Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 1 of 121 PageID #: 496
`Case 6‘”"’”'°°799'JRG ”°"””‘e“‘ 2“ lllllllllllllllllllllllllfllllllllllflllllllll |l|l|l|||1lllIlll|llll1|||“%
`
`US007124646B2
`
`(12) United States Patent
`Henry et al.
`
`(10) Patent No.:
`(45) Date of Patent:
`
`US 7,124,646 B2
`Oct. 24, 2006
`
`(54) CORRECTING FOR TWO-PHASE FLOW IN
`A DIGITAL FLOWMETER
`
`(75)
`
`Inventors: Manus P. Henry, Oxford (GB); Maria
`Jesus De La Fuente, Valladolid (ES)
`Invensys Systems, Inc., Foxboro, MA
`US
`(
`)
`-
`-
`-
`-
`Subject to any disclaimer, the term of this
`patent is extended or adjusted under 35
`U.S.C. 154(b) by 0 days.
`
`(73) Assignee:
`
`-
`( * ) Notice:
`
`(56)
`
`............................................... .. 73/861.356
`(52) U.S. Cl.
`(58) Field of Classification Search ......... .. 73/861.356,
`73/861.357, 861.358; 702/45
`See application file for complete search history.
`References Cited
`Us. PATENT DOCUMENTS
`3,956,682 A
`5/1976 Van Dyck
`RE29,383 E
`9/1977 G 11
`'
`4 358 822 A
`“/1982 S:nca1:I;et a
`R’E31:450 E
`“/1983 Smith
`
`1.
`
`(21) Appl. No.: 11/207,876
`
`(Continued)
`FOREIGN PATENT DOCUMENTS
`
`(65)
`
`Prior Publication Data
`
`US 2005/0284237 A1
`
`Dec. 29, 2005
`
`(Continued)
`
`OTHER PUBLICATIONS
`
`Related U_S_ Application Data
`(63) Continuation-in-part of application No. 11/130,233,
`filed on May 17, 2005, and a continuation of appli-
`cation No. 10/831,228,. filed on Apr. 26, 2004, now
`Pat‘. No. 6,981,424, which is a continuation of appli-
`cation No. 10/637,620, filed on Aug. 11, 2003, now
`Pat. No. 6,917,887, which is a continuation of appli-
`cation No. 10/339,623, filed on Jan. 10, 2003, now
`P31 NO~ 5,758,102, Which is 3 cOhfihuafiOh Of 3131311‘
`ca1iOh NO~ 09/931,057, 111cd Oh Aug 17: 2001: hOW
`P31 NO~ 5,754,594, Which is 3 cOhfihuafiOh Of aPP1i'
`ca1iOh NO~ 09/815,273, 111cd Oh M31 23, 2001, hOW
`Pat NO 5505519, ahd 3 cOhfihuafiOh Of aPP1icafiOh
`NO 09/715,544, 111cd Oh NOV~ 21, 2000, hOW ahah'
`dchcda Which is 3 cOhfih11afiOh Of aPP1icafiOh NO~
`09/ 111,739, 111cd Oh -1111 8, 1998, hOW Pat NO
`6,311,135
`(60) Provisional application NO. 60/191,465, filed on Map
`23, 2000, provisional application No. 60/066,554,
`filed Op NOV. 26, 1997.
`Int. Cl.
`G01F 1/84
`
`(2006.01)
`
`(51)
`
`Dfeg1ar10,1\;lI0seph; “TrpeUM_2:s:-1F120w M§(2;:§u:e2r(I)1erit9”§4Fundamenta1s
`0
`ow easuremen,
`ni
`- ;pp.
`-
`;
`.
`.
`(commued)
`Primary Examl~ne,,iJeWe1V. Thompson
`(74) Attorney] Agent] or Firmipish & Richardson RC.
`
`(57)
`
`ABSTRACT
`
`A flowmeter is disclosed. The flowmeter includes a vibrat-
`able conduit, and a driver connected to the conduit that is
`operable to impart motion to the conduit. A sensor is
`connected to the conduit and is operable to sense the motion
`of the conduit and generate a sensor signal. A controller is
`connected to receive the sensor signal. The controller is
`operable to detect a single-phase flow condition and process
`the sensor signal usinga first process during the single-phase
`flow condition to generate a validated mass-flow measure-
`ment. The. controller is also operable to detect ‘a two-phase
`flow condition and process the sensor signal using a second
`procdests ((11uring 111116 two-phase flov: condition to generate the
`vai a e mass- ow measuremen.
`
`19 Claims, 84 Drawing Sheets
`
`Massflow
`Measurement
`
`105
`
`100
`
`Digital
`
`Controller
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 2 of 121 PageID #: 497
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 2 of 121 Page|D #: 497
`
`US 7,124,646 B2
`Page 2
`
`......... .. 73/861.356
`
`1/2003 Henry et a1.
`1/2003 He
`et al.
`4/2003 Zu:lr<:rwar et al.
`5/2003 Dutton et al.
`7/2004 Hemy et al.
`3/2002 Dutton et al.
`3/2002 Henry et al.
`9/2002 Maginnis
`3/2006 Logue et al.
`
`......... N 73/861.356
`
`............... .. 702/45
`
`6,505,519 B1*
`6,507,791 B1
`6,551,251 B1
`6,564,619 B1
`6,758,102 131*
`2002/0033043 A1
`2002/0038186 A1
`2002/0133307 A1
`2006/0058971 A1 *
`
`U.S. PATENT DOCUMENTS
`
`4,419,898
`4,422,338
`4,470,294
`4,491,025
`4,688,418
`4,727,745
`4,757,390
`4,773,257
`4,732,711
`
`4,817,448
`
`4,852,395
`
`>>>>>>>D>>>D>>>>>>>>D>>>>>>>>D>>>D>D>>D>D>>D>D>D>D>D>D>D>D>D>>D>D>>D>D>>D>D>>D>D>D>D>
`
`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
`5,343,764
`5,347,874
`5 400 653
`5’429’002
`5’469’748
`5’497’665
`5’497’666
`515351632
`5,555,190
`5,570,300
`5,578,764
`5,594,180
`5’648’616
`5’654’5-02
`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 B1
`6301973 B1
`6,309,342 B1
`6’311’136 B1
`6’318’156 B1
`6,318,186 B1
`6,327,914 B1
`6,505,131 B1
`
`12/1983 Zanker 0101,
`12/ 1983 Smith
`9/1984 Hamel ...................... .. 73/32 A
`1/ 1985 Smith 0101,
`8/ 1987 Cheung et 81,
`3/ 1988 Mikasa 0101,
`7/ 1988 Mehrgardt et 31,
`9/1988 Aslesen et al.
`11/1983 Pratt
`
`4/1989 Hargarten et al.
`
`8/1989 K°1P‘1k
`
`1/1990 Mattar et al.
`1/1990 Bergamini et al.
