`
`
`UNITED STATES PATENT AND TRADEMARK OFFICE
`________________
`
`BEFORE THE PATENT TRIAL AND APPEAL BOARD
`________________
`
`LG ELECTRONICS, INC.
`Petitioner,
`v.
`CONSTELLATION DESIGNS, LLC
`Patent Owner.
`________________
`
`Case IPR2023-00319
`U.S. Patent 10,693,700
`
`________________
`
`
`PETITIONER’S REPLY TO PATENT OWNER RESPONSE
`
`
`
`
`
`
`
`
`
`
`
`Proceeding No.: IPR2023-00319
`IPR of U.S. Patent No. 10,693,700
`
`
`TABLE OF CONTENTS
`
`I.
`II.
`
`Introduction ...................................................................................................... 1
`The ’700 Patent does not describe “each of the plurality of different non-
`uniform multidimensional symbol constellations is capable of providing a
`greater parallel decoding capacity at a specific SNR than the other symbol
`constellations in the plurality of multidimensional symbol constellations at
`the same SNR”. ................................................................................................ 2
`A. The ’700 patent provides no description of optimizing a
`multidimensional symbol constellation (e.g., QAM constellation) that is
`created from a one-dimensional symbol constellation (e.g., PAM) ......... 5
`B. The ’700 patent fails to disclose that an optimized PAM used to form a
`QAM yields an optimized QAM. ........................................................... 11
`C. Patent Owner only points to evidence of 1D constellations being
`optimized, which is not enough to support claims 5, 15, and 25 ........... 14
`D. There is no comparison of parallel decoding capacity between different
`non-uniform multidimensional symbol constellations ........................... 19
`III. Conclusion ..................................................................................................... 21
`
`
`i
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`
`EXHIBITS
`
`LGE1001
`
`
`
`U.S. Patent No. 10,693,700
`
`
`
`LGE1002
`
`LGE1003
`
`LGE1004
`
`LGE1005
`
`LGE1006
`
`LGE1007
`
`LGE1008
`
`LGE1009
`
`LGE1010
`
`LGE1011
`
`LGE1012
`
`LGE1013
`
`LGE1014
`
`Prosecution History for U.S. Patent No. 10,693,700
`
`Expert Declaration of Dr. Bertrand Hochwald
`
`RESERVED
`
`RESERVED
`
`RESERVED
`
`RESERVED
`
`Ulrich Reimers et al., DVB The Family of International
`Standards for Digital Video Broadcasting, Second Edition,
`2005 (“Ulrich”)
`
`RESERVED
`
`U.S. Provisional application No. 60/933,319 (“’319
`Provisional”)
`
`Declaration of June Munford (ATSC322)
`
`Second Stipulation by Petitioner, LGE, Constellation Designs,
`LLC v. LG Electronics, Inc. et al, Case No. 2:21-cv-00448
`(E.D. Tex.)
`
`RESERVED
`
`De Gaudenzi et al., Turbo-coded APSK modulations design for
`satellite broadband communications, Int. J. Satell. Commun.
`Network. 2006; 24:261–281, Published online 19 May 2006 in
`Wiley InterScience (“DeGaudenzi”)
`
`ii
`
`
`
`LGE1015
`
`LGE1016
`
`LGE1017
`
`LGE1018
`
`LGE1019
`
`LGE1020
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`Proceeding No.: IPR2023-00319
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`
`U.S. Patent No. 7,978,777
`
`RESERVED
`
`RESERVED
`
`Memorandum, Interim Procedure for Discretionary Denials in
`AIA Post-Grant Proceedings with Parallel District Court
`Litigation (USPTO June 21, 2022) (“Interim Procedure”)
`
`Docket Control Order, Constellation Designs, LLC v. LG
`Electronics, Inc. et al, Case No. 2:21-cv-00448 (E.D. Tex.)
`
`Complaint, Constellation Designs, LLC v. LG Electronics, Inc.
`et al, Case No. 2:21-cv-00448 (E.D. Tex.)
