throbber
UNITED STATES PATENT AND TRADEMARK OFFICE
`
`BEFORE THE PATENT TRIAL AND APPEAL BOARD
`
`LG ELECTRONICS, INC.
`Petitioner
`v.
`CONSTELLATION DESIGNS, LLC
`Patent Owner
`
`US Patent No. 10,693,700
`Issue Date: June 23, 2020
`Title: Receivers Incorporating Non-Uniform Multidimensional Constellations and
`Code Rate Pairs
`
`Inter Partes Review No.: IPR2023-00228
`
`DECLARATION OF DR. BERTRAND HOCHWALD
`
`1
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`LGE 1003
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`
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`TABLE OF CONTENTS
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`
`
`I. 
`
`INTRODUCTION .............................................................................................. 1 
`
`II.  QUALIFICATIONS ........................................................................................... 2 
`
`III.  MATERIALS CONSIDERED .......................................................................... 6 
`
`IV.  OVERVIEW OF CONCLUSIONS FORMED ................................................ 9 
`
`V.  LEVEL OF ORDINARY SKILL IN THE ART ........................................... 10 
`
`VI.  LEGAL PRINCIPLES ..................................................................................... 11 
`
`  ANTICIPATION ................................................................................................. 12 
`
`  OBVIOUSNESS .................................................................................................. 12 
`
`VII. CLAIM CONSTRUCTION ............................................................................. 17 
`
`VIII.  OVERVIEW OF US PATENT NO. 10,693,700 ........................................ 17 
`
`  PATENT FAMILY OF THE ’700 PATENT ............................................................. 17 
`
`  BACKGROUND OF THE ’700 PATENT ................................................................ 19 
`
`  BRIEF DESCRIPTION OF THE ’700 PATENT ........................................................ 20 
`
`  SUMMARY OF THE PROSECUTION HISTORY OF THE ’700 PATENT .................... 28 
`
`IX.  OVERVIEW OF PRIOR ART REFERENCES AND COMBINATIONS 28 
`
`  OVERVIEW OF EROZ ......................................................................................... 28 
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`  OVERVIEW OF DVB-T ..................................................................................... 32 
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`  COMBINATION OF EROZ AND DVB-T .............................................................. 37 
`
`  OVERVIEW OF SOMMER ................................................................................... 41 
`
`  COMBINATION OF EDC AND SOMMER ............................................................. 44 
`
`  OVERVIEW OF DEGAUDENZI ............................................................................ 46 
`
`  COMBINATION OF EDC AND DEGAUDENZI ..................................................... 54 
`
`  OVERVIEW OF DVB-S2 ................................................................................... 57 
`
`  COMBINATION OF EDC AND DVB-S2 ............................................................. 59 
`
`  OVERVIEW OF DVB-TS ................................................................................... 63 
`
`  COMBINATION OF EDC AND DVB-TS ............................................................. 64 
`
`X.  APPLICATION OF THE PRIOR ART TO THE REFERENCES ............ 66 
`
`A.  GROUND 1A: EROZ AND DVB-T RENDER CLAIMS 1, 8, 10-11, 18, 20-21, 28,
`
`AND 30 OBVIOUS ...................................................................................................... 66 
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`B.  GROUND 1B: EROZ AND DVB-T AND DEGAUDENZI RENDER CLAIMS 1, 6, 8, 10-
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`11, 16, 18, 20-21, 26, 28, AND 30 OBVIOUS .............................................................. 96 
`
`C.  GROUND 2A: EDC AND SOMMER RENDER CLAIMS 4, 14, AND 24 OBVIOUS ... 103 
`
`D.  GROUND 3A: EDC AND DVB-S2 RENDER CLAIMS 7, 17, AND 27 OBVIOUS ... 107 
`
`E.  GROUND 4A: EDC AND DVB-TS, RENDER CLAIMS 9, 19, AND 29 OBVIOUS .. 115 
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`F.  GROUNDS 2B-4B ........................................................................................... 120 
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`XI.  CONCLUSION ............................................................................................... 120 
`XT. CONCLUSION......cccccccscsssscsssssssssssssecsscssssssssssesssssessssessssssssssesssessssssesssesseess 120
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`I, Dr. Bertrand Hochwald, declare as follows:
`
`I.
