 30, 2001
`
`FOREIGN PATENT DOCUMENTS
`
`0 696 726 A
`
`2/1996 (EP) .
`OTHER PUBLICATIONS
`
`M.P. Henry et al., “A Standard Interface For Self—Validating
`Sensors”, Report No. QUEL 1884/91, University of Oxford,
`Department of Enginering Science, Sep. 1991.
`M. Henry et al., “The Implications Of Digital Communica-
`tions on Sensor Validation”, Report No. QUEL 1912/92,
`University of Oxford, Department of Enginering Science,
`Apr. 1992.
`M.P. Henry et al., “Signal Processing, Data Handling and
`Communications: The Case for Measurement Validation”
`Mar. 1992.
`
`M.P. Henry et al., “A New Approach to Sensor Validation,”
`Improved Analyser Performance, IMC, Mar. 17, 1992.
`M.P. Henry, ‘“‘Intelligent” Behaviour For Self—Validating
`Sensors”, Advances
`In Measurement, pp. 1-7, date
`unknown.
`
`Spitzer, David A.; “Industries Flow Measurement”, pp.
`197-210; 1990; USA.
`DeCarlo, Joseph P; “Fundamentals of Flow Measurement”,
`pp. 208-220; 1984; USA.
`
`* cited by examiner
`
`Primary Examiner—Patrick Assouad
`Assistant Examiner—Manuel L. Barbee
`
`(74) Attorney, Agent, or Firm—Fish & Richardson P.C.
`
`(57)
`
`ABSTRACT
`
`A digital flowmeter includes a vibratable conduit, a driver
`connected to the conduit and operable to impart motion to
`the conduit, and a sensor connected to the conduit and
`operable to sense the motion of the conduit. A control and
`measurement system is connected between the driver and
`the sensor. The control and measurement system includes
`circuitry to receive a sensor signal from the sensor, generate
`a drive signal based on the sensor signal using digital signal
`processing, supply the drive signal to the driver, and gen-
`erate a measurement of a property of material flowing
`through the conduit based on the signal from the sensor.
`
`(54) DIGITAL FLOWMETER
`
`(75)
`
`Inventors: Manus P. Henry; David W. Clarke,
`both of Oxford (GB); James H. Vignos,
`Needham 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. 154(b) by 0 days.
`
`(21) Appl. No.: 09/111,739
`
`(22)
`
`Filed:
`
`Jul. 8, 1998
`
`(60)
`
`(51)
`
`Related U.S. Application Data
`Provisional application No. 60/066,554, filed on Nov. 26,
`1997.
`
`Int. Cl.7 ............................ .. G01F 1/00; G01F 23/00;
`G01F 1/84
`
`................ .. 702/45; 73/861.355; 73/861.356
`(52) U.S. Cl.
`(58) Field of Search ................................ .. 702/45-47, 50,
`702/100, 104-106; 73/861.356, 861.357,
`861.355
`
`(56)
`
`References Cited
`U.S. PATENT DOCUMENTS
`
`.
`9/1977 Gallatin et al.
`Re. 29,383
`11/1983 Smith ............................ .. 73/861.356
`Re. 31,450
`5/1976 Van Dyck ..
`..... .. 318/640
`3,956,682 *
`.
`4,419,898 * 12/1983 Zanker et al.
`73/861.02
`4,422,338
`12/1983 Smith ........... ..
`73/861.356
`4,491,025
`1/1985 Smith et al.
`.. 73/861.356
`. . . . . .
`4,727,746 *
`3/1988 Mikasa et al
`. . . . .. 73/23.31
`4,757,390
`7/1988 Mehrgardt et al.
`386/34
`4,782,711 * 11/1988 Pratt
`............. ..
`73/861.356
`4,817,448 *
`4/1989 Hargarten et al.
`.. 73/861.356
`4,823,614 *
`4/1989 Dahlin ............. ..
`73/861.357
`4,852,410
`8/1989 Corwon et al.
`............... .. 73/861.356
`4,879,911
`11/1989 Zolock.
`4,891,991
`1/1990 Mattar et al.
`
`
`
`.
`
`.
`
`(List continued on next page.)
