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CSU Northridge >> KME >> 52026 (Fall, 2009)
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CSU Northridge >> KME >> 52026 (Fall, 2009)
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CSU Northridge >> KME >> 52026 (Fall, 2009)
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CSU Northridge >> KME >> 52026 (Fall, 2009)
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CSU Northridge >> KME >> 52026 (Fall, 2009)
Exam 3, Math 310 Fall 2008, VERSION B Name:_ 1. (6 points) Find the value of x and z if y = 5. 2. Answer the following questions about the figure. Lines that appear straight are straight. a) (4 points) Explain why these two triangles are similar. ...
Acton School of Business >> STAT >> 305 (Fall, 2009)
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Caltech >> EE >> 127 (Fall, 2009)
284 IEEE TRANSACTTONS ONINFORMATION THEORY, MARCH 1974 On the right side of p. 505, the fifth and sixth line from the bottom, the lower error exponent E- (R) is valid for the 1 output and the upper error exponent i? (R) for the 0 output. ACKNOWLEDGM...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Error-Correcting Codes draft of April 30, 2003 Some Notes on the AWGN Channel. E Wherein the mysterious 2 = 2R Nb 0 -1 R. J. McEliece 162 Moore formula is explained. Preliminaries. T : The transmission time, in seconds. P : The signa...
Caltech >> EE >> 127 (Fall, 2009)
Consultative Committee for Space Data Systems RECOMMENDATION FOR SPACE DATA SYSTEM STANDARDS TELEMETRY CHANNEL CODING CCSDS 101.0-B-6 BLUE BOOK October 2002 DEDICATION This document is dedicated to the memory of Mr. Warner H. Miller of NASA. Warne...
Caltech >> EE >> 127 (Fall, 2009)
Draft of February 23, 2001 Chapter 9: BCH, Reed-Solomon, and Related Codes 9.1 Introduction. In Chapter 7 we gave one useful generalization of the (7, 4) Hamming code of the Introduction: the family of (2m - 1, 2m - m - 1) single error-correcting H...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lectures 12 March 31, 2006 c Copyright 2006 by R. J. McEliece Outline Where are We Going? Review of Some Combinatorics Counting q-ary Irreducible Polynomials Where Are We Going? To construct GF (2n ) we need at least one irreducibl...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 2 April 3, 2004 Copyright c 2004 by R. J. McEliece Outline What is a Convolutional Code? Introduction to Convolutional Encoders Circuit Diagrams z-Transforms The State Space Representation 1 What is a Block Code? An (n, k...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 3 April 5, 2006 c Copyright 2006 by R. J. McEliece Outline Math Warm-Up Order of Elements in (Finite) Fields Existence and Number of Primitive Roots Testing for Irreducibility Important Notation d | n means \"d divides n.\" D...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 4 April 5, 2006 c Copyright 2006 by R. J. McEliece Outline Next Week\'s Homework Math Warmup: Polynomials, Companion Matrices, etc. Testing for Irreducibility Next Week\'s Homework Problems Evaluate P (d) d|n d in closed form....