`
`LGE1021
`
`RESERVED
`
`LGE1022
`
`LGE1023
`
`LGE1024
`
`LGE1025
`
`LGE1026
`
`LGE1027
`
`LGE1028
`
`ATSC Recommended Practice: Guidelines for the Physical
`Layer Protocol, Document no. A/327:2018
`
`ATSC 3.0 Standard: Physical Layer Protocol, Document no.
`A/322:2018
`
`Loghin, et al., Non-Uniform Constellations for ATSC 3.0, IEEE
`Transactions on Broadcasting, Vol 62, No. 1, March 2016.
`(“Loghin”)
`
`G. Ungerboeck, Channel Coding with Multilevel/Phase Signals,
`IEEE Trans. Inform. Theory, Vol. IT-28, No. 1, Jan. 1982, pp.
`55-67 (“Ungerboeck”)
`
`Declaration of June Munford (ATSC327)
`
`Declaration of June Munford (DG)
`
`Declaration of June Munford (Loghin)
`
`iii
`
`
`
`LGE1029
`
`LGE1030
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`
`Second Declaration of Dr. Bertrand Hochwald
`
`Muela, Manuel Fuentes, Non-Uniform Constellations for Next-
`Generation Digital Terrestrial Broadcast Systems,
`Departamento de Comunicaciones Universitat Politècnica de
`València, June 2017 (“Fuentes”)
`
`LGE1031
`
`Proakis, John G. Digital Communications, Fourth Edition, 2000
`(“Proakis”)
`
`iv
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`
`Introduction
`LG Electronics, Inc. (“Petitioner” or “LGE”) submits this Petitioner Reply
`
`
`I.
`
`in response to the Patent Owner’s Response (“POR”) in IPR2023-00319, which
`
`challenges the validity of U.S. Patent No. 10,693,700 (“the ’700 patent”). As
`
`explained below, claims 5, 11, and 251 do not have written description support in the
`
`’700 patent, and thus are not entitled to the earlier June 5, 2007 priority date.
`
`Consequently , the ’700 patent should be assigned a priority date of December 23,
`
`2019, the filing date of the ’700 patent. And because Constellation Designs, LLC
`
`(“Patent Owner”) fails to address the substance of the 35 USC § 103 invalidity
`
`challenge against claims 5, 15, and 25 based on the combination of U.S. Patent No.
`
`7,978,777 (the “’777 patent”) and ATSC327 in the POR, and instead focuses on
`
`attempting to establish written description support and an earlier priority date for the
`
`’700 patent (which as explained herein the ’700 patent is not entitled to), claims 5,
`
`15, and 25 should be found unpatentable.
`
`As explained below, Patent Owner has failed to show written description
`
`support for claims 5, 15, and 25 in the ’700 Patent at least because:
`
`
`
` Claims 5 ,15, and 25 are the only remaining claims at issue because Patent Owner
`
` 1
`
`disclaimed the other challenged claims (claims 2, 3, 12, 13, 22, and 23). POR, 2.
`
`1
`
`
`
`(1) The ’700 patent does not describe “each of the plurality of different non-
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`Proceeding No.: IPR2023-00319
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`uniform multidimensional symbol constellations is capable of providing a
`
`greater parallel decoding capacity at a specific SNR than the other symbol
`
`constellations in the plurality of multidimensional symbol constellations at
`
`the same SNR,” as recited in feature [5];
`
`(2) The ’700 patent provides no description of optimizing a multidimensional
`
`symbol constellation (e.g., QAM constellation) that is created from a one-
`
`dimensional symbol constellation (e.g., PAM);
`
`(3) The ’700 patent fails to disclose that an optimized PAM used to form a
`
`QAM yields an optimized QAM; and
`
`(4) The ’700 patent fails to disclose a comparison between the parallel
`
`decoding capacities of different non-uniform multidimensional
`
`constellations.
`
`II. The ’700 Patent does not describe “each of the plurality of different
`non-uniform multidimensional symbol constellations is capable of
`providing a greater parallel decoding capacity at a specific SNR than
`the other symbol constellations in the plurality of multidimensional
`symbol constellations at the same SNR.”
