Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 1 of 104 PageID #: 720
`Case 6:12-CV-00799-JRG Document 25-3
`|l1fl1l|1||fll11ll|11ll|ll|ll|1||||lF°
`
`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 25-3 Filed 01/31/13 Page 2 of 104 PageID #: 721
`Case 6:12—cv—00799—JRG Document 25-3 Filed 01/31/13 Page 2 of 104 Page|D #: 721
`
`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 25-3 Filed 01/31/13 Page 3 of 104 PageID #: 722
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 3 of 104 PagelD #: 722
`
`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 25-3 Filed 01/31/13 Page 4 of 104 PageID #: 723
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 4 of 104 Page|D #: 723
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 2 of 71
`
`US 6,311,136 B1
`
`

`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 5 of 104 PageID #: 724
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 5 of 104 Page|D #: 724
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 3 of 71
`
`US 6,311,136 B1
`
`

`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 6 of 104 PageID #: 725
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 6 Of 104 Page|D #: 725
`
`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 25-3 Filed 01/31/13 Page 7 of 104 PageID #: 726m
`aC
`.m7egaP
`6
`9
`2..5
`GR
`._._I.
`
`%U
`
`9Hmw0.aWPuS.
`
`1..t
`
`
`
` 2Mmmm0,tw3OCDO
`
`31H710.1B015m.wm%
`
`7m#.6mHwua3P‘IM61m
`
`Bmmmooi
`
`

`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 8 of 104 PageID #: 727
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 8 of 104 PagelD #: 727
`
`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 25-3 Filed 01/31/13 Page 9 of 104 PageID #: 728
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 9 of 104 PagelD #: 728
`
`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 25-3 Filed 01/31/13 Page 10 of 104 PageID #: 729
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 10 of 104 Page|D #: 729
`
`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 25-3 Filed 01/31/13 Page 11 of 104 PageID #: 730
`Case 6:12—cv—00799—JRG Document 25-3 Filed 01/31/13 Page 11 of 104 Page|D #: 730
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 9 of 71
`
`US 6,311,136 B1
`
`Square of
`Sensor Voltage
`(V‘V)
`
`Square of
`Sensor Voltage
`(v°v)
`
`0.12
`
`0.1
`
`0.08
`
`0.05
`
`0.04
`
`0.02
`
`O
`
`3 x 10.4
`
`2.5
`
`2
`
`1.5
`
`1
`
`0.5
`
`0
`
`.
`
`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 25-3 Filed 01/31/13 Page 12 of 104 PageID #: 731
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 12 of 104 Page|D #: 731
`
`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 25-3 Filed 01/31/13 Page 13 of 104 PageID #: 732
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 13 of 104 PagelD #: 732
`
`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
`
`

`
`
`
`
`
`MSor6E<5-v_o_v_m><>>m_m<3cm501:;mmatsod>E2m_52,__Nmo”.n_:E<5
`
`
`
`
`
`
`
`
`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 14 of 104 PageID #: 7333
`N
`%aC
`9
`F
`N,
`
`Nm
`
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`
`WWmPN<zo_m0.Dam.m>_mo
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`Nm._._.noo.
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`mmm-m2,N4<zo_mW.Mom>_mo
`
`cm
`
`51
`
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`
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`
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`71
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`mSoENmo<So>mU3momzmm
`
`

`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 15 of 104 PageID #: 734
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 15 of 104 Page|D #: 734
`
`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
`
`
`
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`
`
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`
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`
`om
`
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`
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`N
`
`N
`
`LO
`
`lb
`C:
`
`o
`
`to
`
`8
`
`o
`
`
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`o_.m>_mo
`
`N4<zo_w
`
`S-
`
`
`
`8-mm..07.
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`No3Nm_o<5o>
`
`momzmm
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`
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`1,;.o
`
`5N5.
`
`to
`
`e.e,__o
`
`.ENmo<._.._o>
`
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`
`
`N.o-u~_.0:
`
`..NNNN,NNN-as0:
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`
`

`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 16 of 104 PageID #: 735
`SaC
`6
`5
`
`
`
`
`
`
`
`
`
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`
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`
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`