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 5 April 9, 2006 c Copyright 2006 by R. J. McEliece Outline The Period of a Polynomial. Irreducible v. Primitive Field Representations Testing for Primitivity The Period of A Polynomial Let F be a finite field with q elements,...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 6 April 13, 2006 c Copyright 2006 by R. J. McEliece Outline Block Code v. Convolutional Code Preferred Generator Matrices for Convolutional Codes Block Code Fundamentals Let F be a field, the field of scalars . An (n, k) line...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 7 April 16, 2004 Copyright c 2004 by R. J. McEliece Outline A Useful Theorem about RS decoding. Branch Metrics Survivor Truncation Another Look at Viterbi\'s Algorithm 1 A Very Useful Theorem About RS Decoding Define the RS...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 7 April 15, 2006 c Copyright 2006 by R. J. McEliece Outline Some Remarks on the Homework Notation If two finite sets S and T have the same number of elements, we write S T . Let P denote the set of positive integers . Let F ...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 9 April 21, 2004 Copyright c 2004 by R. J. McEliece Outline The Forward-Backward Algorithm 1 A Weighted Trellis of Rank 5 V 0 A 1 2 V 1 b 1 2 c 4 V 3 d 2 1 V 3 g 3 1 2 V 2 k 4 V 1 5 B 2 3 e 3 1 h 1 m 1 3 f j 2 ...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 9 April 20, 2006 c Copyright 2006 by R. J. McEliece Outline Convolutional Code Fundamentals: Review The Important Special Case k = 1. Ref: Sections 3 and 5, \"The Algebraic Theory of Convolutional Codes.\" Convolutional Code Fun...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 10 April 23, 2004 Copyright c 2004 by R. J. McEliece Outline Applications of the Forward-Backward Algorithm Markov Chain Probabilities Hidden Markov Models. 1 Markov Chain Probabilites V A V 1/3 b 2/3 V 3/4 V g 3/4 1/4 h 1 1/...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 10 April 21, 2006 c Copyright 2006 by R. J. McEliece Outline Review of Realizability Theory. The Free Distance. How to calculate dfree for a particular convolutional code. An upper bound on dfree for an arbitrary (n, k, m) con...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 11 April 24, 2006 c Copyright 2006 by R. J. McEliece Outline An upper bound on dfree for an arbitrary (n, k, m) convolutional code. An Upper Bound on the Free distance How large can the Free distance be? Among all convolutiona...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 12 May 1, 2004 Copyright c 2004 by R. J. McEliece Outline The Viterbi Decoder Project Introduction to the AWGN channel 1 The Viterbi Decoder Project (7,1/2) Voyager Code HARD SOFT BER Eb/N0 , dB The horizontal axis is 10...
Caltech >> EE >> 127 (Fall, 2009)
Planetary Coding 1969-2006 Robert J. McEliece EE 127b Special Lecture May 1, 2006 1 Prologue: The Hamming Code 2 Summary Of the 35 patterns of three erasures: 25 are correctable with the simple algorithm 3 more are correctable with the complex a...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 15 May 10, 2004 Copyright c 2004 by R. J. McEliece Outline Fundamental Paths in Convolutional Codes The Transfer Matrix Method for Counting Paths in Digraphs Bhattacharyya Union Bounds for Viterbi Decoding 1 Fundamental Code ...
Caltech >> EE >> 127 (Fall, 2009)
CAPACITY APPROACHING CODES, ITERATIVE DECODING ALGORITHMS, AND THEIR APPLICATIONS The Ten-Year-Old Turbo Codes are Entering into Service Claude Berrou, ENST Bretagne ABSTRACT In the matter of channel coding and spectral efficiency, up to the invent...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 17 May 27, 2006 c Copyright 2004 by R. J. McEliece Outline Message Passing on Tanner Graphs A Tanner Graph 1 1 0 1 0 1 H = 1 0 1 1 1 0. 0 1 1 0 1 1 Evidence from the Channel Messages to a Check Node Messages to a Variabl...
Caltech >> EE >> 127 (Fall, 2009)
Achieving the Shannon Limit: A Progress Report Robert J. McEliece California Institute of Technology Pasadena, California, USA + + + + + + Thirty-Eighth Allerton Conference October 5, 2000 (A Tale of Two Claudes) Shannon Berrou How Hard is...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 19 May 21, 2004 Copyright c 2004 by R. J. McEliece Outline Message-Passing isn\'t Optimal Regular LDPC Codes on the BSC Introducing Irregularity: Protographs. 1 LDPC Codes Cannot Achieve Capacity on the BSC X BSC(p) Y = X +...