`
`37 Claims, 71 Drawing Sheets
`
`MBSSHOW
`Measurement
`
`100
`
`105
`
`W
`
`
`
` 125
`
`Digital
`Controller
`
`Temp.
`Sensor
`II
`
`
`
` 115
`
`Flow Tube
`
`120
`
`110
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 3 of 105 PageID #: 243
`Case 6:12—cv—00799—JRG Document 1-3 Filed 10/22/12 Page 3 of 105 Page|D #: 243
`
`US 6,311,136 B1
`Page 2
`
`US. PATENT DOCUMENTS
`
`4>9“»006
`4»9“>020
`4,934,195
`4,934,196 *
`4,996,871
`5,027,662
`5,050,439
`
`5,218,869
`5,228,327
`5,271,281
`5,343,764
`5,347,874
`
`3/1990 Hargafien 6‘ a1~ ~
`3/1990 Th°mP5°“ ~
`6/1990 Hussain .
`6/1990 Romano ........................ .. 73/861.356
`3/1991 Romano .
`7/1991 Titlow et al.
`9/1991 Thompson .
`Mattar .
`6/1993 Pummer ............................... N 73/629
`
`7/1993 Bruck .......................... .. 73/1.34
`.
`12/1993 Mattar et a1.
`9/1994 Manar et a1,
`,
`9/1994 Kalotay et al.
`
`............... .. 73/861.357
`
`.
`
`5,400,653
`5,429,002
`5 469 748
`5,497,665
`5,497,666
`5,555,190
`5,570,300
`
`3/1995 Kalotay .
`7/1995 Coleman ......................... .. 73/86.356
`11/1995 Kalotay ......................... .. 73/861.356
`3/1996 Cage et al.
`.
`3/1996 Patten et al.
`9/1996 Derby et al.
`10/1996 Henry et al.
`
`.
`.
`.
`
`5,578,764
`
`.................... 73/861.356
`11/1996 Yokoi et al.
`Carpenter et 8.1.
`.
`5,687,100 * 11/1997 Buttler Ct 8.1.
`...................... .. 702/137
`5,774,378
`6/1998 Yang~
`5,804,741
`9/1998 Freeman ........................ .. 73/861.356
`340/606
`5,926,096
`7/1999 Mattar et al.
`..... ..
`6,092,429
`7/2000 Cunningham et al.
`....... .. 73/861.356
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 4 of 105 PageID #: 244
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 4 of 105 PagelD #: 244
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 1 of 71
`
`US 6,311,136 B1
`
`Massflow
`
`Measurement
`
`100
`
`105
`
`/'“
`
`
`
`
`
`Digital
`Controller
`
`Temp.
`
`Sensor
`
`120
`
`F|G.1
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 5 of 105 PageID #: 245
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 5 of 105 Page|D #: 245
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 2 of 71
`
`US 6,311,136 B1
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 6 of 105 PageID #: 246
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 6 of 105 Page|D #: 246
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 3 of 71
`
`US 6,311,136 B1
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 7 of 105 PageID #: 247
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 7 Of 105 Page|D #: 247
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 4 of 71
`
`US 6,311,136 B1
`
`COMMON MODE Y1FV
`
`Cf
`
`iF 1 F|(3..3
`
`L0
`
`CL
`
`0
`
`I
`
`e e °
`E 0
`O E <
`
`"’
`__—___':OJ_—_—“_—“— 0
`__
`LI.
`
`co
`LO
`
`0-
`
`0”
`
`Oomous MODEAlC i
`
`H?
`
`%_P
`
`P
`
`DEFLE:CT|ON I~_4BD FIG.3A
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 8 of 105 PageID #: 248O0
`aC
`m00egaP
`2..
`GR1..