`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 17 of 104 PageID #: 736
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 17 of 104 PagelD #: 736
`
`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 25-3 Filed 01/31/13 Page 18 of 104 PageID #: 737
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 18 of 104 PagelD #: 737
`
`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
`
`
`
`1560
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 19 of 104 PageID #: 738
`91at
`aC
`9
`3
`m
`
`1S,mU
`
`71W
`
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`M6,.$9
`
`mU
`
`mm\\omm:29Wm89399858%m.S.m>_oo¢m
`
`Jt
`
`mm.mm
`
`am:60B3H8_§8_8EMm89
`
`M%29go:
`
`_._.mam:Bm_=o_mo
`
`mm39one
`
`
`
`
`
`
`
`D0oo3_EE<oc_c:Boo_m:o_mo>_5o§mcm.o_oo3__9:<Bfiocoo%03%3,:
`ma"Emooc9o:5mmomminew5353:
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 20 of 104 PageID #: 739
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 20 of 104 Page|D #: 739
`
`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 25-3 Filed 01/31/13 Page 21 of 104 PageID #: 740
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 21 of 104 Page|D #: 740
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 19 of 71
`
`US 6,311,136 B1
`
`X 10-6
`
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`20
`
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`
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`
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`
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`20
`
`30
`
`40
`
`50
`
`60
`
`AD1879 Temperature(C)
`
`FIG. 19B
`
`

`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 22 of 104 PageID #: 741
`Case 6:12—cv—00799—JRG Document 25-3 Filed 01/31/13 Page 22 of 104 Page|D #: 741
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 20 of 71
`
`US 6,311,136 B1
`
`X10-6
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`3.045
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`
`20
`
`30
`
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`
`50
`
`60
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`AD1879 Temperature(C)
`
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`

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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 23 of 104 PageID #: 742
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 24 of 104 PageID #: 743
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 24 of 104 Page|D #: 743
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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 25-3 Filed 01/31/13 Page 25 of 104 PageID #: 744
`Case 6:12—cv—00799—JRG Document 25-3 Filed 01/31/13 Page 25 of 104 Page|D #: 744
`
`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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`
`Adjust Raw Data
`
`

`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 26 of 104 PageID #: 745
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 26 of 104 Page|D #: 745
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 27 of 104 PageID #: 746
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 27 of 104 Page|D #: 746
`
`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 25-3 Filed 01/31/13 Page 28 of 104 PageID #: 747
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 28 of 104 PagelD #: 747
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 26 of 71
`
`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 29 of 104 PageID #: 748
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 29 of 104 Page|D #: 748
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 27 of 71
`
`US 6,311,136 B1
`
`2600
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`2605
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 38 of 104 PageID #: 757
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 38 of 104 Page|D #: 757
`
`U.S. Patent
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`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 25-3 Filed 01/31/13 Page 39 of 104 PageID #: 758
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 39 of 104 Page|D #: 758
`
`U.S. Patent
`
`Oct. 30, 2001
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`Sheet 37 of 71
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`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 40 of 104 PageID #: 759
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 40 of 104 Page|D #: 759
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`U.S. Patent
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`Oct. 30, 2001
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 41 of 104 PageID #: 760
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 41 of 104 Page|D #: 760
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`U.S. Patent
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`Oct. 30, 2001
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`Sheet 39 of 71
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`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 42 of 104 PageID #: 761
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 42 of 104 Page|D #: 761
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`Oct. 30, 2001
`
`Sheet 40 of 71
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 43 of 104 PageID #: 762
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 43 of 104 Page|D #: 762
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`U.S. Patent
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`Oct. 30, 2001
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`Sheet 41 of 71
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 44 of 104 PageID #: 763
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 44 of 104 Page|D #: 763
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 42 of 71
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`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 45 of 104 PageID #: 764
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 45 of 104 Page|D #: 764
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 43 of 71
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`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 46 of 104 PageID #: 765
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 46 of 104 Page|D #: 765
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 44 of 71
`
`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 47 of 104 PageID #: 766
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 47 of 104 Page|D #: 766
`
`U.S. Patent
`
`Oct. 30 2001
`9
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 48 of 104 PageID #: 767
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 48 of 104 Page|D #: 767
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 46 of 71
`
`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 49 of 104 PageID #: 768
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 49 of 104 Page|D #: 768
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 47 of 71
`
`US 6,311,136 B1
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 50 of 104 PageID #: 769
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 50 of 104 Page|D #: 769
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 48 of 71
`
`US 6,311,136 B1
`
`FIG.36K
`
`4555
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`40
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`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 51 of 104 PageID #: 770
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 51 of 104 Page|D #: 770
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 49 of 71
`
`US 6,311,136 B1
`
`
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`Highflow—emptytransition
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`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 52 of 104 PageID #: 771
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 52 of 104 Page|D #: 771
`
`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 25-3 Filed 01/31/13 Page 53 of 104 PageID #: 772
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 53 of 104 Page|D #: 772
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 51 of 71
`
`US 6,311,136 B1
`
`.0 —A
`
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`100
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`140
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`120
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`time(s)
`
`FIG. 37E
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`CD
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`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 54 of 104 PageID #: 773
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 54 of 104 Page|D #: 773
`
`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 = 000522801
`
`
`C
`
`0
`
`20
`
`40
`
`60
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`8'0
`
`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 25-3 Filed 01/31/13 Page 55 of 104 PageID #: 774
`Case 6:12—cv—00799—JRG Document 25-3 Filed 01/31/13 Page 55 of 104 PagelD #: 774
`
`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
`
`-0.1
`
`0
`
`20
`
`40
`
`60
`
`""‘°‘s’
`
`80
`
`100
`
`120
`
`FIG 38D
`
`Mean value = 0.0169594. std = 0.0234245
`
`3<
`
`1)
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`Q E
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`0 15
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`20
`40
`60
`80
`100
`
`120
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`‘""°“’
`
`FIG 38E
`
`Mean value = 0.144992. std = 0.00420759
`.
`.
`
`20
`
`40
`
`60
`time(s)
`
`80
`
`100
`
`120
`
`FIG. 38F
`
`0.2
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`l
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`
`0.1
`
`O
`
`