`
`INTRODUCTION
`
`[0001]
`
`I have been retained by LG Electronics, Inc. (“Petitioner” or “LG”) to
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`serve as an independent expert consultant in the Inter Partes review (IPR)
`
`proceedings regarding U.S. Patent No. 10,693,700 (the “’700 Patent” or
`
`LGE1001). I have been asked to consider the validity of claims 1, 4, 6-11, 14,
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`16-21, 24, and 26-30 of the ’700 Patent (the “Challenged Claims”). My
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`opinions are set forth below.
`
`[0002]
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`I am being compensated at my normal rate of $675/hour for all services
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`rendered. My compensation is not contingent upon the results of my study, the
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`substance of my opinions, or the outcome of any proceeding involving the
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`challenged claims. I have no financial interest in the outcome of this matter or
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`on the pending litigation between Petitioner and Patent Owner.
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`[0003] My analysis of the materials produced in this proceeding is ongoing and
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`I will continue to review any new material that is provided. This declaration is
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`indicative of only those opinions that I have formed to date. I reserve the right
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`to amend, revise, and/or supplement my opinions stated herein based on any
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`new information that may become available to me or my continuing analysis of
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`the materials already provided.
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`II. QUALIFICATIONS
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`[0004] My qualifications for forming the opinions in this report are summarized
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`here and also noted in my Curriculum Vitae (“CV”), which is submitted as
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`Appendix A.
`
`[0005]
`
`In 1995, I received a Ph.D. in Electrical Engineering from Yale
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`University. My Ph.D. work involved the analysis and processing of
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`electromagnetic and audio signals for the estimation of the location of
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`electromagnetic and audio sources. In 1993, I received an M.A. in Statistics
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`from Yale University. My primary area of study was Signal Processing and
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`Communications. I received an M.S. in Electrical Engineering from Duke
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`University in 1986, and a B.S. in Engineering from Swarthmore College in
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`1984.
`
`[0006]
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`I have twenty-six years of combined industry and academic experience in
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`the research and design of hardware, software, and systems for various
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`technologies,
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`including electronic devices, sensors, signal and
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`image
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`processing, networking and wireless communications. I have worked in various
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`industry jobs, including at the Department of Defense, Bell Labs, and a start-up
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`in California before joining the University of Notre Dame in 2011. As I explain
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`below, much of my work has been in the general areas of audio/video signal
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`processing and communications.
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`[0007] My most recent appointment, starting in 2011, is with the University of
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`Notre Dame, where I am currently a Freimann Chaired Professor of Electrical
`
`Engineering. I have taught both graduate and undergraduate classes in signal
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`processing, information theory, communications, and in systems theory. I have
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`also taught courses in electronics, analog and digital signal sensing, processing,
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`computation, and electronic forms of wireline and wireless networking and
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`communications. My primary areas of research include such systems, sensors,
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`communication system design and signal processing. I advise graduate students
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`who are attaining Ph.D. degrees through research and coursework. My research
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`work now includes processing of high data rate signals (similar to those used to
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`transmit and receive coded signals) in communication systems.
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`[0008] An example of my current work at the University includes a project that
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`I lead called RadioHound distributed spectrum sensor system for remote
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`monitoring using radio signals (https://wireless.nd.edu/research/radiohound-
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`distributed-spectrum-sensing/), which is a multi-year effort involving several
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`students, faculty, and technicians. The RadioHound system captures data from
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`hundreds of sensors and displays it in a real-time setting for human
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`interpretation and assessment. This project, which is funded by government and
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`industrial sponsors, involves the design of hardware sensors, and software
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`communications transceivers. The project has become an educational and
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`research tool used by laboratories inside and outside the University of Notre
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`Dame.