`._H
`d
`
`m%
`
`1E72MQ5Ot1w
`
`412B..6#3D1,ma1aMWu6OS1U
`
`Wt7n0eOtwan_.P2.1S60mU
`
`1.1..l0n0e2m0,u3mLDm
`
`ammmooi
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 9 of 105 PageID #: 249
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 9 of 105 PagelD #: 249
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 6 of 71
`
`US 6,311,136 B1
`
`L0
`
`L0
`
`L0
`
`3
`
`L0
`
`500
`
`E‘
`
`120 Measurements
`
`
`
`DigitalController
`
`FIG.5
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 10 of 105 PageID #: 250
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 10 of 105 PagelD #: 250
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 7 of 71
`
`US 6,311,136 B1
`
`605
`
`600
`
`/V
`
`Collect
`
`Data
`
`
`
`Determine
`
`Frequency
`
`610
`
`615
`
`
`
`Determine/Eliminate
`
`Offset
`
`Determine
`
`Amplitude
`
`Determine
`
`Phase
`
`
`
`
`
`
`Generate Drive
`Signal
`
`Generate
`
`Measurements
`
`620
`
`625
`
`630
`
`635
`
`
`
`F|G.6
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 11 of 105 PageID #: 251
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 11 of 105 Page|D #: 251
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 8 of 71
`
`US 6,311,136 B1
`
`start_samp|e_S1
`
`S1 - in
`
`
`
`
`sta rt_offset_S1
`
`
`
`——H~—
`
`F|G.7A
`
`S2‘
`
`Time
`
`
`
`sta rt_offset_S2
`
`r4
`
`start_samp|e_S2
`
`F|G.7B
`
`Voltage
`
`Voltage
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 12 of 105 PageID #: 252
`Case 6:12—cv—00799—JRG Document 1-3 Filed 10/22/12 Page 12 of 105 Page|D #: 252
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 9 of 71
`
`US 6,311,136 B1
`
`0.12
`
`0.1
`
`Square of
`Sensor Voltage
`(V V)
`
`°’°8
`
`0.05
`
`0.04
`
`0.02
`
`O
`
`3 x 10.4
`
`2.5
`
`2
`
`1.5
`
`1
`
`0.5
`
`0
`
`Square of
`Sensor Voltage
`(v°v)
`
`.
`
`0.02
`
`0.03
`
`Time(s)
`
`F I G. 8 A
`
`-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 1-3 Filed 10/22/12 Page 13 of 105 PageID #: 253
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 13 of 105 Page|D #: 253
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 10 of 71
`
`US 6,311,136 B1
`
`_
`5
`Estimate end_point
`
`Determine # of Points
`
`for Curve Fitting
`
`900
`
`/,/
`
`905
`
`910
`
`915
`
`920
`
`925
`
`930
`
`935
`
`iteration_count = iteration_count + 1
`
`Select step length
`
`ep_int = int end_point + 0.5)
`
`
`
`940
`
`945
`
`950
`
`955
`
`Smooth z[k—1], z[k], z[l<+1]
`
`
`
`Calculate 2* & ><*
`
`iteration_count<3
`
`975
`
`Calculate Frequency
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 14 of 105 PageID #: 254
`Case 6:12—cv—00799—JRG Document 1-3 Filed 10/22/12 Page 14 of 105 PagelD #: 254
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 11 of 71
`
`US 6,311,136 B1
`
`1005
`
`1000
`
`/i/
`
`1010
`
`
`Determine
`f2m1.
`f1m2
`
`
`1015
`
`Determine Start and
`
`End Of d1m2. d2m1
`
`1020
`
`
`
`
`
`
`Determine Phase.
`Amplitude for d1 and
`02m. and Phase
`Difference
`
`
`
`
`1025
`
`1030
`
`Repeatfor
`
`d2: d1m2
`
`Generate Averages
`of Amplitude 8
`Phase Differences
`
`F|G.10
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 15 of 105 PageID #: 255mm
`e
`%aC
`._H
`
`11
`
`1w
`
`dh.ESNO
`
`mmN.W.0,N4<zo_m
`u3om>_mo
`
`32.m:U:
`
`0.4tonw
`
`
`
`
`
`
`
`6E<5-v_o_v_m><>>m_m<:om502:3mmatsod>E2m_E2,_.Nmo“.n5E<5
`WLana.mP4<za_mWPm_>_mouS.2.
`
`mmDO
`
`GAmvmsfim
`Nm._,_.noo.
