Non-binary error control coding for wireless communication and data storage:
"Non-Binary Error Control Coding for Wireless Communication and Data Storage explores non-binary coding schemes that have been developed to provide an alternative to the Reed-Solomon codes, which are expected to become unsuitable for use in future data storage and communication devices as the d...
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Chichester, U.K.
Wiley
2008
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Zusammenfassung: | "Non-Binary Error Control Coding for Wireless Communication and Data Storage explores non-binary coding schemes that have been developed to provide an alternative to the Reed-Solomon codes, which are expected to become unsuitable for use in future data storage and communication devices as the demand for higher data rates increases. This book will look at the other significant non-binary coding schemes, including non-binary block and ring trellis-coded modulation (TCM) codes that perform well in fading conditions without any expansion in bandwidth use, and algebraic-geometric codes which are an extension of Reed-Solomon codes but with better parameters. Key Features: Comprehensive and self-contained reference to non-binary error control coding starting from binary codes and progressing up to the latest non-binary codes; Explains the design and construction of good non-binary codes with descriptions of efficient non-binary decoding algorithms with applications for wireless communication and high-density data storage; Discusses the application to specific cellular and wireless channels, and also magnetic storage channels that model the reading of data from the magnetic disc of a hard drive; Includes detailed worked examples for each coding scheme to supplement the concepts described in this book; Focuses on the encoding, decoding and performance of both block and convolutional non-binary codes, and covers the Kötter-Vardy algorithm and Non-binary LDPC codes." -- Publisher's description. |
Beschreibung: | Includes index |
Beschreibung: | xvi, 303 p. graph. Darst. 26 cm |
Internformat
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500 | |a Includes index | ||
520 | 3 | |a "Non-Binary Error Control Coding for Wireless Communication and Data Storage explores non-binary coding schemes that have been developed to provide an alternative to the Reed-Solomon codes, which are expected to become unsuitable for use in future data storage and communication devices as the demand for higher data rates increases. This book will look at the other significant non-binary coding schemes, including non-binary block and ring trellis-coded modulation (TCM) codes that perform well in fading conditions without any expansion in bandwidth use, and algebraic-geometric codes which are an extension of Reed-Solomon codes but with better parameters. Key Features: Comprehensive and self-contained reference to non-binary error control coding starting from binary codes and progressing up to the latest non-binary codes; Explains the design and construction of good non-binary codes with descriptions of efficient non-binary decoding algorithms with applications for wireless communication and high-density data storage; Discusses the application to specific cellular and wireless channels, and also magnetic storage channels that model the reading of data from the magnetic disc of a hard drive; Includes detailed worked examples for each coding scheme to supplement the concepts described in this book; Focuses on the encoding, decoding and performance of both block and convolutional non-binary codes, and covers the Kötter-Vardy algorithm and Non-binary LDPC codes." -- Publisher's description. | |