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`[0009] Prior
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`to Notre Dame, I worked from 2005-2010 at Beceem
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`Communications, a 4G WiMax and LTE cellular communication chipset start-
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`up company in Santa Clara, California, where I was Chief Scientist and Vice
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`President of Systems Engineering. I was an integral part of the chipset
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`development team. Beceem was bought by Broadcom Corporation in 2010 and
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`no longer exists as a separate company. Several aspects of channel coding and
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`wireless communications for our products were developed within this team.
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`[0010] From 1996-2005, I worked at Lucent Bell Laboratories in New Jersey,
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`where I was a Distinguished Member of the Technical Staff doing research into
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`various communication and networking systems. For example, my work in Bell
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`Labs included wireless communications and multi-antenna signal processing
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`and coding.
`
`[0011]
`
` Before Bell Laboratories, I was a Visiting Assistant Professor at the
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`University of Illinois in Urbana-Champaign during the 1995-1996 school year,
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`where I worked on a broad range of research topics related to signal processing
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`and wireless communications.
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`[0012] Prior to completing my Ph.D., during 1986-1989, I worked at the
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`Department of Defense as a system engineer for signal processing and wireless
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`communication systems. In this role, I designed wireless communication
`
`equipment for audio and video signal monitoring and processing. Much of this
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`work is classified for security reasons.
`
`[0013] As a result of my research, I have obtained 48 patents, and I have
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`published more than one-hundred articles in scholarly journals, many of them
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`within the journals of the Institute of Electrical and Electronic Engineers
`
`(IEEE), one of the premier societies for electrical engineers. I have been an
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`invited and plenary speaker at several international conferences throughout the
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`world and have received awards and recognition for my research and
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`publications. An example relevant publication includes A. Ashikhmin, A. van
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`Wijngaarden, Z. Haibo, B. Hochwald, et al, “Design and development of a
`
`terrestrial digital video broadcast demodulation core: An international
`
`collaborative effort,” Bell Labs Technical Journal, vol. 12, pp. 97-118, 2007.
`
`[0014] Since 2012, I have engaged in consulting work as an expert in various
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`litigation matters
`
`including acoustic echo cancelling, multi-antenna
`
`technologies, cellular and wireless local-area-net standards and technologies,
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`and touch-screen technologies. I have served as an expert on behalf of both
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`plaintiffs and defendants in patent cases. I have served as a technology expert
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`in various aspects of the litigation process, including trade secret disputes, trial
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`testimony, Markman hearings, and IPRs.
`
`[0015]
`
`I have had experience drafting and successfully prosecuting my own
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`patents, and have worked with other technology experts as a co-inventor and co-
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`author.
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` Some of my patents deal with coding for multi-antenna
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`communications. An example is US Patent No. 6,363,121, which designs
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`multidimensional constellations with a unitary structure for transmission across
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`multiple antennas.
`
`III. MATERIALS CONSIDERED
`
`[0016] All of the opinions contained in this declaration are based on the
`
`documents I have reviewed and my professional judgment, as well as my
`
`education, experience, and professional knowledge. I am not an attorney and I
`
`am not offering any legal opinions in this declaration.