`3/1990 Hargarten et al.
`3/1990 Thompson
`6/1990 Hussain
`6/1990 Romano
`3/1991 Romano
`.
`7/1991 Tlflow et 31'
`7/1991 Liu et 31'
`9/1991 Thompson
`10/1991 Christ et 31'
`10/1991 Fitzgerald et 31'
`10/1991 Mattar
`6/1993 Pumrner
`7/1993 Bruck
`11/1993 Kolpak
`12/1993 Mattar et 31'
`3/1994 Arunachalam et al.
`4/1994 Cage et al.
`9/1994 Mattar et al.
`9/1994 K 1
`t
`tal.
`3/1995 K:1:t:§e
`7/1995 Coleman
`11/1995 Kalotay
`3/1996 Cage et 31'
`3/1996 Patten et 31'
`7/1996 K°1P“k
`9/1996 Derby et al.
`10/1990 Henry er 01,
`11/1996 Yokoi et al.
`1/1997 Carpenter et al.
`7/1997 Keel
`8/1997 Dutton
`11/1997 Buttler et al.
`3/1998 Aberson
`3/1998 Bose et 31'
`6/1998 Yang
`9/1998 F
`3/1999 Kri:::;:ESkaS et al.
`7/1999 Mattar et al.
`10/1999 Rjvkin
`6/2000 Stadler
`7/2000 Cunningham et 31'
`2/2001 Pado et al.
`10/2001 Smith
`10/2001 Blazey et al.
`10/2001 Henry et 31'
`11/2001 Dutton et 31'
`11/2001 Smith et al.
`12/2001 Dutton
`1/2003 Henrot
`
`FOREIGN PATENT DOCUMENTS
`
`EP
`
`W0
`
`0 702 212
`
`WO 93/21505
`
`3/1996
`
`10/1993
`
`.
`
`OTHER PUBLICATIONS
`“
`.
`.
`31$’iiifiaieifiiffrfiifo5’,fhZ§§°f;?§3E§Zl’cS Iéliiiiiy
`ASME Fluid Engineering Division Publication FED vol 17 pp,
`’
`'
`’
`'
`75-84’ 1984'
`J. Hemp et al.; “On the Theory and Performance of Coriolis Mass
`Flowmeters” Proceedings of the International Conference on Mass
`Flow Measurement Direct and Indirect‘ IBC Technical Services‘ 40
`pages, London Feb 1989
`’
`’
`Henry M P ‘“,Intelligent’ l3ehaviour For Self-Validating Sensors”
`5
`Advarices. Iii Measurement pp 1-7 date unknown
`Henry M P “Self-Validation Improves Coriolis Meter” Control
`En -
`’
`-' " 42 6
`81_86 1995
`’
`gmeenng’ ,,
`(
`)’ pp‘
`.
`.
`(
`)'
`.
`,,
`.
`He;inr(y, M.I;.,E Sensor_ValiIdation1 a;1d6Fie1db1;s63,
`Computing
`H:
`Onli/IIOP Zflgierlgi Nlgii/1aA iogfchpto Sensor Validation”
`my’
`' "
`"
`pp
`’
`Improved Analyser Performance, IMC, Mar. 17, 1992.
`,,
`.
`_
`.
`.
`.
`.
`.
`_
`§:rt1:y,,, I2/f)P.,():tera]li.‘,eWA1§e9:l9f Validating Digital Coriolis Mass flow
`’
`C,
`'
`-
`-
`Henry, M.P., et al., A Standard Interface. For Self-Validating
`Sensors”, Report No. QUEL 1884/91, University of Oxford, Depart-
`IIrII1:nt 0fl\TIPglI<:e2Ilng"Sfle:I€Pr§:I<:ssir?91Data Handlin and Com-
`muIr11IiIc],ationsI The Case Ifblr Measuremegnt Validation” lglar 1992
`He
`M P . et al
`“The Im lications Of Di
`ital Communications
`V1-,1 1"
`” R pr: N
`UEL 1912/92 U '
`'
`f
`3‘ fefisg 3‘ amt“ ’fEep‘.’
`.°' % .
`A
`1’99§‘VerS"y °
`H: °r TM Sp et ,f“,,¥he Islilrfl-e\:Ili1dgatirc1leIS::fsofrI{ationa1e Defini-
`. my’
`d‘ 15
`‘1’
`,, C
`1 E
`. g .
`P‘
`.
`1
`4
`gi§r51s671(r)1 199x3amp es ,
`ontro
`ngineering
`ractice,
`(
`), pp.
`Liu-RP, et all “A Neural Network to Correct Mass Flow Errors
`Caiised b, TWo.,Phase Flow in a Di
`ital Coriolis Mass Flow Meter”
`E
`.
`Y
`S .
`D
`E) f d U .
`.
`F1
`-
`Lnggeegng t clleniif epéfffn:13’ k’;°r
`nlllvfrsitjyfi
`(1)0V
`l\/I1<=:1sfai,rem,ef1:ts’IT .Flov:ul\I/l1easu:erI(1)<:nt arIIiIIrI)rl1sctruri)1entafi1:r(In:Icol
`’
`'
`pp 3543 1999’
`’
`'
`-
`’
`'
`,
`-
`-
`-
`-
`-
`Merriam-Webster s Collegiate Dictionary, Tenth Edition, 1998, p.
`747.
`-
`.,
`-
`II:1<:;iIr1rt1:rti1(r)1I,1,.I.,pIl)<=5\;<e91oA1‘)5I21ents in Tow-Phase Mass Flow Rate Instru.
`Skea A.F., “Elfects of Cas Leaks in Oil Flow on Single-Phase
`Flowineters” Flow Measurement and Instrumentation vol 10
`’
`’
`'
`’pp'
`“Mass Flowmeters ” Industries Flow Measure-
`S4i6t-zleio
`Hint éhapter 12"pp 197_210 1990’
`Wood et al. “A ,Phase-Locked Loop for Driving Vibrating Tube
`D
`',
`ters,” Rev Sci
`Instrum vol 60 No 3 Mar 1989
`453115376
`’
`'
`"
`'
`’
`'
`’
`'
`'
`’ pp‘
`-
`'
`* cited by examiner
`
`'
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 3 of 121 PageID #: 498
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 3 of 121 Page|D #: 498
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 1 of 84
`
`US 7,124,646 B2
`
`Massflow
`
`Measurement
`
`100
`
`105
`
`Digital
`Controller
`
`120
`
`F|G.1
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 4 of 121 PageID #: 499
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 4 of 121 Page|D #: 499
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 2 of 84
`
`US 7,124,646 B2
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 5 of 121 PageID #: 500
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 5 of 121 Page|D #: 500
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 3 of 84
`
`US 7,124,646 B2
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 6 of 121 PageID #: 501
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 6 of 121 Page|D #: 501
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 4 of 84
`
`US 7,124,646 B2
`
`Q
`
`Z
`g e
`2 Oo 2
`
`0
`
`0 .T_.?T/_——r_ D L)
`M
`2
`LI.
