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`Inter Partes Review of U.S. 8,934,445
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`UNITED STATES PATENT AND TRADEMARK OFFICE
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`_________________________
`
`BEFORE THE PATENT TRIAL AND APPEAL BOARD
`
`_________________________
`
`ALCATEL-LUCENT USA, INC.
`Petitioner
`
`v.
`
`ADAPTIX, INC.
`Patent Owner
`
`_________________________
`
`Patent 8,934,445
`
`TITLE: MULTI-CARRIER COMMUNICATIONS WITH ADAPTIVE
`CLUSTER CONFIGURATION AND SWITCHING
`
`_________________________
`
`DECLARATION OF BRUCE MCNAIR
`UNDER 37 C.F.R. § 1.68
`
`I, Bruce McNair, do hereby declare:
`
`1.
`
`I am making this declaration at the request of Alcatel-Lucent USA,
`
`Inc. (“ALU”) in the matter of the Inter Partes Review of U.S. Patent No.
`
`8,934,445 (“the ’445 patent”) to Li et al.
`
`2.
`
`In the preparation of this declaration, I have studied:
`
`(1) The ’445 Patent, Ex. 1001;
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`(2) Declaration of Dr. Sylvia Hall-Ellis, Ph.D., Ex. 1008;
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`(3) U.S. Patent No. 6,018,528 to Rich Gitlin (“Gitlin”), Ex. 1010;
`
`(4) Van Nee, et al. “OFDM for Wireless Multimedia Communications”
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`(1999) (“Van Nee”), Ex. 1011;
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`(5) U.S. Patent No. 6,473,467 to Mark Wallace (“Wallace”), Ex. 1013;
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`(6) Lajos Hanzo et al., “Single- and Multi-carrier Quadrature Amplitude
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`Modulation: Principles and Applications for Personal
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`Communications, WLANs and Broadcasting” (1999) (“Hanzo”) , Ex.
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`1014;
`
`(7) Theodore Rappaport, “Wireless Communications: Principles &
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`Practice” (1995) (“Rappaport”), Ex. 1016;
`
`(8) U.S. Patent No. 6,985,433 to Laroia (“Laroia”), Ex. 1018;
`
`(9) U.S. Patent No. 6,006,075 to Smith et al. (“Smith”), Ex. 1019;
`
`(10) U.S. Patent No. 6,657,949 to Jones et al. (“Jones”), Ex. 1020;
`
`(11) U.S. Patent No. 6,067,290 to Paulraj et al. (“Paulraj”), Ex. 1021; and
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`(12) Yiyan Wu et al., Orthogonal Frequency Division Multiplexing: A
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`Multi-Carrier Modulation Scheme, IEEE Transactions on Consumer
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`Electronics, Vol. 41, No. 3 (Aug. 1995), Ex. 1022;
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`(13) Prosecution history of 8,934,445 Patent, Ex. 1023; and
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`(14) Wong et al., “Multiuser OFDM with Adaptive Subcarrier, Bit, and
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`Power Allocation,” IEEE Journal on Selected Areas in
`
`Communications, pp. 1747-1758, October 1999, Ex. 1024.
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`(15) Hermann Rohling and Rainer Grunheid, “Performance Comparison of
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`Different Multiple Access Schemes for the Downlink of an OFDM
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`Communication System,” IEEE Vehicular Technology Conference,
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`1997 IEEE 47th Vol. 3, pp. 1365-1369, May 7, 1997, Ex. 1025.
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`3.
`
`In forming the opinions expressed below, I have considered:
`
`(1) The documents listed above, and
`
`(2) My knowledge and experience based upon my work in this area as
`
`described below.
`
`I.
`
`Qualifications
`
`4.
`
`I am a Distinguished Service Professor of Electrical and Computer
`
`Engineering at Stevens Institute of Technology in Hoboken, NJ. I have studied
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`and practiced in the fields of electrical engineering, computer engineering, and
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`computer science for over 40 years, and have been a professor of electrical and
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`computer engineering since 2002.