`
`[0017]
`
`In forming my opinions expressed in this declaration, I relied on the ’700
`
`Patent (LGE1001), the prosecution history of the ’700 Patent (LGE1002), the
`
`prior art references cited herein, and other exhibits I have cited in this
`
`declaration. Some of the additional prior art references I reviewed include:
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`Prior Art References
`
`U.S. Patent Pub. No. 2004/0054960 to Eroz et al. (LGE1004 or
`
`“Eroz”)
`
`ETSI EN 300 744 V1.2.1, Digital Video Broadcasting (DVB);
`
`Framing structure, channel coding and modulation for digital
`
`terrestrial television, 1999-07 (LGE1005 or “DVB-T”)
`
`D. Sommer and G.P. Fettweis, Signal Shaping by Non-Uniform
`
`QAM for AWGN Channels and Applications Using Turbo
`
`Coding, January 2000 (LGE1006 or “Sommer”)
`
`Ulrich Reimers et al., DVB The Family of International
`
`Standards for Digital Video Broadcasting, Second Edition, 2005
`
`(LGE1008 or “Ulrich”)
`
`ETSI EN 302 307 V1.1.2, Digital Video Broadcasting (DVB);
`
`Second generation framing structure, channel coding and
`
`modulation systems for Broadcasting, Interactive Services,
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`News Gathering and other broadband satellite applications,
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`June, 2006 (LGE1009 or “DVB-S2”)
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`U.S. Provisional application No. 60/933,319 (LGE1010 or “’319
`
`Provisional”)
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`ETSI TS 102 006 V1.2.1, Digital Video Broadcasting (DVB);
`
`Specifications for System Software Update in DVB Systems,
`
`October 2002 (LGE1013 or “DVB-TS”)
`
`De Gaudenzi et al., Turbo-coded APSK modulations design for
`
`satellite broadband communications, Int. J. Satell. Commun.
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`Network. 2006; 24:261–281, Published online 19 May 2006 in
`
`Wiley InterScience (LGE1014 or “DeGaudenzi”)
`
`Proakis, John G. Digital Communications, Fourth Edition, 2000.
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`(LGE1021 or “Proakis”)
`
`G. Robins, Signal constellation design tool: A case study in user
`
`interface synthesis, International Conference on Computer
`
`Assisted Learning, 1989. First Online: 01 January 2005.
`
`(LGE1016 or “Robins”)
`
`[0018] Counsel (Fish & Richardson) has informed me that I should consider
`
`these materials through the lens of a person of ordinary skill in the art (POSITA)
`
`related to the ’700 Patent, and I have done so during my review of these
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`materials. See also infra Sections VIII-X. The ’700 Patent was filed on
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`December 23, 2019 and claims priority from U.S. Provisional application No.
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`60/933,319, which was filed on June 5, 2007. LGE1001, cover. For the
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`purposes of this declaration, Counsel has indicated that I should use June 5, 2007
`
`for the purposes of what a POSITA would have known or considered. I have
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`therefore used June 5, 2007 as the date for my analysis below.
`
`IV. OVERVIEW OF CONCLUSIONS FORMED
`
`[0019] This declaration explains the conclusions that I have formed based on my
`
`analysis. Based on my review of the Challenged Claims and above-noted
`
`materials considered, it is my conclusion that:
`
` 1A: Claims 1, 8, 10-11, 18, 20-21, 28, and 30 are obvious over Eroz and
`
`DVB-T;
`
` 1B: Claims 1, 6, 8, 10-11, 16, 18, 20-21, 26, 28, and 30 are obvious over
`
`Eroz and DVB-T and DeGaudenzi;
`
` 2A: Claims 4, 14, and 24 are obvious over Eroz, DVB-T, and Sommer;
`
` 2B: Claims 4, 14, and 24 are obvious over Eroz, DVB-T, and Sommer and
`
`DeGaudenzi;
`
` 3A: Claims 7, 17, and 27 are obvious over Eroz, DVB-T, and DVB-S2;
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` 3B: Claims 7, 17, and 27 are obvious over Eroz, DVB-T, and DVB-S2 and
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`DeGaudenzi; and
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` 4A: Claims 9, 19, and 29 are obvious over Eroz, DVB-T, and DVB-TS; and
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` 4B: Claims 9, 19, and 29 are obvious over Eroz, DVB-T, and DVB-TS and
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`DeGaudenzi.
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`[0020]
`
`In support of these conclusions, I provide an overview of the references
`
`and combinations in Section IX and more detailed comments regarding the
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`obviousness of the Challenged Claims in Section X.