`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 56 of 104 PageID #: 775
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 56 of 104 Page|D #: 775
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 54 of 71
`
`US 6,311,136 B1
`
`9 on
`
`'0:8k1E
`
`
`
`rawphase(degrees)
`
`98
`
`o
`
`Mean value = 0.663722, std = 000926315
`
`20
`
`40
`
`60
`
`W
`
`80
`
`1 00
`
`1 20
`
`FIG. 38G
`
`9’ 4>
`
`9°N
`
`Mean value = 2.89224, std = 0.123418
`
`
`
`
`(0
`
`N on
`
`NPOJ}0)
`
`20
`
`40
`
`60
`time(s)
`
`80
`
`100
`
`120
`
`FIG. 38H
`
`
`
`rawphase(degrees)
`
`

`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 57 of 104 PageID #: 776
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 57 of 104 PagelD #: 776
`
`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“‘
`
`0
`
`2o
`
`40
`
`610
`
`3'0
`
`1
`W’
`
`160
`
`140
`120
`FIG. 39A
`
`X 10-3
`
`Mean value = 000142935. std = 0000659252
`
`J>
`
`I0 corrected
`
`phase(degrees)
`
`0
`
`2'0
`
`40
`
`60
`
`80
`
`1 00
`
`“’"°‘S’
`
`1 40
`1 20
`FIG. 3913
`
`Mean value = 0.0040215, std = 0.0109707
`
`(degrees)
`correctedphase
`
`
`' 0
`
`20
`
`40
`
`60
`
`80
`
`100
`
`120
`
`140
`
`time(s)
`
`FIG. 39C
`
`

`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 58 of 104 PageID #: 777
`Case 6:12—cv—0O799—JRG Document 25-3 Filed 01/31/13 Page 58 of 104 Page|D #: 777
`
`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)
`
`so
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`mo
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`120
`
`FIG. 39D
`
`Mean value = 0.0167976, std = 0.00363328
`
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`FIG. 39E
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`C) 3.; \l
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`Mean value = 0.144992. std = 0.00108624
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`
`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 59 of 104 PageID #: 778
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 59 of 104 Page|D #: 778
`
`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 25-3 Filed 01/31/13 Page 60 of 104 PageID #: 779
`Case 6:12—cv—OO799—JRG Document 25-3 Filed 01/31/13 Page 60 of 104 Page|D #: 779
`
`U.S. Patent
`
`Oct. 30, 2001
`
`Sheet 58 of 71
`
`US 6,311,136 B1
`
`40
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`Case 6:12-cv-00799-JRG Document 25-3 Filed 01/31/13 Page 61 of 104 PageID #: 780O
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