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`5.
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`I received my Masters of Engineering (M.E.) degree in the field of
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`Electrical Engineering from Stevens Institute of Technology in 1974 and my
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`Bachelor of Engineering (B.E.) degree in Electrical Engineering in 1971 from
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`Stevens as well.
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`6.
`
`I am the Founder and Chief Technology Officer of Novidesic
`
`Communications, LLC, a technology consulting company. Prior to starting
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`Novidesic and joining the faculty at Stevens in 2002, I spent 24 years at AT&T
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`Bell Laboratories. My most recent work there included research into next
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`generation (4G and beyond) wireless data communications systems, including
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`high-speed, high mobility wide area networks as well as range and speed
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`extensions to 802.11(a & b) wireless LANs and dynamic channel assignment in
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`cellular systems. My research required the examination of physical layer wireless
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`protocols and channel measurement techniques. Before that, my activities
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`included development of encryption hardware, secure voice architecture studies,
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`high-speed voice-band modems, and public data network protocols.
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`7.
`
`Before joining Bell Labs, I spent seven years developing military
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`communications systems for the US Army Electronics Command and ITT Defense
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`Communications Division. My responsibilities included cryptographic and ECCM
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`techniques for portable radio systems, TEMPEST technology, and state-of-the-art
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`speech compression techniques.
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`8.
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`Since becoming a faculty member in 2002 (and even before) I have
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`published over 20 technical publications in scientific journals or conferences in the
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`fields of digital communications and security. I have 25 U.S. patents in related
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`fields, as well as 19 associated international patents. As part of my research as a
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`professor and previously at Bell Labs, I have developed and implemented many
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`different wireless communications devices with physical layer protocols similar to
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`the concepts of the ‘445 patent and which I explain in more detail below. My
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`teaching at Stevens Institute of Technology has included a graduate course in
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`Physical Design of Wireless Communications Systems and an undergraduate
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`course in Electronic Circuits, which include coverage of wireless systems. My
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`Bell Labs research included study of Orthogonal Frequency Division Multiplexing,
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`a technology directly addressed in the ‘445 patent.
`
`9.
`
`I am a Life Senior Member of the IEEE and belong to the
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`Communications and Signal Processing Societies. I have served as the Secretary
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`of the IEEE Communications Society Communications Security Committee.
`
`10.
`
`I have also been an amateur radio operator since 1963 and have held
`
`the Extra Class amateur radio license, the highest level of amateur radio license,
`
`since 1970. My research and experimentation as an amateur radio operator are
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`directly related to the relevant technology of the patent. Through student research
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`projects at Stevens, I have sought to apply OFDM to transmission of data via
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`amateur radio.
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`11.
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`I make this declaration based on personal knowledge and I am
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`competent to testify about the matters set forth herein.
`
`12. My professional background and technical qualifications are stated
`
`above and are also reflected in my Curriculum Vitae, which is attached as Ex.
`
`1007.
`
`I am being compensated at a rate of $650.00 per hour, with reimbursement
`
`for actual expenses, for my work related to this Petition for Inter Partes Review.
`
`My compensation is not dependent on and in no way affects the substance of my
`
`statements in this Declaration.
`
`13.
`
`I have worked and/or consulted for more than 40 years in the field of
`
`Electrical Engineering. My primary focus has been on wireless communications
`
`and network security. I have authored and co-authored numerous technical (journal
`
`and conference) papers related to wireless communication networks. I am an
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`inventor or co-inventor on 25 U.S. and 19 international issued patents in the fields
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`of communications security and wireless networks, with about 8 other patents still
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`pending.
`
`14. My employment history following my graduation from Stevens
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`Institute of Technology began at the U.S. Army Electronics Command at Fort
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`Monmouth in 1971 where I worked on digital wireless communications for
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`military tactical radios. I also worked at ITT Defense Communications Division
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`before joining AT&T Bell Laboratories in 1978. While at ITT, I was involved in
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`digital system and speech signal processing for secure communications systems.