`
`V. LEVEL OF ORDINARY SKILL IN THE ART
`
`[0021]
`
`In rendering the opinions set forth in this declaration, I was asked to
`
`consider the Challenged Claims and the prior art through the eyes of a POSITA
`
`as of June 5, 2007. I understand that the factors considered in determining the
`
`ordinary level of skill in a field of art include the level of education and
`
`experience of persons working in the field; the types of problems encountered
`
`in the field; the teachings of the prior art, and the sophistication of the
`
`technology as of June 5, 2007. I understand that a POSITA is not a specific real
`
`individual, but rather is a hypothetical individual having the qualities reflected
`
`by the factors above. I understand that a POSITA would also have knowledge
`
`from the teachings of the prior art, including the art cited below.
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`[0022] Taking these factors into consideration, a POSITA would have had at
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`least a Master’s degree in an academic area emphasizing electrical engineering
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`or a similar discipline, and at least two years of experience in the field working
`
`with, teaching, or researching communication systems including the use of
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`constellations in transmitting signals between devices. Alternatively, the person
`
`could also hold a more advanced degree, e.g., a Masters or Doctor of Philosophy
`
`degree in these academic disciplines, with less than two years work experience
`
`in the same discipline.
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`[0023] By June 5, 2007, my level of skill in the art was at least that of a POSITA.
`
`I am qualified to provide opinions concerning what a POSITA would have
`
`known and understood at that time, and my analysis and conclusions herein are
`
`from the perspective of a POSITA as of that date.
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`
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`VI. LEGAL PRINCIPLES
`
`[0024]
`
`I am not an attorney and I have not been asked to express any legal
`
`opinions. I have been informed by Counsel and understand that:
`
` documents and materials that qualify as prior art can render a patent claim
`
`unpatentable as being anticipated or obvious; and
`
` all prior art references are to be looked at from the viewpoint of a POSITA, and
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`that this viewpoint prevents one from using his or her own insight or hindsight
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`in deciding whether a claim is anticipated or rendered obvious.
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`[0025]
`
`In connection with the analysis presented in this declaration, I considered
`
`the following legal standards that counsel for Petitioner provided to me.
`
`
`
` Anticipation
`[0026]
`I understand that patents or printed publications that qualify as prior art
`
`can be used to invalidate a patent claim as anticipated or as obvious.
`
`[0027]
`
`I understand that, once the claims of a patent have been properly
`
`construed, the second step in determining anticipation of a patent claim requires
`
`a comparison of the properly construed claim language to the prior art on a
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`limitation-by-limitation basis.
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`[0028]
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`I understand that a prior art reference “anticipates” an asserted claim, and
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`thus renders the claim invalid, if all limitations of the claim are disclosed in that
`
`prior art reference, either explicitly or inherently (i.e., necessarily present).
`
` Obviousness
`[0029]
`I understand that even if a patent is not anticipated, it is still invalid if the
`
`differences between the claimed subject matter and the prior art are such that
`
`the subject matter as a whole would have been obvious to a POSITA as of the
`
`earliest priority date of a patent.
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`[0030]
`
`I have been informed by Counsel and understand that a claim is
`
`unpatentable for obviousness and that obviousness may be based upon a
`
`combination of prior art references. I am informed by Counsel and understand
`
`that the combination of familiar elements according to known methods is likely
`
`to be obvious when it does no more than yield predictable results. However, I
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`am informed by Counsel and understand that a patent claim composed of several
`
`elements is not proved obvious merely by demonstrating that each of its
`
`elements was, independently, known in the prior art.
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`[0031]
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`I am informed by Counsel and understand that when a patented invention
`
`is a combination of known elements, a court determines whether there was an
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`apparent reason to combine the known elements in the fashion claimed by the
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`patent at issue by considering the teachings of prior art references, the effects of
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`demands known to people working in the field or present in the marketplace,
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`and the background knowledge possessed by a POSITA.
