`Declaration ISO Inter Partes Review
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`UNITED STATES PATENT AND TRADEMARK OFFICE
`______________________________________________
`
`BEFORE THE PATENT TRIAL AND APPEAL BOARD
`______________________________________________
`
`
`
`
`Uber Technologies Inc.,
`Petitioner
`
`v.
`
`LBT IP II LLC,
`Patent Owner.
`
`
`
`
`DECLARATION OF SCOTT ANDREWS IN SUPPORT OF
`PETITION FOR INTER PARTES REVIEW
`OF U.S. PATENT NO. 7,598,855
`
`
`
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`
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`Petitioner Uber Ex-1002, 0001
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`TABLE OF CONTENTS
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`Page
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`
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`INTRODUCTION .......................................................................................... 1
`I.
`BACKGROUND AND QUALIFICATIONS ................................................ 1
`II.
`INFORMATION CONSIDERED .................................................................. 6
`III.
`IV. RELEVANT LEGAL STANDARDS ............................................................ 7
`A.
`Claim Interpretation ............................................................................. 7
`B.
`Perspective of One of Ordinary Skill in the Art ................................... 7
`C.
`Obviousness .......................................................................................... 8
`LEVEL OF ORDINARY SKILL IN THE ART .......................................... 11
`V.
`VI. PRIORITY DATE ........................................................................................ 11
`VII. CLAIM CONSTRUCTION ......................................................................... 11
`VIII. SUMMARY OF OPINIONS ........................................................................ 11
`IX. TECHNOLOGY BACKGROUND .............................................................. 12
`A. Geolocation Generally ........................................................................ 13
`B.
`Global Positioning System (GPS) ...................................................... 16
`C.
`Assisted GPS ...................................................................................... 21
`D.
`Cellular/Base Station Positioning ...................................................... 24
`E.
`Positioning Based on Nearby Devices ............................................... 30
`F.
`Tracking and Tracking Devices ......................................................... 31
`G.
`Processors and Controllers ................................................................. 32
`THE CHALLENGED PATENT .................................................................. 36
`X.
`XI. PATENT PROSECUTION HISTORY ........................................................ 38
`XII. BRIEF DESCRIPTION OF THE APPLIED PRIOR ART
`REFERENCES ............................................................................................. 39
`A. Hashimoto (Ex-1005) ......................................................................... 39
`B.
`Hockley (Ex-1006) ............................................................................. 44
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`i
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`Petitioner Uber Ex-1002, 0002
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`TABLE OF CONTENTS
`(continued)
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`Page
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`Luccketti (Ex-1007) ........................................................................... 45
`C.
`D. Mohi (Ex-1008) .................................................................................. 48
`XIII. DETAILED EXPLANATION OF THE UNPATENTABILITY
`GROUNDS ................................................................................................... 49
`A. Ground 1: Claim 11 is rendered obvious by Hashimoto in view
`of Hockley. ......................................................................................... 49
`1.
`A POSITA would be motivated to combine the teachings
`of Hashimoto and Hockley, and would have a reasonable
`expectation of success in doing so. .......................................... 49
`Independent claim 11 ............................................................... 54
`2.
`Ground 2: Claims 12-14 are rendered obvious by Hashimoto
`and Hockley in further view of Luccketti .......................................... 87
`1.
`A POSITA would be motivated to combine the teachings
`of Luccketti with the teachings of Hashimoto and
`Hockley, and would have a reasonable expectation of
`success in doing so. .................................................................. 87
`Dependent claims 12-14 .......................................................... 92
`2.
`Ground 3: Claims 15-16 are rendered obvious by Hashimoto
`and Hockley in further view of Mohi. .............................................. 106
`1.
`A POSITA would be motivated to combine the teachings
`of Mohi with the teachings of Hashimoto and Hockley,
`and would have a reasonable expectation of success in
`doing so. ................................................................................. 106
`Dependent claims 15-16 ........................................................ 109
`2.
`XIV. CONCLUSION ........................................................................................... 114
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`B.
