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### erez

Course: ALLERTON 05, Fall 2009
School: University of Illinois,...
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Word Count: 176

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Erez Recently and Zamir have shown that a lattice code with lattice decoding can achieve the capacity of the additive white Gaussian noise (AWGN) channel. This was achieved by using a minimum mean-square error (MMSE) scaling and dithering to transform the AWGN channel in to a modulo-lattice additive noise (mod-$\Lambda$) channel. Further, Lui et. al. have shown that lattice decoding can achieve the error...

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Erez Recently and Zamir have shown that a lattice code with lattice decoding can achieve the capacity of the additive white Gaussian noise (AWGN) channel. This was achieved by using a minimum mean-square error (MMSE) scaling and dithering to transform the AWGN channel in to a modulo-lattice additive noise (mod-$\Lambda$) channel. Further, Lui et. al. have shown that lattice decoding can achieve the error exponent for the AWGN channel using a scaling other than the MMSE scaling at rates above between the critical rate and capacity. We present a simple geometric derivation the of optimal scaling and show that the optimal parameters have a natural relation to the optimizing parameters of the Gallager exponent and can be interpreted through an inflated spherical code". We show using this interpretation, that for spherical codes, {\em threshold decoding} of an inflated codebook yields the maximum...

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University of Illinois, Urbana Champaign - ALLERTON - 05
We introduce the secure biometrics problem, argue that it is becomingincreasingly important, and discuss solutions from both a theoreticaland practical perspective.Essentially, the secure biometrics problem arises because biometricschange from o
University of Illinois, Urbana Champaign - ALLERTON - 05
Our recent proof of the completeness of decoding by list bitflipping is reviewed. The proof is based on an enumeration of all cosetsof low weight in terms of their minimum weight and syndrome weight. Byusing a geometric description of the error pa
University of Illinois, Urbana Champaign - ALLERTON - 05
For assessing the performance of linear programming decoding it isnecessary to know the minimal pseudo-codewords. In this talk we study theminimal pseudo-codewords of some Tanner graphs derived from projectiveplanes and give estimates on their pse
University of Illinois, Urbana Champaign - ALLERTON - 05
We prove that belief propagation provides a practical algorithm for implementing Maximum A posteriori Probability detectionin large CDMA systems. As a byproduct, we rederive Tse-Hanly formula for linear receivers without recourse ro random matrix
University of Illinois, Urbana Champaign - ALLERTON - 05
The behavior of error-correcting codes on ergodic channels, such as classicalGaussian and Rayleigh fading channels, has been extensively analyzed and well understood.Recently, coding for non-ergodic channels has attracted the attentionof researc
University of Illinois, Urbana Champaign - ALLERTON - 05
We argue that for approaching the capacity ofnoncoherent MIMO communication the sum diversity or the chordaldistance of space-time codes can play the primal role.In this work we present a family of Space-Time codesthat have large chordal minimum
University of Illinois, Urbana Champaign - ALLERTON - 05
We present in this talk sequences of ensembles of systematicaccumulate-repeat-accumulate (ARA) codes which asymptoticallyachieve capacity on the binary erasure channel (BEC) with*bounded complexity* per information bit. The results here improveth
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Mathematics 505Winter 20041. Find a commutative ring R, a short exact sequence of R-modules, and an R-module M, so that applying M R to the short exact sequence yields a sequence which is not exact. Give reasons why the original sequence is exac
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Mathematics 4121 February 2006 Midterm preview Instructions: For this exam, clarity of exposition is as important as correctness of mathematics. The actual exam will be closed book, no notes or calculators allowed. There will be room on the paper to
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OverviewofbrainstemanatomymidbrainponsmedullaBrainstemanatomy:externallandmarksVentral (anterior) view Dorsal (posterior) viewWhichlevelsofbrainstemandwhy?Brainstem anatomy: blood supplyTegmentumand basemedullaT B TPosterior(dorsal
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Leroy Searle Department of English University of Washington Seattle, WA 98115 lsearle@u.washington.edu Standard Manuscript Format A very high percentage of college graduates eventually write for publication. Whether the writing consists of a company
Washington - UWCH - 4
Leroy Searle Department of English University of Washington Seattle, WA 98115 lsearle@u.washington.edu Standard Manuscript Format A very high percentage of college graduates eventually write for publication. Whether the writing consists of a company
Washington - UWCH - 4
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Percy Bysshe Shelley (1792-1822) Mont Blanc: Lines Written in the Vale of ChamouniI The everlasting universe of things &lt;1 &gt; Flows through the mind, and rolls its rapid waves, &lt;2&gt; Now dark-now glittering-now reflecting gloom-Now lending splendour, wh
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HOMER: Odyssey, trans. Samuel Butler From Book I:Tell me, O muse, of that ingenious hero who travelled far and wide after he had sacked the famous town of Troy. Many cities did he visit, and many were the nations with whose manners and customs he wa
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Sinners in the Hands of an Angry Godhttp:/www.ccel.org/e/edwards/sermons/sinners.htmlJonathan Edwards (1703-1758) Enfield, Connecticut July 8, 1741 -Their foot shall slide in due time.-Deuteronomy 32:35 In this verse is threatened the vengeance of
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HOMER: Odyssey, trans. Samuel Butler From Book I:Tell me, O muse, of that ingenious hero who travelled far and wide after he had sacked the famous town of Troy. Many cities did he visit, and many were the nations with whose manners and customs he wa
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George Starbuck: &quot;A Tapestry for Bayeux&quot; from Bone Thoughts (1960) I. Recto Over the seaworthy cavalry arches a rocketry wickerwork: involute laceries lacerate indigo altitudes, making a skywritten filigree into which, lazily, LCTs sinuate, adjutants
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Provided by The Internet Classics Archive. See bottom for copyright. Available online at http:/classics.mit.edu/Aristotle/poetics.html Poetics By Aristotle Translated by S. H. Butcher -SECTION 1 Part I I propose to treat of Poetry in itself and of it
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PoliticsBy Aristotle Written 350 B.C.E Translated by Benjamin Jowett Table of ContentsBook OnePart I Every tate is a community of some kind, and every community is established with a view to some good; for mankind always act in order to obtain th
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BIOGRAPHIA LITERARIA (1818) by Samuel Taylor ColeridgeBIOGRAPHIA LITERARIACHAPTER I Motives to the present work-Reception of the Author's first publication-Discipline of his taste at school-Effect of contemporary writers on youthful minds-Bowles'
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&quot;Dear C. &quot;You ask my opinion concerning your Chapter on the Imagination, both as to the impressions it made on myself, and as to those which I think it will make on the Public, i.e. that part of the public, who, from the title of the work and from it
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