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`[0032]
`
`I am informed by Counsel and understand that a patent claim composed
`
`of several limitations is not proved obvious merely by demonstrating that each
`
`of its limitations was independently known in the prior art. I am informed by
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`Counsel and understand that identifying a reason those elements would be
`
`combined can be important because inventions in many instances rely upon
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`building blocks long since uncovered, and claimed discoveries almost of
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`necessity will be combinations of what, in some sense, is already known. I am
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`informed by Counsel and understand that it is improper to use hindsight in an
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`obviousness analysis, and that a patent’s claims should not be used as a
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`“roadmap.”
`
`[0033]
`
`I am informed by Counsel and understand that an obviousness inquiry
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`requires consideration of the following factors: (1) the scope and content of the
`
`prior art, (2) the differences between the prior art and the claims, (3) the level
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`of ordinary skill in the art, and (4) any so called “secondary considerations” of
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`non-obviousness, which include: (i) “long felt need” for the claimed invention,
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`(ii) commercial success attributable to the claimed invention, (iii) unexpected
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`results of the claimed invention, and (iv) “copying” of the claimed invention by
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`others.
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`[0034]
`
`I have been informed by Counsel and understand that an obviousness
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`evaluation can be based on a single reference or a combination of multiple prior
`
`art references. I understand that the prior art references themselves may provide
`
`a suggestion, motivation, or reason to combine, but that the nexus linking two
`
`or more prior art references is sometimes simple common sense. I have been
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`informed by Counsel and understand that obviousness analysis recognizes that
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`market demand, rather than scientific literature, often drives innovation, and that
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`a motivation to combine references may be supplied by the direction of the
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`marketplace.
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`[0035]
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`I have been informed by Counsel and understand that if a technique has
`
`been used to improve one device, and a POSITA at the time of invention would
`
`have recognized that it would improve similar devices in the same way, using
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`the technique is obvious unless its actual application is beyond his or her skill.
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`[0036]
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`I have been informed by Counsel and understand that practical and
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`common sense considerations should guide a proper obviousness analysis,
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`because familiar items may have obvious uses beyond their primary purposes.
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`I have been informed by Counsel and understand that a POSITA looking to
`
`overcome a problem will often be able to fit together the teachings of multiple
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`prior art references. I have been informed by Counsel and understand that
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`obviousness analysis therefore takes into account the inferences and creative
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`steps that a POSITA would have employed at the time of invention.
`
`[0037]
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`I have been informed by Counsel and understand that a proper
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`obviousness analysis focuses on what was known or obvious to a POSITA at
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`the time of invention, not just the patentee. Accordingly, I understand that any
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`need or problem known in the field of endeavor at the time of invention and
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`addressed by the patent can provide a reason for combining the elements in the
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`manner claimed.
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`[0038]
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`I have been informed by Counsel and understand that a claim can be
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`obvious in light of a single reference, without the need to combine references,
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`if the elements of the claim that are not found explicitly or inherently in the
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`reference can be supplied by the common sense of a POSITA.
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`[0039]
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`I have been informed by Counsel and understand that there must be a
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`relationship between any such secondary considerations and the invention, and
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`that contemporaneous and independent invention by others is a secondary
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`consideration supporting an obviousness determination.
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`[0040]
`
`In sum, my understanding is that prior art teachings are properly
`
`combined where a POSITA having the understanding and knowledge reflected
`
`in the prior art and motivated by the general problem facing the inventor, would
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`have been led to make the combination of elements recited in the claims. Under
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`this analysis, the prior art references themselves, or any need or problem known
`
`in the field of endeavor at the time of the invention, can provide a reason for
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`combining the elements of multiple prior art references in the claimed manner.
`
`[0041]
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`I have been informed by Counsel and understand that in an inter partes
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`review (IPR), “the petitioner shall have the burden of proving a proposition of
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`unpatentability,” including a proposition of obviousness, “by a preponderance
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`of the evidence.”
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`VII. CLAIM CONSTRUCTION
`
`[0042]
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`I understand that when considering the meaning of claims subject to inter
`
`partes review, one must consider the claim language. I understand that claim
`
`terms are generally given their plain and ordinary meaning, as would be
`
`understood by a POSITA in the context of the specification, the prosecution
`
`history, and other claims. I have applied the above principles in forming my
`
`opinions provided in this declaration.