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`C.
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`ii
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`Petitioner Uber Ex-1002, 0003
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`U.S. Patent No. 7,598,855
`Declaration ISO for Inter Partes Review
`LIST OF EXHIBITS1
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`Ex-1001 U.S. Patent No. 7,598,855
`Ex-1002 Declaration of Mr. Scott Andrews
`Ex-1003 Curriculum Vitae of Mr. Scott Andrews
`Ex-1004 Prosecution History of U.S. Patent No. 8,784,855
`Ex-1005 U.S. Patent No. 6,999,779 (“Hashimoto”)
`Ex-1006 U.S. Published Patent Application No. 2004/0008138(“Hockley”)
`Ex-1007 U.S. Published Patent Application No. 2003/0151506 (“Luccketti”)
`Ex-1008 U.S. Published Patent Application No. 2003/0195008 (“Mohi”)
`Ex-1009
`[INTENTIONALLY LEFT BLANK]
`Ex-1010
`[INTENTIONALLY LEFT BLANK]
`Ex-1011
`[INTENTIONALLY LEFT BLANK]
`Ex-1012
`[INTENTIONALLY LEFT BLANK]
`Ex-1013
`[INTENTIONALLY LEFT BLANK]
`Ex-1014
`[INTENTIONALLY LEFT BLANK]
`Ex-1015
`[INTENTIONALLY LEFT BLANK]
`Ex-1016
`[INTENTIONALLY LEFT BLANK]
`Ex-1017
`[INTENTIONALLY LEFT BLANK]
`Ex-1018
`[INTENTIONALLY LEFT BLANK]
`Ex-1019
`[INTENTIONALLY LEFT BLANK]
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`1 Four-digit pin citations that begin with 0 are to the page stamps added by Uber in
`the bottom right corner of the exhibits. All other pin citations are to original page,
`column, paragraph, and/or line numbers.
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`iii
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`Petitioner Uber Ex-1002, 0004
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`U.S. Patent No. 7,598,855
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`[INTENTIONALLY LEFT BLANK]
`Ex-1020
`Ex-1021 Petitioner’s Stipulation Letter to Patent Owner, dated April 15, 2022
`Ex-1022 Plaintiff’s Preliminary Infringement Contentions, dated February 18,
`2022, including Claim Chart for ’855 Patent (“Infringement
`Contentions”)
`[INTENTIONALLY LEFT BLANK]
`Ex-1023
`[INTENTIONALLY LEFT BLANK]
`Ex-1024
`[INTENTIONALLY LEFT BLANK]
`Ex-1025
`[INTENTIONALLY LEFT BLANK]
`Ex-1026
`[INTENTIONALLY LEFT BLANK]
`Ex-1027
`[INTENTIONALLY LEFT BLANK]
`Ex-1028
`Ex-1029 Yilin Zhao, Vehicle Location and Navigation Systems (1997)
`Ex-1030 U.S. Patent No. 6,901,260 (“Xin”)
`Ex-1031 U.S. Patent No. 5,592,173 (“Lau”)
`Ex-1032 U.S. Patent No. 6,748,224 (“Chen”)
`Ex-1033 U.S. Patent No. 6,889,053 (“Chang”)
`Ex-1034 The History of Computing, Abacus Explained — Everything You
`Need To Know (2021)
`Ex-1035 Alan M. Turing, On Computable Numbers, With An Application to
`the Entscheidungsproblem (1936)
`Ex-1036 The History of Computing, John von Neumann – Biography, History
`and Inventions (2021)
`Intel, The Story of Intel
`(https://www.intel.com/content/www/us/en/history/museum-story-
`of-intel-4004.html (Accessed 4/13/2022)
`Ex-1038 Christopher Evans, The Micro Millennium (1979) (Excerpted)
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`Ex-1037
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`Petitioner Uber Ex-1002, 0005
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`U.S. Patent No. 7,598,855
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`Ex-1039 Datamath Calculator Museum, Intel and TI: Microprocessors and
`Microcontrollers (2001)
`Judge Albright’s Standing Order Governing Proceedings Patent
`Cases
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`Ex-1040
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`Petitioner Uber Ex-1002, 0006
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`U.S. Patent No. 7,598,855
`Declaration ISO for Inter Partes Review
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`I.