`Patent Owner contends that there are two approaches for optimizing
`
`multidimensional QAM constellations. POR, 25-26. The first approach “for
`
`optimizing a multidimensional QAM constellation is to directly optimize over each
`
`degree of freedom.” POR, 25-26. The second approach “is to first optimize a PAM
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`2
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`constellation, then apply that PAM constellation to both of the in-phase and
`
`quadrature components.” POR, 26 (citing to EX1001 at 3:25-34; 12:42-67 and
`
`EX1015 at 3:9-19, 12:11-37); EX2001, 26; LGE1029, ¶¶0006-0007.
`
`With respect to the first approach, the ’700 patent is devoid of any details for
`
`directly optimizing each degree of freedom. In fact, the ’700 patent explicitly notes
`
`that “[t]he complexity of the optimization step grows exponentially in the number
`
`of dimensions as does the complexity of the resulting receiver de-mapper.” 2
`
`LGE1001, 13:1-11. The ’700 patent provides no details of the additional complexity
`
`of the receiver demapper or other details of the complex optimization steps. Patent
`
`Owner points to one paragraph to argue that this first approach is supported (see
`
`LGE1001, 13:1-11), but this paragraph fails to describe or explain whether the
`
`optimization is for uniform or non-uniform multi-dimensional constellations, and
`
`whether there is any difference in optimizing the two types of constellations. Thus,
`
`such disclosure cannot be relied upon as written description support for feature [5],
`
`which is directed to “non-uniform multidimensional symbol constellations.”
`
`LGE1029, ¶¶0006-0007.
`
`Seemingly recognizing the lack of disclosure of the first approach in the ’700
`
`patent, Patent Owner focuses on the second approach in its POR for written
`
`
`
` Bolding and italicized font added for emphasis here and throughout this reply.
`
` 2
`
`3
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`description support. POR, 25-33, 42-45; LGE1029, ¶¶0006-0007. However, a
`
`careful review of the ’700 patent, reveals that even the second optimization
`
`approach (even if true, which Petitioner does not concede) is not described in the
`
`’700 patent. LGE1029, ¶¶¶0006-0007.
`
`For example, for the second approach, Patent Owner focuses on two portions
`
`of the ’700 patent, but these portions disclose how a QAM constellation can be
`
`created from a PAM constellation, not how a QAM constellation is optimized.
`
`LGE1001, 3:25-34 (“creating an orthogonalized PAM constellation using the
`
`geometrically shaped PAM constellation, and combining the geometrically shaped
`
`PAM constellation and the orthogonalized PAM constellation to produce a
`
`geometrically shaped QAM constellation”), 12:42-67. The mere disclosure of
`
`creating a QAM constellation from a PAM constellation does not teach optimizing
`
`a multidimensional QAM constellation such that “each of the plurality of different
`
`non-uniform multidimensional symbol constellations is capable of providing a
`
`greater parallel decoding capacity at a specific SNR than the other symbol
`
`constellations in the plurality of multidimensional symbol constellations at the same
`
`SNR,” as recited in claim 5. LGE1029, ¶0021. As is explained below, none of the
`
`descriptions of the creation of a multidimensional QAM constellation from
`
`orthogonalized single-dimension PAM constellations discloses
`
`the claimed
`
`multidimensional QAM constellations and associated characteristics (e.g., parallel
`
`4
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`
`
`decoding capacity and SNR). LGE1029, ¶0021.
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`A. The ’700 patent provides no description of optimizing a
`multidimensional symbol constellation (e.g., QAM constellation)
`that is created from a one-dimensional symbol constellation (e.g.,
`PAM)
`The ’700 patent explains that “[d]ue to the orthogonality of the in-phase and
`
`quadrature components the capacity characteristics of the resulting QAM-64
`
`constellation are identical to that of the PAM-8 constellation on a per-dimension
`
`basis.” LGE1001, 12:64-67; LGE1015, 12:33-37. The newly created QAM
`
`constellation
`
`is not an optimized multidimensional constellation, but a
`
`multidimensional constellation that includes individual rows or columns that were
`
`optimized. Patent Owner does not acknowledge this distinction. LGE1029, ¶¶0008-
`
`0017, 0025-0027.