`
`LC
`L0
`
`0.
`
`D
`
`$
`
`M
`e 23 ‘’
`E0 "—"“’0J—"—‘—'— Q
`Q E <
`__
`LL.
`
`co
`U7
`
`0-
`
`00
`
`0.
`
`0 Z)0 <
`CD
`E
`8
`(‘'3
`3 LU
`es ~-~9—«—~oJ~—a-—»——
`°
`0 E
`“
`Li
`9
`DE
`0
`LI.
`
`B
`
`A /‘x
`
`P
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 7 of 121 PageID #: 502
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 7 of 121 Page|D #: 502
`
`U.S. Patent
`
`Oct. 24, 2006
`
`Sheet 5 of 84
`
`US 7,124,646 B2
`
`_om$oo_n_
`
`
`
`00¢29258
`
`if
`
`0?
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 8 of 121 PageID #: 503
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 8 of 121 PagelD #: 503
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 6 of 84
`
`US 7,124,646 B2
`
`500
`
`R
`
`L0
`
`L0
`
`L0
`
`E?
`
`L0
`
`120 Measurements
`
`
`
`DigitalController
`
`FIG.5
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 9 of 121 PageID #: 504
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 9 of 121 Page|D #: 504
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 7 of 84
`
`US 7,124,646 B2
`
`600
`
`/V
`
`605
`
`610
`
`615
`
`
`
`Determine/Eliminate
`
`Collect
`
`Data
`
`Determine
`
`Frequency
`
`Offset
`
`
`
`
`
`Determine
`
`Amplitude
`
`Determine
`
`Phase
`
`
`
`
`
`
`Generate Drive
`
`Signal
`
`Generate
`
`Measurements
`
`620
`
`625
`
`630
`
`635
`
`
`
`F|G.6
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 10 of 121 PageID #: 505
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 10 of 121 Page|D #: 505
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 8 of 84
`
`US 7,124,646 B2
`
`
`
`start_samp|e_S1
`
`51- in
`
`Voltage
`
`
`—-I I-
`
`
`
`
`start_offset_S1
`
`
`
`
`start_offset_S2
`
`Voltage
`
` r4
`
`
`Time
`
`start_samp|e_S2
`
`F|G.7B
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 11 of 121 PageID #: 506
`Case 6:12—cv—0O799—JRG Document 25-1 Filed 01/31/13 Page 11 of 121 Page|D #: 506
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 9 of 84
`
`US 7,124,646 B2
`
`0.12
`
`0.1
`
`Square of
`Sensor Voltage
`(v.V)
`
`°'°8
`
`0.06
`
`0.04
`
`0.02
`
`0
`
`0
`
`3 x 10-‘
`
`2.5
`
`2
`
`,5
`
`1
`
`0.5
`
`0
`
`Square of
`Sensor Voltage
`(V'V)
`
`0.005
`
`0.01
`
`0.015
`
`0.02
`
`0.025
`
`0.03
`
`Tirne(s)
`
`FIG. 8A
`
`-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 25-1 Filed 01/31/13 Page 12 of 121 PageID #: 507
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 12 of 121 PagelD #: 507
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 10 of 84
`
`US 7,124,646 B2
`
`905
`
`Initialize Variables
`
`910
`
`_
`_
`Estimate end_point
`
`Determine # of Points
`for Curve Fitting
`
`iteration_count = O
`
`915
`
`920
`
`92
`
`5
`
`900
`
`/V
`
`iteration_count = iteration_count + 1
`
`930
`
`935
`
`Select step length
`
`ep_int = int end_point + 0.5)
`
`Fill 2 Array
`
`Smooth z[k-1], z[k], z[l<+1]
`
`
`
`940
`
`945
`
`950
`
`95
`
`5
`
`
`
`Fit Quadratic
`
`Calculate 2* & x*
`
`iteration_count<3
`
`975
`
`Calculate Frequency
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 13 of 121 PageID #: 508
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 13 of 121 Page|D #: 508
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 11 of 84
`
`US 7,124,646 B2
`
`1005
`
`
`
`f1:
`f2IlT1I
`for d1, d2
`
`811112
`
`1000
`
`/V
`
`1010
`
`1015
`
`Determine
`
`f2m1.
`
`f1m2
`
`Determine Start and
`
`End Of dtmz. d2m1
`
`
`
`
`
`
`1020
`
`Determine Phase,
`
`Amplitude for d1 and
`02m. and Phase
`Difference
`
`
`
`
`1025
`
`1030
`
`Repeat for
`
`d2. d1m2
`
`Generate Averages
`of Amplitude 8
`Phase Differences
`
`F|G.10
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 14 of 121 PageID #: 5099O5
`a
`aC
`9
`
`
`
`
`
`
`
`onPEW__.E<Z-v_o_v_m_><>>mm<:cm.SOI.:>>mm:Eso._N_>E_>_mE;_.NmomN5E<5
`
`
`
`
`
`%U
`
`nutVa
`
`m4mm:<zo_mO6m_>_mo
`
`m2.
`
`1..NN
`tmDmam.__>_:Doo.mN2NII.N<:om
`
`
`e2HNézoaM4:om>_mo
`
`0
`
`Hh.NoFSam.s_:
` ..m.Pmoo..3NNNNNN....u:u:MH..W.,....:....rd-B0_,.m.HoE_.mommmmmmwm._3N
`
`Pamzp
`
`
`
`
`
`26,__H.,H...N.,.,..
`.m0....N.........N......£1
`N1_NNNNN2.N2-m_:0:
`..Nnoo.
`
`fS
`
`mNNd
`
`
`
`MUoEmmo<5o>1tomomzmm
`
`Wmm%W6:
`
`P4.Io1HNoD:U:H7,to-
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 15 of 121 PageID #: 510O1.5
`me
`aC
`51.e9aP3
`4.%
`GRAu9
`I
`
`sU
`
`9tmn
`omWu
`
`C
`
`9%
`tmn082maU4m2.