650 | 4 | |a Error-correcting codes (Information theory) | |
650 | 4 | |a Wireless communication systems | |
650 | 4 | |a Data transmission systems | |
650 | 4 | |a Computer storage devices | |
650 | 4 | |a Analog electronic systems | |
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650 | 4 | |a Computer storage devices | |
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Datensatz im Suchindex
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adam_text | NON-BINARY ERROR CONTROL CODING FOR WIRELESS COMMUNICATION ROLANDO
ANTONIO CARRASCO NEWCASTLE UNIVERSITY, UK MARTIN JOHNSTON NEWCASTLE
UNIVERSITY, UK JOHN WILEY & SONS, LTD CONTENTS BIOGRAPHIES XIII PREFACE
XV ACKNOWLEDGEMENTS XVII 1 INFORMATION, CHANNEL CAPACITY AND CHANNEL
MODELLING 1 1.1 INTRODUCTION L 1.1.1 INFORMATION THEORY [ 1 ] 2 1.1.2
DEFINITION OF INFORMATION [1,2] 2 1.2 MEASURE OF INFORMATION [1-3] 2
1.2.1 AVERAGE INFORMATION 5 1.2.2 THE ENTROPY OF A BINARY SOURCE 6 1.2.3
MUTUAL INFORMATION 9 1.3 CHANNEL CAPACITY 11 1.3.1 BINARY SYMMETRIC
INPUT CHANNEL 12 1.3.2 BINARY ERASURE CHANNEL (***) 13 / .3.3 THE 4-ARY
SYMMETRIC CHANNEL [1,5] 15 1.3.4 BINARY INPUT CAPACITY OF A CONTINUOUS
CHANNEL (CHANNEL CAPACITY) 17 1.3.5 CHANNEL CAPACITY IN FADING
ENVIRONMENTS 20 1.4 CHANNEL MODELLING 22 1.4.1 CLASSIFICATION OF MODELS
22 1.5 DEFINITION OF A COMMUNICATIONS CHANNEL AND ITS PARAMETERS 24
1.5.1 DOPPLER SHIFT 26 1.5.2 SCATTERING 28 1.5.3 ANGLE OF ARRIVAL AND
SPECTRA 30 / .5.4 MULTIPATH CHANNEL AND TAPPED DELAY LINE MODEL 31 1.5.5
DELAY SPREAD 33 1.5.6 THE FIXED BROADBAND WIRELESS ACCESS CHANNEL 34
1.5.7 UMTS MOBILE WIRELESS CHANNEL MODEL 35 1.5.8 SIMULATING THE FIXED
BROADBAND WIRELESS ACCESS CHANNEL MODEL 37 1.5.9 SIMULATING THE UMTS
MOBILE RADIO CHANNEL 38 1.6 (MULTIPLE-INPUT-MULTIPLE-OUTPUT) (MIMO)
CHANNEL 40 VIII CONTENTS 1.7 MAGNETIC STORAGE CHANNEL MODELLING 43 1.7.1
LONGITUDINAL RECORDING 44 1.7.2 (PARTIAL RESPONSE MAXIMUM LIKELIHOOD)
(PRML) DETECTION 45 1.8 CONCLUSIONS 48 REFERENCES 48 2 BASIC PRINCIPLES
OF NON-BINARY CODES 51 2. 1 INTRODUCTION TO ALGEBRAIC CONCEPTS 51 2.1.1
GROUPS 51 2.1.2 RINGS 52 2.1.3 RING OF POLYNOMIALS 53 2.1.4 FIELDS 5 4
2.1.5 PRIMITIVE POLYNOMIALS 56 2.7.6 MINIMAL POLYNOMIALS AND CYCLOTOMIC
COSETS 58 2.1.7 SUBFIELDS 59 2.2 ALGEBRAIC GEOMETRY PRINCIPLES 60 2.2.1
PROJECTIVE AND AFFINE SPACE 60 2.2.2 PROJECTIVE AND AFFINE CURVES 60
2.2.3 FINDING POINTS ON AN AFFINE CURVE 61 2.2.4 RATIONAL FUNCTIONS ON
CURVES 64 2.2.5 RIEMANN-ROCH THEOREM 67 2.2.6 THE ZERO ORDER OF A
MONOMIAL 68 2.2.7 AG CODE PARAMETERS 70 2.3 CONCLUSIONS 71 REFERENCES 71
3 NON-BINARY BLOCK CODES 73 3.1 INTRODUCTION 73 3.2 FUNDAMENTALS OF
BLOCK CODES 74 3.2.1 GENERATOR AND PARITY CHECK MATRICES 11 3.2.2
DECODING BLOCK CODES 79 3.3 CYCLIC CODES 80 3.3.1 POLYNOMIALS 80 3.3.2
SYSTEMATIC CYCLIC CODES 82 3.4 BOSE-CHAUDHURI-HOCQUENGHEM (BCH) CODES 84
3.5 REED-SOLOMON CODES 86 3.6 DECODING REED-SOLOMON CODES 88 3.6.1
EUCLID S ALGORITHM 89 3.6.2 *ERLEKAMP-MASSEY S ALGORITHM 93 3.6.3
DETERMINING THE ERROR MAGNITUDES USING FORNEY S FORMULA 9 5 3.7 CODED