`
`As Dr. Hochwald explains, it was well-known in the art that 2D constellations,
`
`such as a QAM constellation, could be created by orthogonalizing two 1D
`
`constellations, such as a PAM constellation. LGE1029, ¶¶0008-0017. Indeed, using
`
`the annotated figures Patent Owner produced in the POR as shown below, when a
`
`column of a QAM constellation is compared to a row of a QAM constellation (“per-
`
`dimension basis”), the capacity characteristics may be the same. LGE1029, ¶¶0008-
`
`0017, 0025-0027.
`
`5
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`
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`POR, 27-28 (showing annotated FIG. 21 of LGE1001).
`
`Similarly, when a singular column or row of the QAM constellation is
`
`compared to the original PAM constellation used to create the QAM constellation,
`
`that row or column has the same capacity characteristics as the PAM constellation.
`
`As shown above, the individual highlighted rows or columns are copies of the PAM
`
`constellation. Thus, “the capacity characteristics of the resulting QAM-64
`
`constellation are identical to that of the PAM-8 constellation on a per-dimension
`
`basis.” LGE1001, 12:64-67. However, the QAM constellation, as a whole, is not
`
`necessarily optimized. Indeed, it is necessarily incorrect that the capacity
`
`characteristics of a PAM and a QAM are the same. In the example of PAM-8 and
`
`QAM-64, the PAM-8 constellation has 3 bits per symbol and the QAM-64
`
`constellation has 6 bits per symbol. Thus, their respective capacity characteristics
`
`are necessarily different. Yet, the statement in 12:64-67 of the ’700 patent holds true
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`6
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`only when the two constellations are compared “on a per-dimension basis.” That
`
`is, when the capacity characteristics of a singular column or row of the QAM-64
`
`constellation are compared to the capacity characteristics of the PAM-8 constellation
`
`used to form the QAM-64 constellation, the capacity characteristics are identical for
`
`that column or row. LGE1029, ¶¶0008-0017, 0025-0027.
`
`Indeed, the notion that 1D and 2D symbol constellations do not necessarily
`
`have the same characteristics is well understood and known in the art. Dr.
`
`Hochwald, with reference to the Fuentes reference, explains that single dimension
`
`and multidimensional constellations do not have the same capacity characteristics.
`
`For example, Fuentes explains that “2D-NUCs [(Non-Uniform Constellations)] are
`
`always a better option than 1D-NUCs from the capacity point of view. … First, the
`
`BICM capacity gain increases with the constellation order, regardless of the type
`
`of NUC used. Second, the relative gain between 2D- and 1D-NUCs is always higher
`
`for the medium range of SNRs in which each order of constellation works.
`
`Logically, the SNR range also increases with the constellation order.”3 LGE1030,
`
`
`
` Bit-Interleaved Coded Modulation (BICM) and parallel decoding capacity are
`
` 3
`
`terms that are used interchangeably in the art, as acknowledged by the Patent
`
`
`
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`7
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`75-77. Thus, Fuentes explains that a 1D-NUC (Non-Uniform Constellation) and
`
`2D-NUC do not necessarily have capacity characteristics when 1D constellations
`
`and 2D constellations (as a whole) are compared. Indeed, Fuentes teaches that the
`
`opposite is true and that SNR and capacities of 1D and 2D constellations can be
`
`different. For instance, the difference between the dashed lines and the solid lines
`
`in Fuentes’ FIG. 3.16 (reproduced below) show how different the BICM or parallel
`
`decoding capacities for various 1D and 2D NUC QAM constellations can be at
`
`various SNRs. Consequently, the parallel decoding capacity and SNR at which a
`
`1D constellation may be configured and optimized for, are not necessarily the same
`
`as the parallel decoding capacity and SNR of a 2D constellation formed from the 1D
`
`constellation. LGE1029, ¶¶0008-0017, 0025-0027.