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`At AT&T Bell Laboratories, I developed next generation networks, encryption
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`hardware and speech processing systems. Beginning in 1994, I joined the Wireless
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`System Research Department where I pursued research on OFDM and other
`
`advanced wireless communications techniques. I note that I worked directly for
`
`Dr. Richard Gitlin, one of inventors of prior art reference Ex. 1010 in the early
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`1980s and again starting in 1994. My work in the Wireless Systems Research
`
`Department included the design and implementation of an OFDM communications
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`system described in several of my publications from late 1999 and early 2000.
`
`15. Before joining Stevens in 2002, I was extensively involved in
`
`teaching short courses in the areas of data communications networks, including an
`
`in-house program at AT&T Bell Labs. At Stevens, I have developed and taught a
`
`number of undergraduate and graduate courses listed in my curriculum vitae.
`
`Courses most relevant to the subject patent include a graduate course, EE585,
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`Physical Design of Wireless Systems, and undergraduate courses, EE359,
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`Electronic Circuits and EE/CpE-423/424, Design 7 and 8 for Electrical and
`
`Computer Engineers. In these courses, I introduce students to the signal
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`processing and design considerations of OFDM and other multicarrier systems. I
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`have also advised students as they attempt to design these types of systems.
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`16. As I have listed in my curriculum vitae, I have presented my research
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`in the area of OFDM system design at various IEEE technical conferences and
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`IEEE journals. I have also presented invited talks in this area in numerous
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`technical meetings.
`
`17. My work in the field of electrical engineering has been recognized by
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`the NJ Inventors Hall of Fame (Inventor of the Year – 2012), Stevens Institute of
`
`Technology (Henry Morton Distinguished Teaching Professor – 2013-2014 and
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`Schaefer School of Engineering Undergraduate Teaching Award – 2008), and
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`Alcatel-Lucent Bell Labs (Bell Labs Prize Finalist – 2014).
`
`18. A copy of my curriculum vitae is attached as Ex. 1007. Additional
`
`information regarding my education, technical experience and publications,
`
`including a list of the US patents of which I am an inventor/co-inventor, is
`
`included therein.
`
`II. My Understanding of the Relevant Legal Standards
`
`19.
`
`I have been asked to provide my opinions regarding whether the
`
`challenged claims of the ’445 patent are anticipated or would have been obvious to
`
`a person having ordinary skill in the art at the time of the alleged invention of the
`
`patent, in light of the prior art. I am not an attorney and provide no opinion on law.
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`The following legal standard has been provided to me by the Petitioner’s counsel.
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`A. Anticipation
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`20.
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`It is my understanding that, to anticipate a claim under 35 U.S.C.
`
`§ 102, a single prior art reference must disclose each and every element of the
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`claim at issue, either expressly or inherently. It is my understanding that a
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`limitation is inherently disclosed by a prior art reference if the reference must
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`necessarily function in accordance with, or include, the limitation in the context of
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`the patented technology.
`
`B. Obviousness
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`21.
`
`It is my understanding that a claimed invention is unpatentable under
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`35 U.S.C. § 103 if the differences between the invention and the prior art are such
`
`that the subject matter as a whole would have been obvious at the time the
`
`invention was made to a person having ordinary skill in the art to which the subject
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`matter pertains. I also understand that the obviousness analysis takes into account
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`factual inquiries including the level of ordinary skill in the art, the scope and
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`content of the prior art, and the differences between the prior art and the claimed
`
`subject matter.
`
`22.
`
`I have been informed that the Supreme Court has recognized several
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`rationales for combining references or modifying a reference to show obviousness
`
`of a claimed subject matter. I understand that some of these rationales include the
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`following: combining prior art elements according to known methods to yield
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`predictable results; simple substitution of one known element for another to obtain
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`predictable results; use of a known technique to improve a similar device (method,
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`or product) in the same way; applying a known technique to a known device
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`(method, or product) ready for improvement to yield predictable results; choosing
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`from a finite number of identified, predictable solutions, with a reasonable
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`expectation of success; and some teaching, suggestion, or motivation in the prior
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`art that would have led one of ordinary skill to modify the prior art reference or to
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`combine prior art reference teachings to arrive at the claimed invention.