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`INTRODUCTION
`1.
`I have been retained by Uber Technologies, Inc. (“Petitioner”) as an
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`independent expert consultant in this inter partes review (“IPR”) proceeding before
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`the United States Patent and Trademark Office (“PTO”).
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`2.
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`I have been asked by Uber’s Counsel (“Counsel”) to consider whether
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`certain references disclose, teach, and/or suggest the features recited in Claims 11-
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`16 of U.S. Patent No. 7,598,855 (“the ’855 Patent”) (Ex-1001).
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`3.
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`I am being compensated at my ordinary and customary consulting rate
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`for my work, which is $500 per hour. My compensation is in no way contingent on
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`the nature of my findings, the presentation of my findings in testimony, or the
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`outcome of this or any other proceeding. I have no other financial interest in this
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`proceeding.
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`II. BACKGROUND AND QUALIFICATIONS
`4.
`All of my opinions stated in this Declaration are based on my own
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`personal knowledge and professional judgment. In forming my opinions, I have
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`relied on my knowledge and experience in designing, developing, researching, and
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`teaching the technology referenced in this Declaration.
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`5.
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`I am over 18 years of age and, if I am called upon to do so, I would be
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`competent to testify as to the matters set forth herein. I understand that a copy of
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`my current curriculum vitae, which details my education and professional and
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`academic experience, is being submitted as Ex-1003. The following provides a
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`brief overview of some of my experience that is relevant to the matters set forth in
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`this Declaration.
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`6.
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`I have summarized in this section my educational background, career
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`history, and other qualifications relevant to this matter. I have also included a
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`current version of my curriculum vitae, attached as Ex-1003.
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`7.
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`I have over 30 years of professional experience in the field of mobile
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`devices and technologies and systems, including handheld communications and
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`navigation devices, vehicle information systems and vehicle safety and control
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`systems, and the sensor systems that are used in these devices. Further, I have
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`authored numerous published technical papers and am a named inventor on 13
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`U.S. and foreign patents.
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`8.
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`I received a Bachelor of Science degree in Electrical Engineering
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`from University of California, Irvine in 1977 and a Master of Science degree in
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`Electronic Engineering from Stanford University in 1982.
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`9.
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`From 1977 to 1979, I worked at Ford Aerospace where I designed,
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`tested and delivered microwave radar receiver systems.
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`10. From 1979 to 1983, I worked at Teledyne Microwave, where I
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`developed high reliability microwave components and developed CAD tools.
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`11. From 1983 to 1996, I worked at TRW, Inc., having held various
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`positions. From 1983 to 1985, I was a Member of the technical staff and a
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`Department Manager in the Space Electronics sector. Between 1985 and 1990 I
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`was a project manager working on various communications systems projects
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`including the US DoD Advanced Research Projects Administration (ARPA)
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`MIMIC Program. Between 1990 and 1993 I was the Manager of MMIC
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`(monolithic-microwave-integrated-circuit) Products Organization. In this role, I
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`developed business strategy and managed customer and R&D programs. During
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`this time, I also developed the first single chip 94 GHz Radar, used for automotive
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`cruise control and anti-collision systems. In 1993, I transferred to the TRW
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`Automotive Electronics Group, and managed about 30 engineers in the Systems
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`Engineering and Advanced Product Development organization. In this role, I
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`managed advanced development programs such as automotive radar, adaptive
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`cruise control, occupant sensing, automatic crash notification systems, in-vehicle
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`information systems, and other emerging transportation products.
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`12. During this time, I also worked with various types of location
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`determining equipment. For example, one system I developed in 1992 used a pager
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`based system that triangulated the user’s position, and then used that position to
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`provide information about and direction to user selected points of interest.
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`13.