Caltech >> EE >> 127 (Fall, 2009)
Decoding Reed-Solomon Codes Beyond the d/2 Limit Robert J. McEliece California Institute of Technology EE 127b May 24, 2004 A Quick Review of Coding Theory If a code has minimum Hamming distance d it is capable of correcting up to d-1 t0 = 2 errors...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Lecture 21 May 27, 2004 Copyright c 2004 by R. J. McEliece Outline The Sudan-Guruswami-Koetter-Vardy algorithm Sometimes called \"ASD\" Decoding of RS codes 1 The Roadmap f (x) Encoder (f (0 ), . . . , f (n-1 ) (f (0 ), . . . , f (n-1 ...
Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Error-Correcting Codes draft of February 7, 2001 The Weight Distribution of MDS Codes R. J. McEliece 162 Moore Theorem 1. (Cf. Wicker Theorem 85.) The number of codewords of weight w = 0 in an (n, k, d) MDS code over GF (q) is (1) Aw = n...
Caltech >> EE >> 127 (Fall, 2009)
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Caltech >> EE >> 127 (Fall, 2009)
EE/Ma 127b Error-Correcting Codes draft of April 14, 2003 R. J. McEliece 162 Moore The Polar Method for Generating Gaussian Random Variables. Wherein is revealed a simple way to convert a sequence U1 , U2 , . . . , of i.i.d. uniform [0, 1] random v...
Caltech >> EE >> 127 (Fall, 2009)
%!PS-Adobe-3.0 %Title: (TFB.Block) %Creator: (Textures\\250: LaserWriter 8 8.3.4) %CreationDate: (9:02 AM Monday, May 17, 1999) %For: (rjm) %Pages: 6 %DocumentFonts: CMR10 CMR7 CMMI10 CMMI7 CMSY10 CMSY7 CMEX10 CMBX10 CMTI10 CMMI5 CMR5 %DocumentNeededF...
Caltech >> EE >> 127 (Fall, 2009)
x1 x2 x3 computes the sum modulo 2 of its neighbors x1 x2 c1 + x1 + x2 c1 c1 c2 c3 c!n xn message bits (a) check bits (b) x1 x2 x3 conventional code xn message bits check bits 0.000008 0.000007 0.000006 0.000005 0.000004 0.000003 0.000002 0...
USC >> CSCI >> 577 (Fall, 2009)
7ef43bb1112db6997d3c7a4dc0897919e900c0db.xls - Areas of Concern Log Project Name: Artifact: Module: MBASE Phase/level: Activity: Exit Criteria: Reviewer: Review Leader email: Review Leader phone: Author: REEO Database Early OCD Review # Review Da...
USC >> CSCI >> 577 (Fall, 2009)
Mark Dexter CSCI-577a Team 10 REEO Database Early OCD Review October 5, 2007 Management Overview The expected benefits section provides an excellent overview of the functionality to be provided by this system. It is written in simple \"layman\'s\" te...
USC >> CSCI >> 577 (Fall, 2009)
900205f519194782a1e03266840a3eab21c280ec.xls - Areas of Concern Log Project Name: Artifact: Module: MBASE Phase/level: Activity: Exit Criteria: Reviewer: Review Leader email: Review Leader phone: Author: REEO Database Initial Prototype Prototype ...
USC >> CSCI >> 577 (Fall, 2009)
Mark Dexter CSCI-577a Prototype Evaluation October 12, 2007 Management Overview Even though this is an initial prototype that is designed to give the client a feel for what the website could look like; the screen shots are a good representation of wh...
USC >> CSCI >> 577 (Fall, 2009)
Mark Dexter CSCI-577a Prototype Evaluation October 12, 2007 Management Overview Even though this is an initial prototype that is designed to give the client a feel for what the website could look like; the screen shots are a good representation of w...
USC >> CSCI >> 577 (Fall, 2009)
3ea25f071701e55c3e1bf34631c6dbce27b87c06.xls - REEO AAR Summary Project Name: Artifact: Module: REEO Database AAR Summary Early OCD & Prototype MBASE Phase/level: Review #: Date: Activity: Review Date(s): 12/13/2007 1 1 Type of review: Independent ...