`
`III. Level of Ordinary Skill in the Art
`
`23.
`
`I am familiar with the technology claimed in the ’445 Patent. I am
`
`also aware of the state of the art at the time that the ’445 Patent was filed. The
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`earliest priority date of the ’445 Patent is December 15, 2000. Based on the
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`technologies disclosed
`
`in
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`the
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`’445 patent and my experience
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`in
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`the
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`communications field, one of ordinary skill in the art would have a B.S. degree in
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`Electrical Engineering, Computer Engineering, or equivalent training, with at least
`
`three to four years of experience in wireless communication technology, or a
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`Master’s degree in electrical engineering or an equivalent degree, with at least two
`
`years of experience in wireless communication technology. Such a person would
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`be familiar with various well-known communication methodologies, multiple
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`access protocols, and transmission techniques. For example, that person would be
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`familiar with basic messaging protocols for passing control information between a
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`base station and a subscriber unit. As another example, one of ordinary skill would
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`have understood basic principles of FDM/OFDM, FDMA/OFDMA, and adaptive
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`coding and modulation.
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`24. That person would also be familiar with the concepts of multipath
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`propagation and fading, frequency selective fading, and frequency diversity. Also,
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`one of ordinary skill in the art would know how to apply these different techniques
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`to different communication systems and networks employing wireless
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`communications. Each technique is associated with known advantages and
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`disadvantages, such as speed, complexity, and cost, and a person of ordinary skill
`
`in the art would know how to choose from among the different techniques to
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`balance the various goals of the communication systems and networks under
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`consideration. My opinions with respect to the ‘445 Patent and the prior art
`
`referenced here are based on what a person of ordinary skill in the art would have
`
`perceived at the time of invention of the ‘445 Patent. Unless otherwise stated,
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`when I provide my understanding and analysis below, it is consistent with the level
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`of one of ordinary skill in these technologies at and around the priority date of the
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`’445 patent. In addition, I had at least the training, experience and background of a
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`person of ordinary skill in the art at the time of the alleged invention of ‘445
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`patent. I have also supervised engineers with the requisite experience before,
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`during, and after the time period when the ‘445 patent was developed. Further, I
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`have encountered numerous students with this level of experience in my teaching
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`career.
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`IV. Technical Background and State of the Art
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`25. To facilitate the discussion pertaining to my specific findings and
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`opinions with respect to the ‘445 Patent, I provide the following brief technological
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`background explaining some basic telecommunications concepts as were known at
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`the time of the alleged invention of the ‘445 Patent, including basic cellular
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`concepts, FDM/OFDM, FDMA/OFDMA, coding and modulation, and adaptive
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`channel allocation, and with which one of ordinary skill in the art would have been
`
`intimately familiar.
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`A. Cellular Telecommunications
`
`26. Cellular telecommunications systems rely on a base station and
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`remote station being able to “speak the same language” in order to communicate
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`over a wireless transmission medium. In other words, the receiver must understand
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`how to interpret the received data that is being transmitted by the transmitter. This
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`means the remote station needs to be able to synchronize to the transmissions of
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`the base station, must know which wireless channels to transmit on or receive
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`from, and must know how the data is being encoded onto the radio waves by the
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`base station, and vice versa. Depending on the technology, this type of information
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`would have been typically either known in advance by the mobile station or
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`communicated to the mobile station via control messaging or other signaling.
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`27.
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`In typical telecommunications systems, frequency bandwidth is a
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`limited resource. Frequency resources are typically allocated based on an access
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`protocol. Well-known communication technologies at the time of filing of the ‘445
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`Patent included FDM, OFDM, FDMA, and OFDMA. In addition, the concepts of
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`modulation and coding, frequency diversity, and adaptive channel allocation were
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`fundamental wireless communication concepts at the time of the ‘445 Patent. Each
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`of these concepts are explained briefly below.