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`I was employed as a Project General Manager in the Electronics
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`Division of Toyota Motor Corporation at Toyota headquarters in Toyota City,
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`Japan from April 1996 to around April 2000. In this position, I was responsible for
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`leading the development of vehicle telematics systems, infotainment systems,
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`including on-board and off-board navigation systems, mobile device integration
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`systems, traffic information systems, vehicle communications systems, safety
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`applications, and automated vehicle control systems. At this time global
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`positioning system (GPS) equipment has become inexpensive enough that nearly
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`all of the location based systems we developed relied on GPS to determine the
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`user/vehicle location. In particular, between 1997 and 2000, I was responsible for
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`the development of several vehicle tracking systems in the United States and
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`Europe. These systems used a GPS receiver coupled with a cellular telephone
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`transceiver and a processor to provide the vehicle position and other status
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`information to a monitoring center. In this capacity I met with and reviewed the in-
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`vehicle and back-office systems offered by numerous service providers. All of the
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`systems I reviewed would monitor the status of various vehicle systems and alert
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`service provider operators if, for example, the vehicle had experienced a crash
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`(indicated by an airbag activation) or had been stolen. The operator would then
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`open a voice channel to the vehicle occupants, determine the extent of any
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`assistance required, and dispatch appropriate help (tow truck, paramedics, etc.).
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`These systems also responded to vehicle theft and allowed the operator to perform
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`various vehicle functions such as locking and unlocking doors and performing
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`various vehicle diagnostics. One provider, ATX, had a system that was marketed to
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`high net worth individuals that included a feature wherein a parent could define a
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`geographic boundary on a map using a web browser. This boundary would be used
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`to issue an alert to the parent if their teen driver ventured outside this so-called
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`“geofence”.
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`14. Since late 2001, I have been a consultant for Cogenia Partners, LLC,
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`focusing on systems engineering, business development and technical strategy
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`supporting automotive and information technology. I have been in this position
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`since 2001. Between 2006 and 2010, I served as the chief system architect for the
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`US DOT sponsored Vehicle Infrastructure Integration (VII) program, (later known
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`as “Intellidrive”, and currently referred to as “connected vehicles”. This was a
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`location based system using GPS to determine the position of the vehicle, and a
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`short range radio data system to provide information to the vehicle from the
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`roadside, to collect information from the vehicle, for example for traffic
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`measurement, and to exchange information between vehicles to support various
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`safety applications. As part of this project, I provided extensive background
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`support for the US DOT ITS Joint Program Office about positioning systems and
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`their capabilities and limitations.
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`15. Between 2010 and 2019 I served on various other US DOT Projects
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`associated with connected vehicles. For example, recently I was the technical lead
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`on a project funded by the National Highway Traffic Safety Administration
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`(NHTSA) to develop requirements for connected vehicle safety systems in
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`preparation for NHTSA regulations governing such systems. I also served as a
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`technical consultant on multiple projects sponsored by the Federal Highway
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`Administration (FHWA) related to connected vehicle technology research. In one
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`FHWA project I developed a precision location and timing system that was able to
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`record and report the user vehicle location to an accuracy of about 1 cm and time
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`with an accuracy of about 100 nanoseconds. This system allowed us to track the
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`precise trajectory of a vehicle as it moved through a test facility and supported the
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`accurate characterization of other systems being tested.
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`16.
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`In the various positions mentioned above, I was responsible for
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`research and development projects relating to numerous mobile information
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`systems, navigation systems, user interface systems, sensory systems, control
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`systems and safety systems, and also had the opportunity to collaborate with
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`numerous researchers and suppliers to the auto industry. I therefore believe that I
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`have a detailed understanding of the state of the art during the relevant period, as
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`well as a sound basis for opining how persons of skill in the art at that time would
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`understand the technical issues in this case.
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`III.
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`INFORMATION CONSIDERED
`17.