MODULATION 96 3.7.1 BLOCK CODED MODULATION (BCM) CODES 96 3.7.2
MULTI-LEVEL BLOCK CODING 97 CONTENTS IX 3.7.3 SET PARTITIONING 99 3.7.4
CONSTRUCTION OF A BLOCK CODE TRELLIS 100 3.7.5 NON-BINARY BCM CODES 103
3.8 CONCLUSIONS 106 REFERENCES 106 4 ALGEBRAIC-GEOMETRIC CODES 109 4.1
INTRODUCTION 109 4.2 CONSTRUCTION OF ALGEBRAIC-GEOMETRIC CODES 110 4.2.1
SIMPLIFIED CONSTRUCTION OF AG CODES 113 4.2.2 COMPARISON OF AG CODES
WITH REED-SOLOMON CODES 115 4.2.3 SYSTEMATIC ALGEBRAIC-GEOMETRIC CODES
115 4.3 DECODING ALGEBRAIC-GEOMETRIC CODES 119 4.3.1 MODIFICATION OF THE
SETS F AND G 123 4.4 MAJORITY VOTING 125 4.5 CALCULATING THE ERROR
MAGNITUDES 126 4.6 COMPLETE HARD-DECISION DECODING ALGORITHM FOR
HERMITIAN CODES 128 4.7 SIMULATION RESULTS 140 4.8 CONCLUSIONS 144
REFERENCES 1 44 5 LIST DECODING 147 5.1 INTRODUCTION 147 5.2 LIST
DECODING OF REED-SOLOMON CODES USING THE GURUSWAMI-SUDAN ALGORITHM 148
5.2.1 WEIGHTED DEGREES AND LEXICOGRAPHIC ORDERS 148 5.2.2 INTERPOLATION
THEOREM 150 5.2.3 ITERATIVE POLYNOMIAL CONSTRUCTION 152 5.2.4 COMPLEXITY
REDUCED MODIFICATION 154 5.2.5 FACTORIZATION 159 5.2.6 RECURSIVE
COEFFICIENT SEARCH 160 5.3 SOFT-DECISION LIST DECODING OF REED-SOLOMON
CODES USING THE KOETTER-VARDY ALGORITHM 164 5.3.1 MAPPING RELIABILITY
VALUES INTO MULTIPLICITY VALUES 164 5.3.2 SOLUTION ANALYSIS FOR
SOFT-DECISION LIST DECODING 168 5.3.3 SIMULATION RESULTS 171 5.4 LIST
DECODING OF ALGEBRAIC-GEOMETRIC CODES 171 5.5 DETERMINING THE
CORRESPONDING COEFFICIENTS 178 5.6 COMPLEXITY REDUCTION INTERPOLATION
181 5.7 GENERAL FACTORIZATION 187 X CONTENTS 5.8 SOFT-DECISION LIST
DECODING OF HERMITIAN CODES 192 5.8.1 SYSTEM SOLUTION 193 5.8.2
SIMULATION RESULTS 199 5.9 CONCLUSIONS 199 REFERENCES 200 6 NON-BINARY
LOW-DENSITY PARITY CHECK CODES 201 6.1 INTRODUCTION 201 6.2 CONSTRUCTION
OF BINARY LDPC CODES - RANDOM AND STRUCTURED METHODS 201 6.2.1 TANNER
GRAPH REPRESENTATION 202 6.2.2 STRUCTURED CONSTRUCTION METHODS 203 6.2.3
LDPC CODES FROM CLASS 1 BOESE B1BD 204 6.2.4 CONSTRUCTING THE GENERATOR
MATRIX OF A BINARY LDPC CODE 206 6.3 DECODING OF BINARY LDPC CODES USING
THE BELIEF PROPAGATION ALGORITHM 208 6.3.1 INITIALIZATION OF THE BELIEF
PROPAGATION ALGORITHM 208 6.3.2 THE HORIZONTAL STEP 210 6.3.3 THE
VERTICAL STEP 211 6.3.4 REDUCING THE DECODING COMPLEXITY USING FAST
FOURIER TRANSFORMS 216 6.4 CONSTRUCTION OF NON-BINARY LDPC CODES DEFINED
OVER FINITE FIELDS 218 6.4.1 CONSTRUCTION OF NON-BINARY LDPC CODES FROM
REED-SOLOMON CODES 2 19 6.5 DECODING NON-BINARY LDPC CODES WITH THE
SUM-PRODUCT ALGORITHM 221 6.5.7 RECEIVED SYMBOL LIKELIHOODS 222 6.5.2
PERMUTATION OF LIKELIHOODS 223 6.5.3 FACTOR GRAPH OF A NON-BINARY LDPC
CODE 224 6.5.4 THE FAST FOURIER TRANSFORM FOR THE DECODING OF NON-BINARY
LDPC CODES 224 6.6 CONCLUSIONS 234 REFERENCES 235 7 NON-BINARY
CONVOLUTIONAL CODES 237 7.1 INTRODUCTION 237 7.1.1 THE VITERBI ALGORITHM
243 7.1.2 TRELLIS CODED MODULATION 243 7.1.3 TCM BASED ON RINGS OF
INTEGERS 246 7.1.4 RING-TCM CODES FOR M-PSK 247 7.1.5 RING-TCM CODES
USING QUADRATURE AMPLITUDE MODULATION 250 7.1.6 SEARCHING FOR GOOD
RING-TCM CODES 251 CONTENTS X 7.1.7 GENETIC AIGORITHM 253 7.1.8
PERFORMANCE OF RING-TCM CODES ON URBAN FADING CHANNELS 261 7.2
SPACE-TIME CODING MODULATION 262 7.2.1 INTRODUCTION 262 7.2.2 SPACE-TIME
CODES MODEL 264 7.2.3 PERFORMANCE OFST-RTCM CODES USING QPSKFOR MIMO