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`B.
`
`FDM/OFDM
`
`28. The basic concept of Frequency Division Multiplexing was a well-
`
`known method of dividing the overall system bandwidth into frequency channels
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`(“subcarriers”). See Ex. 1018, at 1:19-22 (“In Frequency Division Multiplexing
`
`(FDM) communication systems, the available spectral bandwidth W is divided into
`
`a number of spaced sub-carriers, f1, . . . , fN, which are used to transmit
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`information.”). The frequency channels in an ordinary FDM system consist of non-
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`overlapping frequency bands with small, unused bandwidths between adjacent
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`frequency bands called “guard bands.” By using guard bands, the receiver can
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`receive the transmission of information without significant interference from the
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`adjacent channels.
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`29. One type of FDM is Orthogonal FDM (“OFDM”). Id. at 1:30-32
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`(“Orthogonal Frequency Division Multiplexing (OFDM) is one particular example
`
`of FDM.”). As in ordinary FDM, in OFDM there is a finite number of carrier
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`frequencies that are available for use during communications. OFDM provided
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`substantial improvements in spectral efficiency over ordinary FDM systems by
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`eliminating the guard band, which allowed the subcarrier frequencies to be packed
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`closer together, resulting in more efficient utilization of the radio spectrum.
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`30. Similar to ordinary FDM, OFDM’s operational principle is that a
`
`bandwidth is divided into multiple subcarrier frequencies that are used to transmit
`
`information. See id. at 1:65-2:1 (“In the OFDM system [. . .], the analog signal to
`
`be amplified [i.e., the OFDM signal] is the sum of many sinusoid waveforms, e.g.,
`
`sub-carrier signal.”).
`
`31.
`
`In an OFDM system, each subcarrier in an OFDM system is arranged
`
`to be mathematically orthogonal with each other, such that the spectral shape of the
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`individual subcarriers are zero at the other subcarrier frequencies and interference
`
`does not occur between subcarriers. See Ex. 1011, at 33-39; Figure 2.3. This
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`mathematical property allows the subcarriers to overlap, as illustrated in the
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`following Figure reproduced from Van Nee:
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`Ex. 1011, at 35; see also id. at 33-39 for a more technical description of the
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`orthogonality of OFDM subcarriers.
`
`32. As mentioned above, in OFDM systems, the subcarriers are permitted
`
`to “overlap” with one another in the frequency domain, so long as the
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`orthogonality of the subcarriers is maintained. The overlap provides for a more
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`efficient use of the frequency spectrum, i.e., it allows a larger amount of
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`information to be transmitted in a given bandwidth. See, e.g., Ex. 1011, at 20-22.
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`33. Consequently, the OFDM transmission technique provides greater
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`spectral efficiency as compared to the ordinary FDM technique (a comparison of
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`the two techniques is set forth above in the reproduction of Figure 1.10 from Van
`
`Nee). OFDM has numerous advantages that would have been well known to one of
`
`ordinary skill in the art. See, e.g., Ex. 1020, at 1:66-2:2 (“Orthogonal frequency
`
`division multiplexing (OFDM) systems offer significant advantages in many real
`
`world communication systems, particularly in environments where multipath
`
`effects impair performance.”). These advantages include, for example, making
`
`efficient use of bandwidth, reducing interference caused by multipath propagation
`
`effects, and reducing intersymbol interference. Additional advantages that would
`
`have been known to one of ordinary skill in the art are set forth in my detailed
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`analysis below.
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`C.
`
`FDMA/OFDMA
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`34. Many techniques are known in the art that enable multiple users to
`
`efficiently share a transmission medium using schemes for assignment of those
`
`resources to different accessing subscribers (for example, TDMA, FDMA, CDMA,
`
`or OFDMA). Allocating different users traffic channels over different frequency
`
`subcarriers is known as Frequency Division Multiple Access (FDMA).