`In preparation for this Declaration, I have considered the materials
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`discussed in this Declaration, including, for example, the ’855 Patent, the
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`references cited by the ’855 Patent, the prosecution history of the ’855 Patent,
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`various background articles and materials referenced in this Declaration, and the
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`prior art references identified in this Declaration. In addition, my opinions are
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`further based on my education, training, experience, and knowledge in the relevant
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`field.
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`IV. RELEVANT LEGAL STANDARDS
`18.
`I am not an attorney and offer no legal opinions. For the purposes of
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`this Declaration, I have been informed about certain aspects of the law that are
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`relevant to my analysis, as summarized below.
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`A. Claim Interpretation
`19.
`I have been informed and understand that in an IPR proceeding,
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`claims are to be interpreted according to the Phillips claim construction standard. I
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`have been informed and understand that claim construction is a matter of law and
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`that the final claim constructions for this proceeding will be determined by the
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`Patent Trial and Appeal Board (“PTAB”).
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`20. To resolve the particular grounds presented in this Declaration I do
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`not believe any term requires explicit construction.
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`B.
`21.
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`Perspective of One of Ordinary Skill in the Art
`I have been informed and understand that a patent is to be understood
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`from the perspective of a hypothetical “person of ordinary skill in the art”
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`(“POSITA”). Such an individual is considered to possess normal skills and
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`knowledge in a particular technical field (as opposed to being a genius). I
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`understand that in considering what the claims of a patent require, what was known
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`prior to that patent, what a prior art reference discloses, and whether an invention
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`is obvious or not, one must use the perspective of such a POSITA.
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`C. Obviousness
`22.
`I have been informed and understand that a patent claim is obvious
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`under 35 U.S.C. §103, and therefore invalid, if the claimed subject matter, as a
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`whole, would have been obvious to a POSITA as of the priority date of the patent
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`based on one or more prior art references and/or the knowledge of a POSITA.
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`23.
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`I understand that an obviousness analysis must consider (1) the scope
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`and content of the prior art, (2) the differences between the claims and the prior art,
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`(3) the level of ordinary skill in the pertinent art, and (4) secondary considerations,
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`if any, of non-obviousness (such as unexpected results, commercial success, long-
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`felt but unmet need, failure of others, copying by others, and skepticism of
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`experts).
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`24.
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`I understand that a prior art reference may be combined with other
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`references to disclose each element of the invention under 35 U.S.C. §103. I
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`understand that a reference may also be combined with the knowledge of a
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`POSITA, and that this knowledge may be used to combine multiple references. I
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`further understand that a POSITA is presumed to know the relevant prior art. I
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`understand that the obviousness analysis may take into account the inferences and
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`creative steps that a POSITA would employ.
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`25.
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`In determining whether a prior art reference would have been
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`combined with other prior art or other information known to a POSITA, I
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`understand that the following principles may be considered:
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`•
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`•
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`whether the references to be combined involve non-analogous art;
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`whether the references to be combined are in different fields of
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`endeavor than the alleged invention in the Patent;
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`•
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`whether the references to be combined are reasonably pertinent to the
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`problems to which the inventions of the Patent are directed;
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`•
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`whether the combination is of familiar elements according to known
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`methods that yields predictable results;
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`•
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`whether a combination involves the substitution of one known
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`element for another that yields predictable results;
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`•
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`whether the combination involves the use of a known technique to
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`improve similar items or methods in the same way that yields predictable results;
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`•
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`whether the combination involves the application of a known
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`technique to a prior art reference that is ready for improvement, to yield
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`predictable results;
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`•
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`•
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`whether the combination is “obvious to try”;
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`whether the combination involves the known work in one field of
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`endeavor prompting variations of it for use in either the same field or a different
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`one based on design incentives or other market forces, where the variations are
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`predictable to a POSITA;
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`•
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`whether there is some teaching, suggestion, or motivation in the prior
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`art that would have led one of ordinary skill in the art to modify the prior art
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`reference or to combine prior art reference teachings to arrive at the claimed
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`invention;
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`•
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`whether the combination requires modifications that render the prior
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`art unsatisfactory for its intended use;
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`•
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`whether the combination requires modifications that change the
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`principle of operation of the reference;
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`•
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`•
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`whether the combination is reasonably expected to be a success; and
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`whether the combination possesses the requisite degree of
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`predictability at the time the invention was made.