`
`dt.mm._HS
`
`01
`
`1.3
`
`30
`
`mmM1.9.1
`
`17mm
`m_1,
`
`wma4:P2
`
`D6
`
`“mm
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`m_><>>mm<:omI._._>>m_m3:so.:>E_>_m._.m>>__Nmom.SE<52,_,,$_,§__,fi_§.;,,$,,,$_N:523:_,._g::ME<5-v_o_x
`
`mwNn.9no
`
`
`
`M _,§_,,_,_§.,§,§,,‘_ z_: *_: :_,___k:,_,_:.3mp
`
`ca-msomOT
`
`
`2{gas.0:
`LL.HHvo
`
`o
`
`
`
`..“X.Ol
`
`A3Nm_o<5o>
`
`-Ndmomzmm
`
`..o..H2-us0:
`
`7.NoEPm_e<5o>W.momzmm
`
`vo
`
`._...o
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 16 of 121 PageID #: 511
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 16 of 121 Page|D #: 511
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 14 of 84
`
`US 7,124,646 B2
`
`
`
`
`
`
`
`Hm_<._.mv_O_v_.m_><>>mm<:omIC>>mmatsod>E_>m_Lmom.n_:E<»m
`
`
`
`
`
`
`
`.m.oso©.onotonoN.o«.0o
`
`ICPI
`
`.-o.m>Eo
`
`Wor4<zoa
`
`
`
`8-<m_.O_u_
`
`
`
`.....,:..1....,...,O.‘m>_N_O
`
`_
`
`
`
`
`
`...N4<zoa
`
`wenoQonoToweNd«.0
`
`02.mm.0:
`
`to
`
`o
`
`No-
`
`A>vrmo<»4o>
`
`momzmm
`
`2.-U2.0:
`
`Amvm=>_C2S3nowe23S
`
`‘.......:Nomomzmm
`
`A>vmmo<e4o>
`
`o
`
`!.N.©A
`
`E-or.0:
`
`muwzz.o
`
`Yo
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 17 of 121 PageID #: 512
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 17 of 121 Page|D #: 512
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 15 of 84
`
`US 7,124,646 B2
`
`1405
`
`Estimate Nominal
`
`Operating Frequency
`
`1410
`
`1415
`
`1420
`
`1425
`
`1430
`
`1435
`
`1440
`
`1445
`
`1400
`
`/V
`
`Synthesize
`Nominal Signals
`
`Multiply by Original
`Sensor Signals
`
`Eliminate
`
`High f Components
`
`Combine Signals
`to Produce u[k]
`
`Calculate Frequency
`
`Deviation
`
`Add to
`
`Nominal Frequency
`
`Amplitude
`
`1
`Determine
`Phase Difference «
`
`.
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 18 of 121 PageID #: 513
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 18 of 121 PagelD #: 513
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 16 of 84
`
`US 7,124,646 B2
`
`Flo
`
`1505
`
`“'9”
`
`1500
`
`Digital Controller
`
`
`
`
`
`Multipl
`ymg
`D/A
`
`l
`
`1525
`
`
`
`Multiplying
`D/A
`
`
`
`
`
`
`
`1505
`
`1550
`
`Sensor
`
`FIG. 1513
`
`P/I Control
`
`I
`
`1560
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 19 of 121 PageID #: 514
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 19 of 121 Page|D #: 514
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 17 of 84
`
`US 7,124,646 B2
`
`89
`
`:60B:o_§8_aoE
`
`Q09
`
`oq©_
`
`
`
`moorEmaBmcmm
`
`ozmoom
`
`99
`
`3.9
`
`em
`
`
`
`
`
`mu3__aE<ocE:8mo
`
`_95_mo>:oBeocoo
`
`oocemzama
`
`
`
`.mc3_ae<Bfimcoo
`
`mmmfnewScoscmi
`
`39one
`
`
`
`89>.992080
`
`29go:
`
`283.255$51.25:
`
`B9
`
`
`
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 20 of 121 PageID #: 515
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 20 of 121 Page|D #: 515
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 18 of 84
`
`US 7,124,646 B2
`
`
`
`F|G.18
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 21 of 121 PageID #: 516
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 21 of 121 Page|D #: 516
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 19 of 84
`
`US 7,124,646 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 3.035
`
`3.025
`
`3.02
`20
`
`30
`
`40
`
`50
`
`60
`
`AD1879 Temperature(C)
`
`FIG. 19B
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 22 of 121 PageID #: 517
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 22 of 121 Page|D #: 517
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 20 of 84
`
`US 7,124,646 B2
`
`3.045
`
`3.04
`
`AD1879
`Gain
`
`3.035
`
`3.03
`
`X 10-6
`
`SV1: +ve Gain
`
`
`
`3.025
`20
`
`30
`
`40
`
`50
`
`60
`
`AD1879 Temperature(C)
`
`X 10-4
`
`SV1: Zero Offset
`
`AD1879
`
`Offset
`
`Zero
`
`20
`
`30
`
`40
`
`50
`
`60
`
`AD1879 Temperature(C)
`
`F|G.19D
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 23 of 121 PageID #: 518
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 23 of 121 Page|D #: 518
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 21 of 84
`
`US 7,124,646 B2
`
`500
`
`400
`
`§:E
`CO
`
`.
`)
`
`8‘
`1—
`
`H
`
`o
`
`co
`o
`o
`o
`
`to
`o
`o
`o
`
`v-
`o
`O
`I
`
`N
`4-
`o_
`o
`
`v
`.—
`o
`o
`
`<9
`.-
`o
`o?
`
`500
`
`500
`
`100200 FlG0 O
`100200FIG.2OAmean=-0.00234461,std=0.00875262
`
`
`400
`
`300 20C
`
`Y’
`Q.o
`
`0.015
`0.005
`-0.005
`-0.015
`-0.01
`gems peweuawl U0 paseq aseud
`
`cu
`0.o
`I
`
`to
`<0
`
`Non
`
`o7'‘
`
`o C
`
`.‘o
`II
`
`en
`
`2
`:1‘
`3
`0Y’
`
`Q "
`
`3
`u
`C
`
`8
`E
`
`
`
`mean=000627865.std=0.00144671
`
`400
`
`300
`
`0
`
`wr
`.o
`
`o 0
`
`®
`$
`O.
`G
`
`(0
`$
`O.
`G
`
`0.002
`sfiugssom 0192 8/\+ uo paseq eseud
`
`C\l
`\—
`0
`C
`
`6
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 24 of 121 PageID #: 519
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 24 of 121 Page|D #: 519
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 22 of 84
`
`US 7,124,646 B2
`
`18
`
`16
`
`14
`
`12
`
`9?:
`3
`Q
`5.
`E’
`Q‘-
`E-
`
`£0
`‘—.
`
`O
`
`1L
`
`i.
`
`‘D
`
`4
`
`'
`J.
`3°_“see:se°°
`O.
`O.
`o‘
`O.
`o_
`o,
`o_
`O O
`° ° ° 0
`(ssajfiap) uouemep pnapuels
`
`18
`
`16
`
`14
`
`12
`
`o
`-1?
`3
`O
`5
`an
`.g
`®l—
`
`(D
`
`<(
`P‘
`(\l
`
`.
`
`a
`
`c:
`.9..
`8‘co
`
`0 Et
`
`oO
`
`)
`
`E‘
`
`“
`15
`(D
`1:
`2
`3
`2
`3:
`;
`\-
`95
`°
`E
`N
`3
`cuI
`
`O x
`
` 4
`
`O
`
`3‘~"2¥:5‘°—°°-
`I
`n
`1
`‘?'