`
`35. One type of FDMA that was well known in the art is Orthogonal
`
`Frequency Division Multiple Access (OFDMA). OFDMA uses the basic format of
`
`OFDM to form the subcarriers, which may then be shared among multiple
`
`subscribers simultaneously. As noted in the Background of the ’445 patent,
`
`OFDMA is a method for multiple access using the basic method of orthogonal
`
`frequency division multiplexing (OFDM). Ex. 1001, at 1:51-53.
`
`36.
`
`It was well known that OFDMA could be combined with various
`
`other multiple access techniques to provide an improved wireless system. For
`
`example, U.S. Patent No. 6,067,290 (“Paulraj”) specifically discloses that it was
`
`obvious to those skilled in the art to combine OFDMA with numerous other
`
`multiple access methods. See Ex. 1021, at Figs. 9-12 (illustrating TDMA, FDMA,
`
`CDMA, and SDMA embodiments); id. at 32:38-47 (noting that “[a]lthough FIGS.
`
`9-12 show four distinct multiple access methods, it will be obvious to those skilled
`
`in the art that each of these may be combined with one or more of the others
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`without departing from the scope of this invention, as well as with such multiple
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`access methods as: orthogonal frequency division multiple access (OFDMA),
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`wavelength division multiple access (WDMA), wavelet division multiple access,
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`or any other orthogonal division multiple access/quasi-orthogonal division multiple
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`access (ODMA) techniques.”).
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`37. Aside from the use of OFDM to create orthogonal frequencies, one of
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`ordinary skill in the art would have understood that OFDMA is basically
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`equivalent to ordinary FDMA from a multiple access perspective. This conclusion
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`is supported by Van Nee, which explains that OFDMA “is equal to ordinary
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`frequency division multiple access (FDMA); however, OFDMA avoids the
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`relatively large guard bands that are necessary in FDMA to separate different
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`users.” Ex. 1011, at 213. As explained above, the elimination of guard bands is
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`provided through the use of OFDM to produce mathematically orthogonal
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`subcarriers.
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`D.
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`Frequency Diversity
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`38. One of ordinary skill would have also been familiar with the concept
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`of diversity in general, and frequency diversity in particular. As explained by
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`Rappaport, diversity “exploits the random nature of radio propagation by finding
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`independent (or at least highly uncorrelated signal paths) for communication.” Ex.
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`1016, at 325. “The diversity concept can be explained simply. If one radio path
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`undergoes a deep fade, another independent path may have a strong signal.” Id.
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`With reference to a frequency spectrum divided into multiple frequency channels,
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`the concept that different channels have differing channel responses is known as
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`frequency selective fading. Id. at 169-170 (explaining that “[f]requency selective
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`fading channels are also known as wideband channels since the bandwidth of the
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`signal s(t) is wider than the bandwidth of the channel impulse response”). One of
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`ordinary skill would have recognized that diversity “is a powerful communication
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`receiver technique that provides wireless link improvement at relatively low cost.”
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`Id.
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`39. Rappaport confirms that a coherence bandwidth is “a statistical
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`measure of the range of frequencies over which the channel can be considered
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`‘flat’ (i.e., a channel which passes all spectral components with approximately
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`equal gain and linear phase).” Id. at 163. With respect to frequency diversity in
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`particular, one of ordinary skill in the art would have understood that the “rationale
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`behind this technique is that frequencies separated by more than the coherence
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`bandwidth of the channel will not experience the same fades. Theoretically, if the
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`channels are uncorrelated, the probability of simultaneous fading will be the
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`product of the individual fading probabilities.” Id. at 335; see also Ex. 1019, 3:50-
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`54 (“[W]hen successive carriers upon which successive bursts of a communication
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`signal are transmitted are of similar fading characteristics, little frequency diversity
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`is created. The coherence bandwidth is a frequency range which exhibits similar
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`fading characteristics. . . . Appropriate selection of the carriers upon which to
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`transmit successive bursts of
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`the communication signal would
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`therefore
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`advantageously better overcome the deleterious effects of multi-path fading.”).