USC >> CSCI >> 577 (Fall, 2009)
23408907cfac6efc04fa9311170d66207fc473d8.xls - Areas of Concern Log Project Name: Artifact: Module: MBASE Phase/level: Activity: Exit Criteria: REEO Database OCD Review # Review Date: Review Time: 1 10/21/2007 3.5 Hours 1 Date Sent to Reviewe...
USC >> CSCI >> 577 (Fall, 2009)
3904c1cd41dc929e05012acfc322d45051b6eb6b.xls - Areas of Concern Log Project Name: Artifact: Module: MBASE Phase/level: Activity: Exit Criteria: Reviewer: Review Leader email: Review Leader phone: Author: Use this sheet to record the areas of concern...
USC >> CSCI >> 577 (Fall, 2009)
7924ff0ca692be87caa1a33c0b93438c79724c49.xls - Areas of Concern Log Project Name: Artifact: Module: MBASE Phase/level: Activity: Exit Criteria: Reviewer: Review Leader email: Review Leader phone: Author: REEO Database FRD Review # Review Date: Re...
USC >> CSCI >> 577 (Fall, 2009)
4207097f070d8b9c365bf20b44e85473758b976b.xls - Areas of Concern Log Project Name: Artifact: Module: MBASE Phase/level: Activity: Exit Criteria: Reviewer: Review Leader email: Review Leader phone: Author: REEO Database LCP Review # Review Date: Re...
USC >> CSCI >> 577 (Fall, 2009)
79f9d0a902e83b64aa2690c121d0af36c4cab00c.xls - Areas of Concern Log Project Name: Artifact: Module: MBASE Phase/level: Activity: Exit Criteria: Reviewer: Review Leader email: Review Leader phone: Author: REEO Database SID Review # Review Date: Re...
USC >> CSCI >> 577 (Fall, 2009)
7462d2486f9338c22c78dde8d8a1059591a5af88.xls - Areas of Concern Log Project Name: Artifact: Module: MBASE Phase/level: Activity: Exit Criteria: REEO Database SSAD Review # Review Date: Review Time: 1 10/22/2007 3.5 Hours 1 Date Sent to Review...
USC >> CSCI >> 577 (Fall, 2009)
d466a2533b92e62d90e82c902641adcabde37227.xls - Areas of Concern Log Project Name: Artifact: Module: MBASE Phase/level: Activity: Exit Criteria: Reviewer: Review Leader email: Review Leader phone: Author: REEO Database RSM Review # Review Date: Re...
USC >> CSCI >> 577 (Fall, 2009)
Mark Dexter CSCI-577a LCO Draft October 24, 2007 Management Overview The SSAD clearly defines for the end user who the users of the system will be, along with their perceived responsibilites for the system. It also provides a good overview of the art...
USC >> CSCI >> 577 (Fall, 2009)
Mark Dexter CSCI-577a LCO Draft October 24, 2007 Management Overview The SSAD clearly defines for the end user who the users of the system will be, along with their perceived responsibilites for the system. It also provides a good overview of the ar...
USC >> CSCI >> 577 (Fall, 2009)
Project Name: Artifact: Module: MBASE Phase/level: 80c0f7d8e5f67f5119d4387df6d8d0e054e3ebb0.xls - Areas of Concern Log Team 10 : REEO Database OCD LCO Package v1.4 N/A Inception Review # Review Date: Review Time: OCD 11/5/2007 5:00 PM 3 Activi...
USC >> CSCI >> 577 (Fall, 2009)
b99e1748f59359af4c9ce898eb04ea1db39e0437.xls - Areas of Concern Log Project Name: Artifact: Module: MBASE Phase/level: Team 10: REEO Database SSRD LCO Package v1.4 N/A Inception Review # Review Date: Review Time: SSRD 11/5/2007 2:00 PM 2 Activ...
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