`‘F’
`(saeJ5ep)1es;;o aseqd
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 25 of 121 PageID #: 520
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 25 of 121 PagelD #: 520
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 23 of 84
`
`US 7,124,646 B2
`
`
` 2210
`
`
`Every 10,000 Cycles:
`Check Slope of A1
`
`2215
`
`Every Cycle: Calculate 11,33. Ims.
`Iwc.
`I1NC: 12Ps» I2Ns» 3Um1s»
`RatlO1S: sumqc. sumgs
`
`2205
`
`2200
`
`F|G.22
`
`Generate Average
`
`Values
`
`2220
`
`Estimate Zero Offset
`
`8 Gain Mismatch
`
`
`
`
`
`Y
`
`
`
`
`
`' Calculate l<.
`
`amp_factor
`
`Estimate Amplitudes
`
`
`
`Improve Estimate
`
`Adjust Raw Data
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 26 of 121 PageID #: 521
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 26 of 121 Page|D #: 521
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 24 of 84
`
`US 7,124,646 B2
`
`9OQ
`
`V‘
`
`8
`on
`
`%8
`<0 N
`
`O
`.
`9 Q
`LI.
`
`o
`C
`01
`
`G
`
`
`
`m
`
`0 9
`
`2
`<0
`5
`C’.
`i’
`E
`8'?
`7‘
`8
`8
`O
`II
`C
`(B
`(D
`
`-
`" ->-
`E
`CF
`71-
`cu o L}:
`<1‘
`to
`c?
`2 sfiugsson 0132 9/\— uo paseqeseqd
`
`_
`—‘»
`__;:-?,.=,’
`—e 1
`-
`
`—
`
`’
`
`—-—=;'
`—
`
`'
`
`_
`
`A
`
`__
`
`‘
`
`4%
`
`_.
`
`°°
`g
`:\
`5
`0.
`O
`N
`E
`v-
`'”.
`‘#
`'\
`F6
`8
`<2:
`‘I’
`u
`
`4-“*9”
`'
`V,-~>———_-:—‘
`—- “’
`"*
`"
`’
`'
`_ :2 7-
`___~_
`E
`*
`-—~-—
`mg
`T-
`<9
`st
`=.v
`c»
`o
`5 «
`sfiugsson 0192 am uo pesszq asuqd
`
`§
`1-
`
`8
`°°
`
`
`
`§
`F
`
`C,
`g
`
`U
`8 0'3
`‘°
`(‘\l
`
`.
`3
`S: Q
`"
`LI.
`
`8
`N
`
`o
`
`(D
`s
`‘.2
`5
`0.
`O
`II
`8 < E
`co
`‘*3 pr)
`"’_
`N 8
`1--
`3
`. 5
`3
`‘ U -8 1
`0-
`°u__ '
`8
`"
`C
`53
`-'
`V
`o "? E
`<9
`1'
`° 2“
`N
`v
`9 w
`sepfio pa/xeauexug uo paseq aseud
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 27 of 121 PageID #: 522
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 27 of 121 Page|D #: 522
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 25 of 84
`
`US 7,124,646 B2
`
`0
`
`Ln
`
`‘
`U
`._
`LL.
`
`v
`
`7;
`5-
`3
`‘.9 .5
`:1)
`.§
`
`N
`
`T
`
`‘Q0
`OJ
`'
`
`"
`
`3
`3
`8
`°°
`o
`o
`o
`8
`.
`o
`o
`C:
`o’
`(seejfiep) uoueg/xap p.Iepue1s
`
`co
`
`.
`
`""’ U
`"
`LL.
`
`V
`
`E
`:3
`°
`m 5
`E
`--
`
`N
`
`F
`
`o
`
`O
`
`'
`
`c’
`.
`
`I
`
`4-'
`'
`(seamen) 199140 8-seud
`
`C .
`
`9
`T5
`4*
`oL)
`Eas
`U)
`
`E
`(U
`as
`3:2
`o
`:9.
`
`E&
`1:
`oL-
`as
`
`2:
`(D
`cu_C
`0.
`
`C"I
`o
`
`xnn
`0'
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 28 of 121 PageID #: 523
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 28 of 121 PagelD #: 523
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 26 of 84
`
`US 7,124,646 B2
`
`Cycle n
`4-—————————>
`
`Cycle n—l
`
`Cycle n+1
`
`
`
`i
`
`-1:/co
`
`O
`
`1:/co
`
`211:/co
`
`3n/0)
`
`Time(s)
`
`F|G.25
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 29 of 121 PageID #: 524
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 29 of 121 Page|D #: 524
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 27 of 84
`
`US 7,124,646 B2
`
`2600
`
`/V
`
`Produce Frequency
`
`Estimate
`
`
`
`Estimate Amplitude ,
`& Phase
`2
`
`Calculate Phase
`
`Difference
`
`
`
`2505
`
`
`
`2610
`
`
`
`2615
`
`2620
`
`
`
`2625
`
`Determine Amplitude 1
`Rate of Change
`
`
`
`
`2630
`
`Correct
`Frequency
`
`Compensate
`Phase
`
`
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 30 of 121 PageID #: 525
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 30 of 121 Page|D #: 525
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 28 of 84
`
`US 7,124,646 B2
`
`
`
`1:”;.4_. mo
`
`<nN.u_No-8om2..maS+$o:;.ms
`
`mv_mumzz.
`
`omomowom4omor
`
`owom.omo_;
`
`No
`
`are
`
`mew
`
`owe
`
`«No_>m
`
`
`.mo:»:a2<
`
`mwoA>V
`
`new
`
`
`
`1>ozm:omm1
`
`mewF>m
`
`
`
`_v.FwANT:
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 31 of 121 PageID #: 526625
`aC
`
`mm
`
`Ms”%U
`
`
`
`_omH.r>wmmNomPmo-oo8m$w2-omN$o.m5
`
`
`
`GM~,,Dm..H_woQ5>ozm5omER__.>><mwtAFo4<:n__mmm
`
`mmD6WMmam.0:w.maE_>_:
`27,8omowonom2fS2.0.,mUrob
`
`1..<wNOEQmsi%888onom2.