`
`
`
`VIII. OVERVIEW OF US PATENT NO. 10,693,700
`
`Patent Family of the ’700 Patent
`
`[0043] The
`’700 Patent,
`titled “Receivers
`
`Incorporating Non-Uniform
`
`Multidimensional Constellations and Code Rate Pairs” was filed on December
`
`23, 2019, and issued on June 23, 2020. LGE1001, cover page. I understand
`
`that:
`
` the ’700 Patent issued from US Patent Application No. 16/726,037, and
`
`claims to be a continuation of application No. 16/206,991, filed on Nov.
`17
`
`
`
`21
`
`

`

`
`
`30, 2018, now US Pat. No. 10,567,980;
`
` US Pat. No. 10,567,980 is a continuation of US Patent Application No.
`
`15/682,475, filed on Aug. 21, 2017, now US Pat. No. 10,149,179;
`
` US Pat. No. 10,149,179 is a continuation of US Patent Application No.
`
`15/200,800, filed on Jul. 1, 2016, now US Pat. No. 9,743,292;
`
` US Pat. No. 9,743,292 is a continuation of US Patent Application No.
`
`14/491,731, filed on Sep. 19, 2014, now US Pat. No. 9,385,832;
`
` US Pat. No. 9,385,832 is a continuation of US Patent Application No.
`
`13/618,630, filed on Sep. 14, 2012, now US Pat. No. 8,842,761;
`
` US Pat. No. 8,842,761 is a continuation of US Patent Application No.
`
`13/118,921, filed on May 31, 2011, now US Pat. No. 8,270,511;
`
` US Pat. No. 8,270,511 is a continuation of US Patent Application No.
`
`12/156,989, filed on Jun. 5, 2008, now US Pat. No. 7,978,777; and
`
` US Pat. No. 7,978,777 claims priority from U.S. Provisional application
`
`No. 60/933,319, filed on June 5, 2007. Id.
`
`[0044]
`
`I have not offered any opinions in this declaration regarding whether the
`
`’700 Patent is entitled to priority to June 5, 2007, but have used this date for my
`
`analysis as I noted above.
`
`
`
`
`
`18
`
`22
`
`

`

`
`
`Background of the ’700 Patent
`
`[0045] The ’700 Patent is directed to communication systems that use
`
`“geometrically-shaped constellations” that have a capacity approaching the
`
`Shannon limit. LGE1001, 2:21-25, Abstract. In communication systems, the
`
`term “constellation” refers to “the possible symbols that can be transmitted by
`
`a typical digital communication system.” Id., 1:42-44. When a transmitter
`
`transmits data symbols, a “receiver attempts to detect the symbols that were
`
`transmitted by mapping a received signal to the constellation.” Id., 1:44-46.
`
`The ’700 Patent explains that the “minimum distance (dmin) between
`
`constellation points is indicative of the capacity of a constellation at high signal-
`
`to-noise ratios (SNRs),” so “constellations used in many communication
`
`systems are designed to maximize dmin” to bring the constellation capacity closer
`
`to the Shannon limit. Id., 1:46-50.
`
`[0046] According to the ’700 Patent, many communication systems have been
`
`designed to increase the capacity of a communication channel, or come near the
`
`theoretical capacity known as the Shannon limit. LGE1001, 1:55-60. “The
`
`Shannon limit can be thought of as being based upon a theoretical constellation
`
`known as a Gaussian distribution [constellation], which is an infinite
`
`constellation where symbols at the center of the constellation are transmitted
`
`
`
`19
`
`23
`
`

`

`
`
`more frequently than symbols at the edge of the constellation.” Id., 1:62-67.
`
`Known methods to designs systems reaching the Shannon capacity limit include
`
`using coding techniques such as turbo codes or LDPC codes. Id., 1:52-61:2:6.