`
`
`Owner. LG Electronics Inc. v Constellation Designs, LLC, IPR2022-01482, Paper
`
`
`
`7 at 35 (Jan. 24, 2023).
`
`8
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`LGE1030, FIG. 3.16.
`
`
`
`Patent Owner attempts to exceed the scope of the disclosed subject matter in
`
`the ’700 patent related to capacity characteristics of a constellation “on a per-
`
`dimension basis" and equate constellation capacities of 1D and 2D constellations by
`
`linking the optimization of a 1D constellation to a 2D constellation, for example as
`
`shown below using FIGS. 13B and 21 of the ’700 patent on page 27 of the POR.
`
`However, these figures and Patent Owner’s annotations merely reinforce that the
`
`constellations are, at best, optimized in one-dimension, not multiple dimensions and
`
`therefore they fail to describe that “each of the plurality of different non-uniform
`
`multidimensional symbol constellations is capable of providing a greater parallel
`
`decoding capacity at a specific SNR than the other symbol constellations in the
`
`9
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`plurality of multidimensional symbol constellations at the same SNR,” as recited in
`
`the claims. EX2001, 25-28; POR, 26-28; LGE1029, ¶¶0008-0017, 0025-0027,
`
`0035-0038.
`
`
`
`POR, 27.
`Thus, throughout the POR and as reflected in Patent Owner’s figure above,
`
`the ’700 patent, at best, discloses optimized 1D symbol constellations used to create
`
`a 2D constellation. As seen above, the “replication” of a PAM-8 (eight times) shows
`
`the use of individual constellations that have been optimized. Each of the individual
`
`boxes highlight the symbol constellations points of a single optimized PAM-8. As
`
`such, the created QAM-64 is optimized on a “per dimension basis” only. And
`
`because there is no disclosure of the multidimensional symbol constellation being
`
`10
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`optimized, the ’700 patent does not describe “each of the plurality of different non-
`
`uniform multidimensional symbol constellations is capable of providing a greater
`
`parallel decoding capacity at a specific SNR than the other symbol constellations in
`
`the plurality of multidimensional symbol constellations at the same SNR.”
`
`LGE1029, ¶¶0008-0017, 0025-0027.
`
`B. The ’700 patent fails to disclose that an optimized PAM used to
`form a QAM yields an optimized QAM.
`The ’700 patent does not disclose that using optimized one-dimensional
`
`constellations to produce two-dimensional constellations would also result in
`
`optimized two-dimensional constellations. Indeed, as shown below, throughout its
`
`disclosure, the ’700 patent focuses on optimizing desired capacity on a per
`
`dimension basis. Example excerpts are provided below. LGE1029, ¶¶0010-0017,
`
`0028-0033.
`
` “selecting an appropriate constellation size and a desired capacity per
`
`dimension, estimating an initial SNR at which the system is likely to
`
`operate, and iteratively optimizing” (LGE1001, 3:4-24);
`
` “[t]hroughout the description of the present invention SNR is defined
`
`as the ratio of the average constellation energy per dimension to the
`
`average noise energy per dimension. In most cases the capacity can be
`
`set to equal the target user bit rate per symbol per dimension”
`
`11
`
`
`
`(LGE1001, 7:51-56); and
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` “the SNR at which the optimized M-ary constellation provides the
`
`desired capacity per dimension η (SNRout) is determined.” (LGE1001,
`
`8:13-15).
`
`Far from disclosing that 1D constellation optimization would also apply to 2D
`
`constellation optimization, the ’700 patent discloses the opposite. In particular, the
`
`’700 patent reveals that:
`
`The minimum distance (dmin) between constellation points is indicative
`
`of the capacity of a constellation at high signal-to-noise ratios (SNRs).
`
`Therefore, constellations used in many communication systems are
`
`designed to maximize dmin. Increasing the dimensionality of a
`
`constellation allows
`
`larger minimum distance for constant
`
`constellation energy per dimension.