`
`m.3ateWwNoHmm.~o-28E.ma3-9329_,5
`.mM__.N3|
`ac......n..m._MoE;
`.n:>_<mo“.3M8ozofiommmooM.mwe.m<m_s_
`
`
`
`..m<>
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 32 of 121 PageID #: 527725
`aC
`2
`
`9tmmnutVacP
`
`%U
`
`
`
`u.No-mmoom$a5+8o:;.w5
`
`MW
`
`@ms_:.m68om3oncm3nm...e2m4,C2mm
`Fs.8-83am.ES+mmo::.w5M<®Nmv_n_
`G0E:
`R>ozm:om_Ew.>><m_>m
`
`H,mD6E4w6,
`
`4CWH@m_s_:m.7,88Sonom8
`
`Nm
`
`30Em.mElm
`
`>ozm:omE34.omeommmoommQ13
`
`
`
`
`3£3W_E:
`Pin.m<>¢_>_<mom
`
`

`
`%U
`
`mm
`
`MMQ5mP%mS_~o-om£o$”w
`S+$o:;.m5
`
`HmmD6wMmom.0:m4,EH2:An,8on388255
`
`,mm2.5
`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 33 of 121 PageID #: 528
`8C
`3
`0025
`
`C2OLDC
`
`G0HVSE:m.>ozm5omE
`>><m%tmewm_o<mm><
`
` S+omo::.m..=M<om.UEamz:mM883onom.2n0__mH,05
`
`
`>ozm5omE.><mM,5»;Wmminmm.ElmHmmmo-83.oI...w
`MW35..w.¢.$E:m<>n=>_<PmomomfiommmooB43.5
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 34 of 121 PageID #: 529
`aC
`M
`925
`g
`
`U4.,
`
`nm
`
`1..<—mDE$m__>_:%mm89.88onmmom22mt6__.3%
`
`
`
`wm«EmHmm8-mo8:..ow_o$8m8.3.
`
`m28.3
`
`“FmD6e4.m.MEmDE@m_>_:Ammcm:38.%mmo.o,.;mN._om2:9Tm1..
`,mm83
`
`m.n
`
`e83
`
`
`m3.:
`
`3<3.m<>¢_>_<momaM>ozm5om_E.><m.m.:3
`
`%U
`
`mm
`
`1..
`
`
`
`0m8.3Wa2P~o-m5:m.mm_o+mmm%m.m5
`
`
`
`o_J3.2
`
`G>><mmo<mm><m.$8
`mm8.3Dm3Enfix?/ozm:omE
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 35 of 121 PageID #: 530O35
`3
`m
`
`Wmn%..MmM,
`
`119H7fS
`
`mU3.3
`
`my.
`>ozm:omm¢mM3.5omhommmoo
`m.am_\wANT:
`
`mU
`
`m.m
`
`m.3mm
`
`W
`
`
`
`Hs.mo-£t§.ma5+momm2.msMmluwmmOE$m__>_:
`0e_Mmm3%M.m..._aS.No-58¢3S+mo§2as
`m6om8omomEmm2.5mu.,mew
`Dm%85ANG.mewE>ozm5omEm.mw<mm><>><mwt8E7H__.
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 36 of 121 PageID #: 531
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 36 of 121 Page|D #: 531
`
`S
`
`4|.
`
`0
`
`0m
`
`e
`
`2B6M
`
`6m
`
`4,mo-om%mm.Naoo-m85~.§m-E2.8am__>_:
`
`.aomow8om9<mmDE
`
`
`
`a.Pmeo.mo..£_:2.mmvo-$~Rm.m5
`
`m_m<:n_M122¢r>meEd
`
`oammmomov
`
`8.9-
`
`1.oammmomo.
`
`
`
`.m<>.n:>_<mom
`
`zofiommmoo
`
`M_m-
`
`
`
`4......50.088.38:.3_a-m$imas
`
`
`
`.momowamzfiom2M8onmmm.U_u_
`
`_.so
`
`7,SoSmood-Uo
`mum»,DE
`
`
`
`.ammmomemm..<:n_
`
`
`
`.m8.o.omeommmoo
`
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 37 of 121 PageID #: 532
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 37 of 121 Page|D #: 532
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 35 of 84
`
`US 7,124,646 B2
`
`
`
`_o-o%t©:w5-m..%8m.§
`
`.888onom24<¢.mDE
`am_>_:
`
`o
`
`Nd
`
`toAmmmawme
`
`mozm_mm_&_o
`
`883omomSAo
`@m_>_:mzum.U_u_
`
`
`1No
`
`
`
`©.o...._n__Dm_m<:n_
`
`momomfiommmoo
`
`1ammmwme
`
`we.m<>.n:>_<
`
`
`
`S-mmo.3Vo.NaS-mmm8m.¢5
`
`—.
`
`
`
` ..3mm<_._n_>><m‘w.o
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 38 of 121 PageID #: 533
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 38 of 121 Page|D #: 533
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 36 of 84
`
`US 7,124,646 B2
`
`<
`Ln
`m
`
`0
`
`I
`
`_
`
`ono
`
`oV‘
`
`Cu
`o
`I
`u:
`L‘?
`:5
`*'.
`"tn
`W‘?
`cu
`‘.: |
`5’: E8
`3
`<r
`l\
`ch
`CO
`-'
`3
`
`oN
`
`o.-
`
`__
`
`_
`
`
`
`°"
`C,’
`G,
`9,,
`<0
`3'3
`"-
`E
`In
`T
`8
`‘’
`O
`W
`".
`‘)1
`5
`
`-LOOLr)v-
`0.0 O0
`<30.
`0.0
`0
`cl):
`aseud ienmsaa ms
`
`C0
`L0
`M
`
`Q.
`
`I-1-
`
`U
`Ln
`on
`
`Q
`
`Ll.
`
`to
`o
`I
`an
`3
`2
`"3.
`9,'-‘-
`<1:
`'.=
`E
`
`u:9.50094e—O4s
`
`3
`03
`o-
`E
`
`C\.I«-O‘-N
`0.0.
`0.0.
`oo
`oo
`
`ue/\ 'dUJV Jo;pe1:>euoo aseud
`
`c*)C\.lv-Ov-C\l<"')
`0.0.9.
`00.9
`ooo
`ooo
`lll
`‘dL_uvJo;uog10eu0:)
`
`-12
`
`/\
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 39 of 121 PageID #: 534
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 39 of 121 Page|D #: 534
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 37 of 84
`
`US 7,124,646 B2
`
`OLLI
`«om
`
`.
`
`—
`U-
`
`0L0
`
`6V
`
`A
`ii
`Q)C
`ME
`‘—
`
`20
`
`10
`
`I
`._.
`oococrmmm
`:.rr(")C'JC')c')<r_N
`
`o'<r<r<r<rc,<r_0
`oooo
`
`L0?
`C\lO.l
`<r<r.CC)
`(saaxfiap) ‘J2/\ ‘dun; Jo; peloeuoo ma aseqd
`
`C’)
`?
`CD
`93
`0)
`o
`<2
`~
`‘E;
`8
`3,,
`8
`on
`.-
`"3.
`9'.
`3
`
`D
`
`O U
`
`_
`L.L..
`
`,.
`3;
`‘D
`E
`'-=
`
`(‘J
`<?
`‘D
`O
`°'
`"'
`N
`0!
`9!
`an
`"
`cu
`‘?
`~
`‘3
`3
`cq
`$7:
`3
`
`co
`7
`co
`co
`C’?
`V.