`
`[0047] The ’700 Patent acknowledges that using unequally spaced constellations
`
`to design systems approaching the Shannon capacity limit is not new.
`
`LGE1001, 1:55-60, 2:6-17. One known system “uses unequally spaced
`
`constellations that are optimized to minimize the error rate of an uncoded
`
`system.” Id., 2:6-9. “Another proposed system uses a constellation with
`
`equiprobable but unequally spaced symbols in an attempts[sic] to mimic a
`
`Gaussian distribution.” Id., 2:10-12. Yet another known method “increases the
`
`dimensionality of a constellation or select[s] a new symbol to be transmitted
`
`taking into consideration previously transmitted symbols.” Id., 2:13-15.
`
`Although the ’700 Patent contends that earlier “constellation[s] were still
`
`designed based on a minimum distance criteria,” known prior art systems that
`
`employed unequally spaced constellations without reliance on a minimum
`
`distance criteria also existed. Id., 2:15-17; see infra Sections IX-X.
`
`
`
` Brief Description of the ’700 Patent
`[0048] The ’700 Patent discloses “constructing a modulation such that the
`
`
`
`20
`
`24
`
`

`

`
`
`constrained capacity between a transmitter and a receiver approaches the
`
`Gaussian channel limit first described by Shannon.” LGE1001, 2:21-25. The
`
`’700 Patent discloses a method for locating points (in a one or multiple
`
`dimensional space) in order to maximize capacity between the input and output
`
`of a bit or symbol mapper and demapper respectively.” Id., 2:29-34.
`
`[0049] Figure 1 (reproduced below) shows a communication system 10
`
`according to the ’700 Patent, which includes “a source 12 that provides user bits
`
`to a transmitter 14,” which in turn “transmits symbols over a channel to a
`
`receiver 16 using a predetermined modulation scheme.” LGE1001, 5:32-35.
`
`Using knowledge of the modulation scheme, the receiver 16 decodes the signal
`
`and provides the decoded bits to a sink device 18 connected to the receiver 16.
`
`Id., 5:33-35.
`
`21
`
`
`
`
`
`25
`
`

`

`
`
`LGE1001, FIG. 1.
`
`[0050] FIG. 2 (reproduced below) of the ’700 Patent depicts the transmitter 14
`
`and its components, which include a coder 20, a mapper 22, and a modulator
`
`24. LGE1001, 3:45-46, 5:40-51. FIG. 3 (reproduced below) of the ’700 Patent
`
`depicts the receiver 16 and its components, which include a demodulator 30, a
`
`demapper 32, and a decoder 34. LGE1001, 3:47-48, 5:53-59.
`
`
`
`
`
`22
`
`26
`
`

`

`
`
`LGE1001, FIGS. 2-3. 1
`
`[0051] The coder 20 of the transmitter 14 “receives user bits from a source and
`
`encodes the bits in accordance with a predetermined coding scheme,” such as a
`
`capacity approaching code (e.g., turbo code, LDPC code) or other coding
`
`schemes that provide a coding gain. LGE1001, 5:40-44. A mapper 22
`
`connected to the coder “maps the bits output by the coder to a symbol within a
`
`geometrically distributed signal constellation stored within the mapper” and
`
`“provides the symbols to a modulator 24, which modulates the symbols for
`
`transmission via the channel.” Id., 5:46-51. The mapper of the transmitter
`
`encodes bits to symbols in a symbol constellation that “is a capacity optimized
`
`geometrically spaced symbol constellation that provides a given capacity at a
`
`reduced signal-to-noise ratio compared to a signal constellation that maximizes
`
`dmin.” Id., 2:52-55, 2:56-62, 4:66-5:3. Signal-to-noise ratio (SNR) is “defined
`
`as the ratio of the average constellation energy per dimension to the average
`
`noise energy per dimension.” Id., 7:52-54. The ’700 Patent explains that
`
`
`
`1 I have annotated this and other figures in my declaration using colored text and/or
`
`marks.
`
`
`
`23
`
`27
`
`

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