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`Accordingly, one of ordinary skill in the art would have readily understood that
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`obtaining frequency diversity was one advantageous way to combat frequency
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`selective fading.
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`E. Coding and Modulation
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`40. Another concept that would have been well known to skilled artisans
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`at the time of invention is the concept of coding and modulation. I will provide a
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`brief explanation of these concepts below.
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`41. Modulation: To understand this concept, it is first important to note
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`that information in a wireless medium is transmitted using radio waves, which
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`have a particular frequency, amplitude, and phase. Information can be conveyed on
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`radio waves by changing the waveform of the transmitted radio wave in such a
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`way that the changes in the radio wave can be interpreted as information by the
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`receiver of that radio wave based on detecting the waveform. For example, a
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`receiver can be configured to know that a radio wave having a particular
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`frequency, phase, and amplitude should be interpreted to have a certain meaning.
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`As a simple example, a wave having a positive phase might be interpreted as the
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`binary value ‘1’, while that same wave having a different phase might be
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`interpreted as the binary value of ‘0.’ The act of producing a waveform to have
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`properties that can be interpreted by the receiver as data is called “modulation.”
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`42. The number of distinct waveforms that a receiver can detect
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`determines how much digital information can be conveyed. For example, a
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`receiver may be configured to detect up to 4 different possible waveforms in a
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`particular radio transmission. Because there are four possibilities, each of those
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`waveforms can be associated with a particular number between 1 and 4, or may
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`represent a sequence of bits, e.g., 00, 01, 10, or 11. This effectively allows 2 bits of
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`information to be transmitted at once (i.e., as one transmitted symbol). In fact, this
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`is a well-known modulation called “QPSK.” More advanced receivers can
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`differentiate between even more possible waveforms, resulting in “higher order
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`modulation” than QPSK. The possible waveforms in a given modulation format
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`are typically described as “constellations.” The following figure from Van Nee
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`illustrates various modulation formats as constellations, including QPSK, 16-
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`QAM, and 64 QAM:
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`Ex. 1011, at 61.
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`43.
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`In the case of basic QPSK modulation, there are four different
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`signaling alternatives that allows for the transmission of up to 2 bits of information
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`during each transmission interval (i.e., transmitted symbol). By increasing the
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`signaling alternatives to 16 (known as 16QAM modulation), the transmission may
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`now contain 4 bits of information during each transmitted symbol. The signaling
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`alternatives may
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`increase
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`to 64 different signaling alternatives (64QAM
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`modulation) that allows for a transmission of 6 bits of information during each
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`transmitted symbol. Note, however, that even though the higher-order modulation
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`schemes provides the possibility of higher bandwidth utilization through higher
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`data rates, the higher-order modulation schemes provide less robustness against
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`noise and interference. This is because, in the presence of noise and/or
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`interference, there is a larger probability of the receiver making an error in
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`detection when the higher order modulation schemes are employed. Modulation is
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`described in more detail by Van Nee (Ex. 1011), at 60-62.
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`44. Coding: At a high level, coding is a way to add redundancy to a
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`transmitted sequence of bits in order to account for the inherent losses and errors in
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`transmitted information that are likely to occur due to the nature of a wireless
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`propagation environment. This is explained, for example, by a chapter on Coding
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`and Modulation in the Van Nee textbook. See Ex. 1011, at 53 (describing that “in a
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`multipath fading channel, all subcarriers will arrive at the receiver with different
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`amplitudes. In fact some subcarriers may be completely lost because of deep
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`fades.”). As noted by Van Nee, the nature of the interference is frequency
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`dependent. See id. As mentioned above, this concept was commonly known as
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`frequency-selective fading. The underlying cause is that in a multi-path
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`propagation environment, the environment will affects signals of differing
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`frequencies differently.
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`45. Coding introduces redundancy to a data stream, so that the receiver
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`can detect and/or correct errors in the received data. Such redundancy is used to
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`overcome the effects of noise, interference, and fading. See id. (“To avoid this
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`domination by the weakest subcarriers, forward-error correction coding is
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