URBAN ENVIRONMENTS 266 7.2.4 IDEAL CS! AND SLOW FADING 267 7.2.5
LOG-LIKELIHOOD FUNCTION 268 7.2.6 MAXIMUM-LIKELIHOOD SEQUENCE DETECTION
269 7.2.7 ST CODES PAIRWISE ERROR PROBABILITY 269 7.2.8 ST CODE DESIGN
CRITERIA FOR SLOW FADING CHANNELS 273 7.2.9 ST CODE DESIGN CRITERIA FOR
FAST FADING CHANNELS 274 7.2.10 SPACE-TIME RING-TCM CODES FOR QAM IN
FADING CHANNELS 21A 7.3 CONCLUSIONS 278 REFERENCES 278 8 NON-BINARY
TURBO CODES 281 8.1 INTRODUCTION 281 8.2 THE TURBO ENCODER 281 8.2.1
NOTATION 282 8.3 THE TURBO DECODER 284 8.3.1 LOG-LIKELIHOOD RATIOS
(LLRS) 285 8.3.2 MAXIMUM A POSTERIORI (MAP) DECODING 287 8.3.3 MAX-LOG
MAP 290 8.3.4 LOG MAP ALGORITHM 292 8.3.5 ITERATIVE LOG MAP DECODING 292
8.4 NON-BINARY TURBO CODES 294 8.4.1 MULTI-DIMENSIONAL LOG-LIKELIHOOD
RATIOS 296 8.4.2 NON-BINARY ITERATIVE TURBO DECODING 297 8.5 CONCLUSIONS
298 REFERENCES 299 INDEX 301
|
any_adam_object | 1 |
author | Carrasco, Rolando Antonio 1945- |
author_GND | (DE-588)137221053 (DE-588)137167164 |
author_facet | Carrasco, Rolando Antonio 1945- |
author_role | aut |
author_sort | Carrasco, Rolando Antonio 1945- |
author_variant | r a c ra rac |
building | Verbundindex |
bvnumber | BV035498496 |
callnumber-first | T - Technology |
callnumber-label | TK5102 |
callnumber-raw | TK5102.96 |
callnumber-search | TK5102.96 |
callnumber-sort | TK 45102.96 |
callnumber-subject | TK - Electrical and Nuclear Engineering |
ctrlnum | (OCoLC)233798814 (DE-599)BVBBV035498496 |
dewey-full | 005.7/2 |
dewey-hundreds | 000 - Computer science, information, general works |
dewey-ones | 005 - Computer programming, programs, data, security |
dewey-raw | 005.7/2 |
dewey-search | 005.7/2 |
dewey-sort | 15.7 12 |
dewey-tens | 000 - Computer science, information, general works |
discipline | Informatik |
format | Book |
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publisher | Wiley |
record_format | marc |
spelling | Carrasco, Rolando Antonio 1945- Verfasser (DE-588)137221053 aut Non-binary error control coding for wireless communication and data storage Rolando Antonio Carrasco, Martin Johnston Chichester, U.K. Wiley 2008 xvi, 303 p. graph. Darst. 26 cm txt rdacontent n rdamedia nc rdacarrier Includes index "Non-Binary Error Control Coding for Wireless Communication and Data Storage explores non-binary coding schemes that have been developed to provide an alternative to the Reed-Solomon codes, which are expected to become unsuitable for use in future data storage and communication devices as the demand for higher data rates increases. This book will look at the other significant non-binary coding schemes, including non-binary block and ring trellis-coded modulation (TCM) codes that perform well in fading conditions without any expansion in bandwidth use, and algebraic-geometric codes which are an extension of Reed-Solomon codes but with better parameters. Key Features: Comprehensive and self-contained reference to non-binary error control coding starting from binary codes and progressing up to the latest non-binary codes; Explains the design and construction of good non-binary codes with descriptions of efficient non-binary decoding algorithms with applications for wireless communication and high-density data storage; Discusses the application to specific cellular and wireless channels, and also magnetic storage channels that model the reading of data from the magnetic disc of a hard drive; Includes