`
`2m
`
`ENd
`
`1.-M0.7m....,..._FO
`
` I
`W.1..Smomzmm
`PN.o-U:DE
`”H__2_o3_.mo<5o>
`
`“K6Ems:
`5omSENmo<So>
`muaWto-
`D3N3_noa..wu,NO-Q:0:
`mUtomomzmm
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 16 of 105 PageID #: 256
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 16 of 105 Page|D #: 256
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 13 of 71
`
`US 6,311,136 B1
`
`
`
`
`
`
`
`E<»m.v_o_xm_><>>mm<:omI.:>>mm:§>o._N_>._.n=>_m._.m_>>..Nmo".N5E<5
`
`
`
`
`
`
`
`
`
`NNN2A13NON-<2.0:
`
`9..
`
`om
`
`oN4<zm_mSm>_mo
`
`LO
`N
`
`N
`
`LO
`
`lb
`C:
`
`o
`
`to
`
`8
`
`o
`
`
`
`o_.m>_mo
`
`N4<zo_w
`
`S-
`
`
`
`8-mm..07.
`
`No3Nm_o<5o>
`
`momzmm
`
`
`
`1,;.o
`
`1N5.
`
`to
`
`1.1,__o
`
`.ENmo<._.._o>
`
`Nomomzmm
`
`
`
`N.o-u~_.0:
`
`..NNNN,1NN-as0:
`.FEms:Nm.oo.m.
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 17 of 105 PageID #: 257
`SaC
`W
`
`eU
`
`
`
`
`
`
`
`
`
`7__.omMS.Efiwxo_x-m_><>>m_m<:om::>>m_m::,>od>Esm_Lmo“.n5E<5
`
`P3,
`
`2m
`
`n_.a_2m>_moWP.
`
`
`.JHH9.t......1CF:
`
`9n..H.mwA§o§§§§§§§§§§§§§§§§03,35
`
`
`...notonoNdtoom222 2-<2.0:
`
`
`§§§§§§<§§<<§<<<§§§§<§§ON22%m0.wJL
`Oa...DOamz:om
`m%oooo6m_%_:ooNotooH._moo.o....-.
`
`
`3.ommaDE4.W...1o_.-m2,A
`
`.
`.-orm>_mo
`
`to
`
`0MNo3_mo<5o>m.
`.mmomzmm
`
`mooowoooooYonoNotoo..mV0.um0:H-Nd-
`
`56om.SENmo<5o>
`f.nom0UmomzmWVa
`
`“.2”.6AmVm_>=._.
`ooBooonotonomo..oo,.W.M2-am.0:wH,mo-
`
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 18 of 105 PageID #: 258
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 18 of 105 PagelD #: 258
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 15 of 71
`
`US 6,311,136 B1
`
`1405
`
`Estimate Nominal
`Operating Frequency
`
`1410
`
`1415
`
`1420
`
`1425
`
`1430
`
`1435
`
`1440
`
`1445
`
`Synthesize
`Nominal Signals
`
`Multiply by Original
`Sensor Signals
`
`Eliminate
`
`High f Components
`
`Combine Signals
`to Produce uikl
`
`Calculate Frequency
`
`Deviation
`
`Add to
`
`Nominal Frequency
`
`Determine
`
`Amplitude
`
`Determine
`
`Phase Difference
`
`1400
`
`/V
`
`F|G.14
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 19 of 105 PageID #: 259
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 19 of 105 PagelD #: 259
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 16 of 71
`
`US 6,311,136 B1
`
`1505
`
`Flo
`
`
`urem
`
`/V 1500
`
`Digital Controller
`
`
`
`Multiplying
`D/A
`
`
`
`Multiplying
`D/A
`
`
`
`1505
`
`1550
`
`
`
`I -I
`
`
`
`Sensor
`
`FIG. 153
`
`Koltl
`
`
`
`1550
`
`
`
`
`
`MU
`
`7...m>_oomm
`wm9mwx\owe2Won”89mom:28_8%m
`
`
`
`wLEmooc9o:5mm89$new5353:mm®U::_QE<oc_c:Boo_m:o_mo>_5ofiacmo.%3__9__<9288
`
`
`
`
`
`
`
`
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 20 of 105 PageID #: 260
`0me
`3C
`#
`
`mmE9mm
`
`P»S
`
`w:60BPn8_§8_8E20.1mm89W.m
`
`m1
`..B
`
`nU
`
`P3,.%%39
`mm.E85mn,_9a_m8%32.32
`
`dh9926$
`
`
`
`Hmam:Bm_=o_moH1$989
`
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 21 of 105 PageID #: 261
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 21 of 105 Page|D #: 261
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 18 of 71
`
`US 6,311,136 B1
`
`F|G.18
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 22 of 105 PageID #: 262
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 22 of 105 Page|D #: 262
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 19 of 71
`
`US 6,311,136 B1
`
`X 10-6
`
`SV1: -ve Gain
`
`3.045
`
`3.04
`
`AD1879
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`
`3.03
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`20
`
`30
`
`40
`
`50
`
`60
`
`AD1879 Temperature(C)
`
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`
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`
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`
`3.03
`
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`
`3.02
`20
`
`30
`
`40
`
`50
`
`60
`
`AD1879 Temperature(C)
`
`FIG. 19B
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 23 of 105 PageID #: 263
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 23 of 105 Page|D #: 263
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 20 of 71
`
`US 6,311,136 B1
`
`X10-6
`
`SV1: +ve Gain
`
`3.045
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`
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`
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`
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`
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`
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`
`AD1879
`
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`
`20
`
`30
`
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`
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`
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`
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`
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`
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 24 of 105 PageID #: 264
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 25 of 105 PageID #: 265
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 25 of 105 Page|D #: 265
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`U.S. Patent
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`Oct. 30, 2001
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`Sheet 22 of 71
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`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 26 of 105 PageID #: 266
`Case 6:12—cv—00799—JRG Document 1-3 Filed 10/22/12 Page 26 of 105 Page|D #: 266
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 23 of 71
`