`
`LGE1001, 1:45-54. This disclosure clearly indicates that the dmin used to
`
`optimize capacity at a high SNR for a single dimensional symbol constellation
`
`could be different for a dmin associated with a constellation with increased
`
`dimensionality (i.e., multidimensional constellation).
`
` Consequently, any
`
`optimization of a parallel decoding capacity at a specific SNR for a single
`
`dimensional symbol constellation, such as a PAM, would not necessarily be the same
`
`or applicable for a non-uniform multidimensional symbol constellation, such as a
`
`12
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`QAM, even if that QAM were formed using an optimized PAM. LGE1029, ¶¶0010-
`
`0017, 0028-0033.
`
`The above-disclosure and the omission of any statement in the ’700 patent (or
`
`any evidence submitted by Patent Owner) disclosing that the parallel decoding
`
`capacities and SNRs of a PAM and a QAM formed using the PAM are the same,
`
`demonstrate that the ’700 patent has no written description support for claims 5, 15,
`
`and 25. LGE1029, ¶¶0010-0017, 0028-0033.
`
`Moreover, a POSITA would have understood that SNR and parallel decoding
`
`optimizations of PAM constellations would involve amplitude and/or 1D spacing
`
`optimizations, whereas optimizations of QAM constellations would also involve
`
`phase considerations. LGE1029, ¶¶0010, 0033. But there is no disclosure of phase
`
`optimization in the ’700 patent (with respect to a multidimensional symbol
`
`constellation (e.g., QAM) created from one-dimensional symbol constellations
`
`(PAMs)). Indeed, even in the instance of generating a multidimensional symbol
`
`constellation (e.g., QAM) from single dimensional symbol constellations (e.g.,
`
`PAM), the ’700 patent provides no discussion of how phase is considered with other
`
`parameters when optimizing SNR, parallel decoding capacity, or any other capacity
`
`characteristic of a multi-dimensional symbol constellation. A QAM constellation
`
`constructed from PAM does not account for interference and noise related to phase
`
`when the only previous optimization was based on 1D amplitude and spacing.
`
`13
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`LGE1031, 887. Thus, the ’700 patent fails to explain how a multidimensional QAM
`
`constellation generated using optimized PAMs is itself optimized. It is thus not
`
`surprising that the ’700 patent also fails to disclose the relationship of the SNR of a
`
`one-dimensional constellation (e.g., PAM-8) compared to the SNR of a multi-
`
`dimensional constellation (e.g., QAM-64) formed by orthogonalizing the one-
`
`dimensional constellation. LGE1029, ¶¶0010-0017, 0028-0033.
`
`C. Patent Owner only points to evidence of 1D constellations being
`optimized, which is not enough to support claims 5, 15, and 25
`In attempting to defend the lack of support of claims 5, 15, and 25 in the ’700
`
`patent, Patent Owner turns to evidence that addresses optimizations in 1D. For
`
`instance, Patent Owner turns to Figures 11b, 13b, 15b, and 17b, 10:8-13, and other
`
`portions of the ’700 patent in support of claim 5. POR, 42-45. But none of these
`
`disclosures teach optimization of a multidimensional symbol constellation. As one
`
`example, even if FIG. 13b discloses optimizing a PAM-8 constellation for parallel
`
`decoding capacity at a particular SNR, such information would not be understood as
`
`disclosing an optimization of a QAM-64 constellation such that “each of the plurality
`
`of different non-uniform multidimensional symbol constellations is capable of
`
`providing a greater parallel decoding capacity at a specific SNR than the other
`
`symbol constellations in the plurality of multidimensional symbol constellations at
`
`the same SNR.” LGE1001, 14:65-15:3. Indeed, the ’700 patent does not explain
`
`14
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`whether the orthogonalized multidimensional constellations created from PAM
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`constellations are already optimized or need to be further optimized for the code rate,
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`SNR, capacity, or other characteristics. LGE1029, ¶¶0034-0038.