detailed worked examples for each coding scheme to supplement the concepts described in this book; Focuses on the encoding, decoding and performance of both block and convolutional non-binary codes, and covers the Kötter-Vardy algorithm and Non-binary LDPC codes." -- Publisher's description. Error-correcting codes (Information theory) Wireless communication systems Data transmission systems Computer storage devices Analog electronic systems Fehlerkorrekturcode (DE-588)4124917-3 gnd rswk-swf Kanalcodierung (DE-588)4163183-3 gnd rswk-swf Datenspeicherung (DE-588)4332175-6 gnd rswk-swf Codierungstheorie (DE-588)4139405-7 gnd rswk-swf Funkübertragung (DE-588)4018941-7 gnd rswk-swf Fehlerkorrekturcode (DE-588)4124917-3 s Codierungstheorie (DE-588)4139405-7 s Kanalcodierung (DE-588)4163183-3 s Funkübertragung (DE-588)4018941-7 s Datenspeicherung (DE-588)4332175-6 s DE-604 Johnston, Martin Sonstige (DE-588)137167164 oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017554764&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Carrasco, Rolando Antonio 1945- Non-binary error control coding for wireless communication and data storage Error-correcting codes (Information theory) Wireless communication systems Data transmission systems Computer storage devices Analog electronic systems Fehlerkorrekturcode (DE-588)4124917-3 gnd Kanalcodierung (DE-588)4163183-3 gnd Datenspeicherung (DE-588)4332175-6 gnd Codierungstheorie (DE-588)4139405-7 gnd Funkübertragung (DE-588)4018941-7 gnd |
subject_GND | (DE-588)4124917-3 (DE-588)4163183-3 (DE-588)4332175-6 (DE-588)4139405-7 (DE-588)4018941-7 |
title | Non-binary error control coding for wireless communication and data storage |
title_auth | Non-binary error control coding for wireless communication and data storage |
title_exact_search | Non-binary error control coding for wireless communication and data storage |
title_full | Non-binary error control coding for wireless communication and data storage Rolando Antonio Carrasco, Martin Johnston |
title_fullStr | Non-binary error control coding for wireless communication and data storage Rolando Antonio Carrasco, Martin Johnston |
title_full_unstemmed | Non-binary error control coding for wireless communication and data storage Rolando Antonio Carrasco, Martin Johnston |
title_short | Non-binary error control coding for wireless communication and data storage |
title_sort | non binary error control coding for wireless communication and data storage |
topic | Error-correcting codes (Information theory) Wireless communication systems Data transmission systems Computer storage devices Analog electronic systems Fehlerkorrekturcode (DE-588)4124917-3 gnd Kanalcodierung (DE-588)4163183-3 gnd Datenspeicherung (DE-588)4332175-6 gnd Codierungstheorie (DE-588)4139405-7 gnd Funkübertragung (DE-588)4018941-7 gnd |
topic_facet | Error-correcting codes (Information theory) Wireless communication systems Data transmission systems Computer storage devices Analog electronic systems Fehlerkorrekturcode Kanalcodierung Datenspeicherung Codierungstheorie Funkübertragung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017554764&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT carrascorolandoantonio nonbinaryerrorcontrolcodingforwirelesscommunicationanddatastorage AT johnstonmartin nonbinaryerrorcontrolcodingforwirelesscommunicationanddatastorage |