`US 6,311,136 B1
`
`2205
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`Every Cycle: Calculate I193. INS,
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`
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`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 27 of 105 PageID #: 267
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 27 of 105 Page|D #: 267
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 28 of 105 PageID #: 268
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 28 of 105 Page|D #: 268
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 25 of 71
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`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 29 of 105 PageID #: 269
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 29 of 105 PagelD #: 269
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 26 of 71
`
`US 6,311,136 B1
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`Cycle n
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 30 of 105 PageID #: 270
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 30 of 105 Page|D #: 270
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 27 of 71
`
`US 6,311,136 B1
`
`2600
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`
`Produce Frequency
`
`Estimate
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`Estimate Amplitude
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`2605
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`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 39 of 105 Page|D #: 279
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 36 of 71
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`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 40 of 105 PageID #: 280
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 40 of 105 Page|D #: 280
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 37 of 71
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`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 46 of 105 PageID #: 286
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 46 of 105 Page|D #: 286
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`Oct. 30, 2001
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`Sheet 43 of 71
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 47 of 105 PageID #: 287
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 47 of 105 Page|D #: 287
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`U.S. Patent
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`Oct. 30, 2001
`
`Sheet 44 of 71
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`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 48 of 105 PageID #: 288
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 48 of 105 Page|D #: 288
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`Oct. 30 2001
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 49 of 105 PageID #: 289
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 49 of 105 Page|D #: 289
`
`U.S. Patent
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`Oct. 30, 2001
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`Sheet 46 of 71
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`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 50 of 105 PageID #: 290
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 50 of 105 Page|D #: 290
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 47 of 71
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`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 51 of 105 PageID #: 291
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 51 of 105 Page|D #: 291
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 48 of 71
`
`US 6,311,136 B1
`
`FIG.36K
`
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 52 of 105 PageID #: 292
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 52 of 105 Page|D #: 292
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 49 of 71
`
`US 6,311,136 B1
`
`
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 53 of 105 PageID #: 293
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 53 of 105 Page|D #: 293
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 50 of 71
`
`US 6,311,136 B1
`
`o.35
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 54 of 105 PageID #: 294
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 54 of 105 Page|D #: 294
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 51 of 71
`
`US 6,311,136 B1
`
`.0 —A
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`FIG. 37E
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 55 of 105 PageID #: 295
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 55 of 105 Page|D #: 295
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 52 of 71
`
`US 6,311,136 B1
`
`mean = 81.9542. std = 0.0173229
`
` 0
`
`2'0
`
`40
`
`60
`
`80
`
`100
`
`20
`
`140
`
`time(s)
`
`FIG. 38A
`
`Mean value = 000142862. std = 0.00522801
`
`
`C
`
`0
`
`20
`
`40
`
`60
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`1 00
`
`120
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`1 40
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`
`rawphase(degrees)
`
`time(s)
`
`Mean value = 000304097. std = 0.341224
`
`(degrees)'o
`rawphase
`
`time(s)
`
`FIG. 38C
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 56 of 105 PageID #: 296
`Case 6:12—cv—00799—JRG Document 1-3 Filed 10/22/12 Page 56 of 105 PagelD #: 296
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 53 of 71
`
`US 6,311,136 B1
`
`0.1
`
`Mean value = 000123626, std = 0.0117307
`
`EG.)