`‘K
`"1
`"1
`G
`Q
`D
`G
`O
`(seeufiep) aoueJa;,uQ aseqd pa1:>aJJo:>un
`
`V!‘
`o"
`
`7
`
`

`
`6S.%U
`
`
`
`n/__W1.om_o:seao:_=:_mops..26:oz
`
`C20LooomDC
`
`
`
`
`
`1..moonT8909.9tW%H._mut_M.,5.9
`
`O83
`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 40 of 121 PageID #: 535535
`aC
`4.
`P3
`m
`
`m0em
`
`dtE
`
`1fB0100
`
`m4,3.;
`
`FSc
`
`5Sam._.26_«So
`
`O382..
`
`MM..8.o-
`
`gMa.,.8o.o-
`
`(seenfiap) aouejamq aseud
`
`“WmD6.wM<30:
`.35.a4:888889P24!in11Ed:27.,V.1M83..oaommWZ.H._0_.5On_
`
`,mS.M._..$3M8-88.~”8.m.B-mE_t
`too
`
`
`
`
`,.....OU.._h.w§..t8-24.31W§5£..N._83.-4..sax.
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 41 of 121 PageID #: 536
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 41 of 121 Page|D #: 536
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 39 of 84
`
`US 7,124,646 B2
`
`C)
`
`0
`
`§
`
`§
`
`o:
`
`9 CD
`
`0
`
`L3
`L1.
`
`oL
`
`O
`
`0
`—i<f'
`
`A
`E’,
`O G,
`‘c-=.§
`..
`
`o
`N
`
`- _
`O
`
`0530No:
`V
`.
`*.‘5?«'7
`,_‘...
`m<'=‘<v>V'
`oO:‘o »
`I,—,|»
`I
`an-Amer
`‘.238
`<D°Q-_
`q-CDv-
`
`U &
`02%
`_
`8.8
`‘5'‘.?.u.._
`~'§-°=-“:='
`x°_§-=10.
`_L_|,-J’-:C)
`
`§
`
`.-
`
`(I)
`o
`"-‘
`
`(V
`D
`°
`
`E
`
`‘'
`v-
`0.
`O_
`‘T’
`C’
`(semfiap) aoumamg aseqd
`
`(V
`0
`‘?
`
`C’)
`O.
`‘?
`
`V
`5’
`‘I’
`
`In
`°
`C.’
`
`._.
`
`::
`)
`c:.
`ED
`Q._
`=
`.2
`3
`D
`D..
`
`oV
`
`E2.
`
`_0Z
`
`8
`°
`
`V
`o
`°
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 42 of 121 PageID #: 537
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 42 of 121 Page|D #: 537
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 40 of 84
`
`US 7,124,646 B2
`
`3600
`
`3610
`
`oI
`
`n KC
`
`.
`
`,, U<r 1
`Ll.
`
`o<
`
`1-
`
`Inm
`
`o
`0')
`
`N
`
`8
`
`m.-
`
`0
`'-
`
`In
`
`A
`£1
`E’
`
`‘
`_'
`
`ocn<Do
`‘.2.-,pl\g;
`“mic
`EE<,.N,..
`
`co
`Q???
`mggg
`gm’-Om
`<u"t'\-"
`U'."“°N
`
`'0"
`U)
`mg
`«=3
`25“u"-'-
`ten."
`:1
`o.§5
`LL}—U
`
`8
`.93.
`‘E5
`'3
`
`E
`|.l.|
`
`co
`o
`o
`
`m
`Q
`c:
`
`<:-
`o
`o
`
`0':
`o
`o
`
`cu
`o_
`o
`o
`(saazfiap) aouaxamg aseud
`
`o
`
`9
`
`8
`cl:
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 43 of 121 PageID #: 538
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 43 of 121 Page|D #: 538
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 41 of 84
`
`US 7,124,646 B2
`
`Cv-
`(D
`C’)
`
`60
`
`FIG.36D
`
`_c2:
`
`1.?
`J 3
`...
`8:
`
`_8
`
`0
`.-
`
`0°30!
`.=‘7‘F8
`M“-32*-_o_
`I:<o.-
`NNG)
`??°.’
`.._rI.Ja'%.$a'§
`g<:>|\c>
`n-:°=!"'“*.
`fl:L\l""<\l
`
`BE“5
`go
`5:“‘cm.’
`SE5Ll.|—O
`
`
`
`co
`‘T
`o
`
`co
`V
`:>
`
`
`
`"Z
`"-'2
`o
`o
`(semfiep) e:>ueueg:_q eseqd
`
`<r
`c
`
`no
`"2
`o
`
`(0
`"3
`o
`
`_
`
`2cu
`"
`2
`:-
`3
`
`_
`
`In
`o
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 44 of 121 PageID #: 539
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 44 of 121 Page|D #: 539
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 42 of 84
`
`US 7,124,646 B2
`
`no 0 0
`§ § E2
`
`l.|.|
`go
`(‘'5
`
`9L
`
`L
`
`E
`E
`
`§
`E
`E’
`
`Rafi
`
`FlawSD
`
`(searfiap) aouaxaggq eseud
`
`*0
`‘H080°.
`__a>.—
`._
`U3Q)?I\
`
`‘T.-61356-02Corr.Fourier:6.457e-03
`
`
`Time-based:
`
`Fourier
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 45 of 121 PageID #: 540
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 45 of 121 Page|D #: 540
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 43 of 84
`
`US 7,124,646 B2
`
`3
`(D
`CO
`
`8
`(O
`CO
`
`2
`CO
`CO
`
`3 L1.
`
`O0
`
`"}
`
`E
`
`OI-O
`
`2
`
`E
`8%’
`-
`
`c:CV
`
`9
`
`§§
`<6 "
`
`$7?05 a:
`§§"§
`('5 In
`
`2.5V, _
`5?»?
`E,
`"2’ E
`u. i: 0
`
`L0
`1-
`
`-
`
`to
`d
`
`-3
`
`L
`
`“
`
`L9
`V
`
`V’
`
`tn
`C’)
`
`co
`
`u.n_
`(\.I
`(sealfiap) aouammq eseqd
`
`W
`
`5,
`0.O
`C
`.9
`:3
`'9O
`s
`
`0 5
`
`E
`E(B
`3’
`:9E
`
`5-?’
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 46 of 121 PageID #: 541
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 46 of 121 Page|D #: 541
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 44 of 84
`
`US 7,124,646 B2
`
`§ §
`to
`no
`
`O
`5
`‘'3
`
`.5
`1:
`9-9
`—
`3
`3"
`.2
`§
`
`° 0
`"'60 G
`P’)
`
`E
`
`'13
`
`3
`
`'
`
`o
`
`-
`fr
`°°-S
`
`JoO]
`
`§§§§('3
`
`v—
`
`0%???»
`wgsg
`5°C):-
`:u°’.°’-‘°
`lIO7‘nC\I
`
`‘I.-
`
`‘V o
`...cl_L2|
`‘5 “’ 5
`£58
`
`‘
`".
`O
`
`‘Q
`O
`
`‘_
`“".