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`Focusing on the example of FIG. 13b which Patent Owner highlights in its
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`POR, as shown below, Patent Owner attempts to link FIG. 13b to the multi-
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`dimensional constellation shown in FIG. 21. POR, 27-28. But the title of FIG. 21
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`states “QAM-64 constructed from 2 orthogonal PAM-8 optimized for PDC=1.5
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`bits/dimension.” The ’700 patent does not describe the QAM-64 constellation as
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`optimized, nor is there any information in the disclosure about the parallel decoding
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`capacity or SNR of the QAM-64 constellation. With no description of the SNR or
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`parallel decoding capacity of
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`the non-uniform multi-dimensional symbol
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`constellation shown in FIG. 13b or in any other multi-dimensional constellation, the
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`’700 patent fails to provide written description support for claims 5, 15, and 25.
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`LGE1029, ¶¶0034-0038.
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`POR, 27 (annotated with yellow highlighted box).
`Moreover, throughout the POR, Patent Owner mischaracterizes the alleged
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`supporting disclosure. For instance, Patent Owner contends that:
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`the specification includes a number of tables identifying a plurality of
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`different non-uniform multidimensional symbol constellations that are
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`capable of providing a greater parallel decoding capacity at a specific
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`SNR than the other symbol constellations in the plurality of
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`multidimensional symbol constellations at the same SNR. For
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`example, Barsoum’s Figs. 11b, 13b, 15b and 17b all disclose
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`constellations that are capable of providing the greatest parallel
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`decoding capacity at a specific SNR.
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`POR, 43. But none of Figs. 11b, 13b, 15b and 17b are related to multidimensional
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`constellations. As shown below, the same holds true for various other disclosure
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`Patent Owner points to as allegedly supporting the claim features at issue. Indeed,
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`such mischaracterizations may have contributed to the Board being misled by
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`Patent Owner regarding support for claims 5, 15, and 25 at the stage of institution.
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`Paper 10 (Institution Decision), 15; LGE1029, ¶¶0034-0038.
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`POR, 42.
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`POR, 40 (annotated).
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`POR, 44-45 (annotated).
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`Throughout its arguments, Patent Owner relies on an assumption that the
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`characteristics of non-uniform 1D constellations would necessarily also apply to
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`non-uniform 2D constellations, which, as noted above, is incorrect. To the extent
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`there could be circumstances in which such an assumption would hold true, the
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`‘700 patent provides no description of such circumstances and it certainly would
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`not apply to “each” of the different non-uniform multidimensional constellations.
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`Thus, none of the evidence provided by the Patent Owner provides written
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`description support for claims 5, 15, and 25. LGE1029, ¶¶0034-0038.
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`D. There is no comparison of parallel decoding capacity between
`different non-uniform multidimensional symbol constellations
`The ’700 patent (e.g., Figs. 10a-17b) also fails to provide any description
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`regarding a comparison of the parallel decoding capacity of non-uniform
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`multidimensional symbol constellations. For instance, even if one were to
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`orthogonalize the various PAM-8 constellations of FIG. 13b into various
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`corresponding QAM-64 constellations, the ’700 patent does not disclose the parallel
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`decoding capacities of these corresponding QAM-64 constellations. Specifically,
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`the ’700 patent states “the PD capacity of a channel can be viewed in terms of the
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`mutual information between the output bits of the encoder (such as an LDPC
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`encoder) at the transmitter and the likelihoods computed by the demapper at the
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`receiver.” LGE1001, 6:64-7:1. Then when describing
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`the complexity of
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`multidimensional optimization, the ’700 patent states that “[t]he complexity of the
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`optimization step grows exponentially in the number of dimensions as does the
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`complexity of the resulting receiver de-mapper.” LGE1001, 13:7-10. As noted
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`above, the ’700 patent does not disclose the design of the more complex de-mapper
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`or how such multidimensional optimization would be implemented. Thus, the
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`parallel decoding capacity of multidimensional constellation system utilizing an
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`“exponentially” more complex de-mapper is not shown to be the same as that of a
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`one dimensional (PAM) de-mapper. LGE1029, ¶¶0019, 0039. For this additional
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`reason, the features of claims 5, 15, and 25, namely “each of the plurality of different
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`non-uniform multidimensional symbol constellations is capable of providing a
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`greater parallel decoding capacity at a specific SNR than the other symbol
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`constellations in the plurality of multidimensional symbol constellations at the
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`same SNR” do not have written description support. LGE1029, ¶¶0039-0040.