`5:G.)
`
`0
`
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`0
`
`20
`
`40
`
`60
`
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`
`80
`
`100
`
`120
`
`FIG 38D
`
`Mean value = 0.0169594. std = 0.0234245
`
`3<
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`1)
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`80
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`120
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`FIG 38E
`
`Mean value = 0.144992. std = 0.00420759
`.
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`
`20
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`40
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`60
`time(s)
`
`80
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`100
`
`120
`
`FIG. 38F
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`0.2
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 57 of 105 PageID #: 297
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 57 of 105 Page|D #: 297
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 54 of 71
`
`US 6,311,136 B1
`
`9 on
`
`'0:8k1E
`
`
`
`rawphase(degrees)
`
`98
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`o
`
`Mean value = 0.663722, std = 000926315
`
`20
`
`40
`
`60
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`W
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`80
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`1 00
`
`1 20
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`FIG. 38G
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`9’ 4>
`
`9°N
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`Mean value = 2.89224, std = 0.123418
`
`
`
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`(0
`
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`
`NPOJ}0)
`
`20
`
`40
`
`60
`time(s)
`
`80
`
`100
`
`120
`
`FIG. 38H
`
`
`
`rawphase(degrees)
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 58 of 105 PageID #: 298
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 58 of 105 PagelD #: 298
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 55 of 71
`
`US 6,311,136 B1
`
`mean = 81.9535, std = 000533983
`a2
`
`
`
`correctedtreq(Hertz)929? coinO'>G)
`
`~x“‘
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`0
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`2o
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`40
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`610
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`3'0
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`
`160
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`140
`120
`FIG. 39A
`
`X 10-3
`
`Mean value = 000142935. std = 0000659252
`
`J>
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`phase(degrees)
`
`0
`
`2'0
`
`40
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`60
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`80
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`1 00
`
`“’"°‘S’
`
`1 40
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`FIG. 3913
`
`Mean value = 0.0040215, std = 0.0109707
`
`(degrees)
`correctedphase
`
`
`' 0
`
`20
`
`40
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`60
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`80
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`100
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`120
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`140
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`time(s)
`
`FIG. 39C
`
`
`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 59 of 105 PageID #: 299
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 59 of 105 Page|D #: 299
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 56 of 71
`
`US 6,311,136 B1
`
`Mean value = 000113804, std = 0.000601559
`
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`time(s)
`
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`
`120
`
`FIG. 39D
`
`Mean value = 0.0167976, std = 0.00363328
`
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`FIG. 39E
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`Mean value = 0.144992. std = 0.00108624
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`
`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 60 of 105 PageID #: 300
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 60 of 105 Page|D #: 300
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 57 of 71
`
`US 6,311,136 B1
`
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`Mean value = 2.89254. std = 0.00922299
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`Case 6:12-cv-00799-JRG Document 1-3 Filed 10/22/12 Page 61 of 105 PageID #: 301
`Case 6:12—cv—OO799—JRG Document 1-3 Filed 10/22/12 Page 61 of 105 Page|D #: 301
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 58 of 71
`
`US 6,311,136 B1
`
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