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`26.
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`I understand that in determining whether a combination of prior art
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`references renders a claim obvious, it is helpful to consider whether there is some
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`teaching, suggestion, or motivation to combine the references and a reasonable
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`expectation of success in doing so. I understand, however, that a teaching,
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`suggestion, or motivation to combine is not required.
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`V. LEVEL OF ORDINARY SKILL IN THE ART
`27. One of ordinary skill in the art would have had a bachelor’s degree in
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`electrical engineering, computer engineering, computer science, or a related field,
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`and at least two years of experience in the research, design, development, and/or
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`testing of GPS and related positioning techniques, or the equivalent, with
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`additional education substituting for experience and vice versa.
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`VI. PRIORITY DATE
`28.
`I understand that the ’855 Patent is a continuation of an application
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`filed on Feb 1, 2005. I take no position on the proper priority date for each claim of
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`the ’855 Patent because I understand that all prior art references are U.S. patents or
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`patent publications that were published and/or filed well-before the filing date of
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`this ’855 Patent.
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`VII. CLAIM CONSTRUCTION
`29.
`I do not believe that any term in the challenged claims requires
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`explicit construction to resolve the grounds presented.
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`VIII. SUMMARY OF OPINIONS
`30.
`I have been asked to consider whether the claims of the ’855 Patent
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`are obvious over certain prior art references. As explained below in detail in this
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`Declaration, it is my opinion that:
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`11
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`•
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`Ground 1: Claim 11 is rendered obvious by U.S. Patent No.
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`6,999,779 (“Hashimoto”, Ex-1005) in view of U.S. Published Patent Application
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`No. 2004/0008138 (“Hockley”, Ex-1006).
`
`•
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`Ground 2: Claims 12-14 are rendered obvious by Hashimoto and
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`Hockley, in further view of U.S. Published Patent Application No. 2003/0151506
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`(“Luccketti”, Ex-1007).
`
`•
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`Ground 3: Claims 15-16 are rendered obvious by Hashimoto and
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`Hockley, in further view of U.S. Published Patent Application No. 2003/0195008
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`(“Mohi”, Ex-1008).
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`31. The following table is a summary of the above enumerated grounds:
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`Ground
`1
`2
`3
`
`Prior Art
`Hashimoto and Hockley
`Hashimoto, Hockley, and Luccketti
`Hashimoto, Hockley, and Mohi
`
`Claims
`11
`12-14
`15-16
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`IX. TECHNOLOGY BACKGROUND
`32. To provide background for the element-by-element analysis of the
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`claims to follow, below I will present an overview of the state of the art existing at
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`the time of the alleged invention relating to geolocation generally, and as it relates
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`to locating mobile devices or individuals, among other relevant technology. As I
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`will describe below from a high-level functional perspective, in the next section
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`based on specific prior art, and then in subsequent sections on a limitation-by-
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`limitation basis, all of these technologies and positioning techniques were well-
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`known to those of ordinary skill in the art at the time of the alleged invention
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`claimed in the ’855 Patent, and a POSITA would have readily understood the
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`combination of elements of Claim 11-16 to have been obvious.
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`A. Geolocation Generally
`33. Navigation, and numerous other safety and convenience systems rely
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`on determining the state2 of the vehicle (aircraft, ship, car, etc.) with reasonable
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`accuracy. This position can then be used to locate the vehicle on a map, for
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`example to inform or support the user, or to control the position of the vehicle
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`relative to known structures or hazards.
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`34. Traditionally, navigation has used two methods for determining
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`location. Celestial navigation and what is known as “Dead Reckoning.” Celestial
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`navigation involves measuring the positions of stars and planets at known times,
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`and then converting those measurements to a position estimate using tables
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`describing the well-established motions of these celestial objects. Celestial
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`navigation involves measuring the positions of stars and planets at known times,
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`and then converting those measurements to a position estimate using tables
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`2 In general, this state is represented by a set of state parameters that include
`latitude, longitude, altitude or elevation, time, speed heading and other related
`information.