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`To the extent other comparisons are disclosed in the ’700 patent, the
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`comparisons are between the capacity of a non-uniform constellation and the
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`capacity of a constellation that maximizes dmin (i.e., uniform constellation).
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`LGE1001, 2:51-55, 3:25-34, 6:25, 8:24-29. In fact, even when producing a QAM
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`constellation, the ’700 patent discloses “obtaining a geometrically shaped PAM
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`constellation with a constellation size that is the square root of said given
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`constellation size” of the QAM constellation, and then comparing the capacity of the
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`PAM to “a PAM constellation that maximizes dm.” LGE1001, 3:25-34. Thus, the
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`’700 patent discloses comparing the capacity of a geometrically shaped PAM
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`constellations to constellations maximized for dmin, which is not the same as
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`comparing the parallel decoding capacity at a particular SNR of a non-uniform
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`multidimensional symbol constellation to “other symbol constellations in the
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`plurality of multidimensional symbol constellations at the same SNR,” as claimed
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`in claims 5, 15, and 25. LGE1011, 14:65-15:3; LGE1029, ¶¶0039-0040.
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`III. Conclusion
`For the various foregoing reasons, Petitioner respectfully submits that claims
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`5, 15, and 25 lack written description support and thus should not be entitled to an
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`earlier priority. For example, because there is no teaching of multidimensional
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`optimization and there is no comparison between optimized constellations at the
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`same SNR, the ’700 patent fails to show written description support for claims 5,
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`15, and 25. Consequently, the ’777 patent (Barsoum) and ATSC327 are both prior
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`art to the ’700 patent. And because Patent Owner did not address the invalidity
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`grounds based on the ’777 patent (Barsoum) and ATSC327, claims 5, 15, and 25
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`should be found invalid.
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`Respectfully submitted,
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`/Usman Khan/
`W. Karl Renner, Reg. No. 41,265
`Jeremy J. Monaldo, Reg. No. 58,680
`Patrick Darno, Reg. No. 69,205
`Usman A. Khan, Reg. No. 70,439
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`Fish & Richardson P.C.
`3200 RBC Plaza, 60 South Sixth Street
`Minneapolis, MN 55402
`T: 202-783-5553
`F: 877-769-7945
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`Dated: December 22, 2023
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`CERTIFICATION UNDER 37 CFR § 42.24(d)
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`Under the provisions of 37 CFR § 42.24(d), the undersigned hereby certifies
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`that the word count for the foregoing Petitioner’s Reply to Patent Owner’s Response
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`totals 3,662, which is less than the 5,600 allowed under 37 CFR § 42.24.
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`/Usman Khan/
`W. Karl Renner, Reg. No. 41,265
`Jeremy J. Monaldo, Reg. No. 58,680
`Patrick Darno, Reg. No. 69,205
`Usman A. Khan, Reg. No. 70,439
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`Fish & Richardson P.C.
`3200 RBC Plaza, 60 South Sixth Street
`Minneapolis, MN 55402
`T: 202-783-5553
`F: 877-769-7945
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`Dated: December 22, 2023
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`CERTIFICATE OF SERVICE
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`Pursuant to 37 CFR §§ 42.6(e)(4)(i) et seq. and 42.105(b), the undersigned
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`certifies that on December 22, 2023, a complete and entire copy of this Petitioner’s
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`Reply to Patent Owner’s Response and all supporting exhibits were provided via e-
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`mail to the Patent Owner, by serving the correspondence address of record as
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`follows:
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`William A. Meunier (Reg. No. 41,193)
`Michael T. Renaud (Reg. No. 44,299)
`Kevin C. Amendt (Reg. No. 69,361)
`MINTZ, LEVIN, COHN, FERRIS, GLOVSKY