`C
`
`H N.
`"2
`O
`(sae16ep)aoue1emg aseud
`
`<‘!
`O
`
`5
`
`r
`
`'1
`Q
`
`I
`O
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 47 of 121 PageID #: 542
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 47 of 121 Page|D #: 542
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 45 of 84
`
`US 7,124,646 B2
`
`LO
`C)
`(D
`0')
`
`
`
`Lowflow,highaeration
`
`time-(s)
`
`Time-bas=d:1.527e-011084Corr.
`
`
`Fourizr:1.409e—011.000
`
`
`
`
`
`
`
`,:Hawso3Ratio;_.Fourier:1.803e-011.280:’
`
` H
`
`O
`(saeufiap) aouexeggg aseqd
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 48 of 121 PageID #: 543
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 48 of 121 Page|D #: 543
`
`U.S. Patent
`
`9
`Oct. 24 2006
`
`Sheet 46 of 84
`
`9
`9
`US 7 124 646 B2
`
`2
`
`3
`
`2
`
`7,: E
`B’ m
`S’: E
`7-
`o
`
`O
`_
`Ll.
`
`afié. §
`l'.E:’q-5 <1’
`.—
`
`5 .7: e
`«'= :3 E
`is :
`?9:"- :95
`
`E
`.5 § 3.
`3
`:
`:2 -E 8
`
`Q0|
`
`3
`'
`
`§
`(.0
`
`O
`8
`co
`
`0
`5
`co
`
`r‘
`
`1
`
`I:
`.9
`
`5 3
`
`E
`-
`3
`2
`
`E
`.9’
`I
`
`4..
`
`as
`C’)
`
`m
`
`N
`
`6!
`<r.
`co.
`N
`N
`N
`(saeJ5ap) aouaxaygg aseud
`
`V N
`
`my
`1-
`
`<0.
`P
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 49 of 121 PageID #: 544
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 49 of 121 Page|D #: 544
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 47 of 84
`
`US 7,124,646 B2
`
`§ 5
`
`no
`
`‘'7
`
`O(D
`
`0LO
`
`CV
`
`,.
`‘“
`1_-.._ of
`gr) E 3
`‘.7-
`.
`0
`
`L‘
`
`}_§;» g o
`ESQS
`
`Q § E §
`Wfigfl
`£39?
`.m co ‘Q :-
`
`32
`.5 5 3
`2 E E
`"H.130
`
`.3
`"
`
`(‘O
`
`N
`
`(saaufiap) aauawap,-ya aseud
`
`§
`
`co
`
`E
`.9
`
`5 3
`
`5
`-5-
`g
`
`2 2
`
`.9
`I
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 50 of 121 PageID #: 545
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 50 of 121 Page|D #: 545
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 48 of 84
`
`US 7,124,646 B2
`
`LO
`
`.
`
`O _.
`L0 U.
`
`‘<5’
`
`-13
`
`43
`
`n-
`U}
`J8:
`2
`
`tn
`(V
`
`3
`
`w
`'
`
`C
`F
`
`LD
`
`o<\1|\c>
`-—
`Ln
`8398
`m_—_
`G93
`0G9
`0333
`"538
`§fiQQ
`my--—
`
`8.5.3mg
`.__S°
`L
`h-
`2 5”-
`3.§5
`u.|—O
`
`01
`
`‘If
`
`(D
`
`®
`
`(saemep) eaueueugg aseud
`
`3605
`
`3600
`
`3610
`
`C 2
`
`‘aC
`(U....
`E
`O
`=
`9
`
`E .
`
`II E
`
`E
`UJ.
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 51 of 121 PageID #: 546
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 51 of 121 Page|D #: 546
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 49 of 84
`
`US 7,124,646 B2
`
`0':In
`C’..- 1020 1.000
`
`.:5.841e-01
`
`Time—’based25.655e-01Corr
`
`Founer5546e—01
`
`time(s)
`
`FIG.36L
`
`.9._-
`
`mI R
`
`awSD
`
`
`
`
`
`Highflow-emptytransition
`
`3605
`
`3600
`
`3610
`
`(see16ep) aoue.ua;;gq aseqd
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 52 of 121 PageID #: 547
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 52 of 121 Page|D #: 547
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 50 of 84
`
`US 7,124,646 B2
`
`4
`
`4
`
`-
`
`J
`
`-1
`
`100
`
`140
`120
`FIG. 37A
`
`60 _
`
`time 5
`
`() 80
`
`0.35
`
`0.3
`
`,
`
`P
`
`5
`
`$0.25
`
`_'
`
`_
`
`‘
`
`.
`
`'
`
`‘
`
`‘
`
`20
`
`40
`
`02
`
`3 §
`
`?§
`
`9?,C
`O.)
`m 0.15
`
`0.1
`
`0050
`
`0.04
`
`F3o'1.
`
`
`
`rawphase(degrees) 5':8o
`
`20
`
`40
`
`60
`
`time(s)
`
`8b
`
`100
`
`120
`
`140
`
`FIG. 37B
`
`rawfreq(Hz)
`
`9';2’9knho‘co
`
`(3
`
`IO(3
`
`40
`
`6'0
`
`30
`
`160
`
`126
`140
`FIG. 37C
`
`“mew
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 53 of 121 PageID #: 548
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 53 of 121 Page|D #: 548
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 51 of 84
`
`US 7,124,646 B2
`
`0
`
`OL.»
`
`Difl.olSVrateofchange
`
`—
`
`.1
`0 O
`
`20
`
`40
`
`60
`
`80
`
`100
`
`“"‘°‘S’
`
`140
`120
`FIG 37D
`
`
`
`_
`100
`
`I
`120
`
`140
`
`FIG. 37E
`
`0
`
`V
`20
`
`t
`40
`
`60
`
`80
`
`time(s)
`
`0.:
`U)
`
`C(
`
`USU
`
`‘5
`
`2‘
`
`E>(
`
`/3
`‘E:
`E.2|
`U)
`
`

`
`Case 6:12-cv-00799-JRG Document 25-1 Filed 01/31/13 Page 54 of 121 PageID #: 549
`Case 6:12—cv—OO799—JRG Document 25-1 Filed 01/31/13 Page 54 of 121 Page|D #: 549
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 52 of 84
`
`US 7,124,646 B2
`
`82.2
`
`mean = 81.9542. std = 0.0173229
`
`A821
`N
`‘<5
`{E 82
`E
`4-’ 81.9
`
`3E
`
`I
`I
`
`f‘
`
`4-“
`
`_E
`
`81.781.8
`
`0
`
`20
`
`40
`
`so
`
`so _
`"’“‘*‘5’
`
`100
`
`120
`140
`FIG 38A
`
`Mean value = 000142852. std = 000522301
`. .
`
`
`0.04
`
`2:
`
`__,__.
`
`ON
`
`
`rawphase(degrees)'o
` 0.02
`
`0 D40
`