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`describing the well-established motions of these celestial objects. This celestial
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`navigation process involves measuring the elevation of the object from the horizon
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`using a telescope-like device called a sextant. By noting the name of the object, the
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`elevation and the time, the observer can then determine where on the earth the
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`object would be visible at that elevation at that specific time. As shown in Figure 1,
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`an object in the sky will be observed at a specific elevation at a specific time only
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`when viewed from anywhere on a unique circle on the earth’s surface.
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`Figure 1
`Star Viewed From Two Points On Earth Shows Same Elevation Angle
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`35. The observer uses a detailed table of the orbits of bright stars, the sun,
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`the moon and the planets (depending on what celestial object is being observed) to
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`determine exactly where this circle (or a small segment of it in his local vicinity) is
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`on the Earth’s surface. This table is called an ephemeris.
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`36. So, by measuring one object the observer knows he is somewhere on
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`that circle. By measuring two objects, he can define two circles, and his position is
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`one of the two places where the circles intersect. As shown in Figure 2, by
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`measuring a third object, and thereby creating a third circle, the observer can
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`resolve his position to the one place where all three circles cross. More object
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`measurements will produce more overlapping circles, and thus the more confident
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`the observer can be in the accuracy of the position estimate.
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`Figure 2
`Multiple Observations Produce Multiple Position Lines.
`Point of Mutual Intersection Is Position
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`37. Dead reckoning uses a known location of a starting point (originally a
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`point of land, or a buoy in a harbor). As the vehicle moves it’s heading and speed
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`are recorded, and each time the heading or speed changes, a new record is made
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`(originally this record was made in the ship’s log), thereby creating a chain of
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`vectors with direction according to the heading at that time, and distance equal to
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`the speed time the time on that course. By linking together these changes the
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`navigator can plot the course traveled and determine roughly where they are after
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`traveling some distance over time.
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`38. These two methods (dead reckoning and celestial navigation) have
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`served navigators well for centuries, but they have serious drawbacks. Celestial
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`navigation lacks fine accuracy (because you have to measure the elevation of a star
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`from the horizon, and this may be challenging on the deck of a floating ship, or
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`flying aircraft, and is impractical in a moving automobile) and it suffers greatly
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`from the fact that it cannot be used effectively in daylight or under cloud cover.
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`Dead reckoning assumes that speed and heading can be measured reasonably
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`accurately, but it does not inherently take into account effects from errors in these
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`measurements either from the sensor errors, or from external effects such as
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`current or wind. Dead reckoning works well over short distances, but if used for a
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`long time the errors in heading and speed measurement accumulate, and the
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`position estimate can drift off of the true position by significant amounts.
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`B. Global Positioning System (GPS)
`39. To provide a more reliable and accurate alternative to celestial
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`navigation, the U.S. government built a constellation of satellites known as the
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`Global Positioning System (GPS).3 This system operates in a way reminiscent of
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`celestial navigation, but re-created in an electronic form.
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`40. The satellites are arranged in earth orbit in a way that allows several
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`of them to always be visible from any point on the globe. As a result, it is possible
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`to use the system at any time of day, and under most weather situations. In
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`operation, the satellites transmit a repeating signal that contains a variety of
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`information used by a receiver to determine the orbital location of the satellite, and
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`also the time delay from when the signal was sent to when it was received by the
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`receiver.
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`41. By measuring the time delay from the satellite, it is possible to
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`determine the distance between the satellite and the receiver. This distance
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`represents the radius of a sphere centered on the satellite. With the distance to one
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`satellite the user will know they are somewhere on that sphere. If the distance to
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`two satellites is known, the user will know they are somewhere on the intersection
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`of the two spheres (a circle), and if three satellites are known they will know they
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`are at one the point where the three circles intersect. In practice, four satellite
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`signals are generally required