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Purser M. - Introduction to error-correcting codes :: Электронная библиотека попечительского совета мехмата МГУ
 
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Purser M. - Introduction to error-correcting codes
Purser M. - Introduction to error-correcting codes

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Название: Introduction to error-correcting codes

Автор: Purser M.

Аннотация:

Presents basic concepts and results which give the reader a firm grasp of the scope of the subject and a thorough understanding of the principal techniques. DLC: Signal processing.


Язык: en

Рубрика: Computer science/Теория информации/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 133

Добавлена в каталог: 20.11.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
BCH codes, error correction of binary      53-58
BCH codes, error correction of nonbinary      58-59
BCH codes, examples of      51-52
BCH codes, minimum polynomials in      47-48
BCH codes, Reed - Solomon codes      59-67
BCH codes, roots of      48-51
Berlekamp - Massey algorithm      58 125-127
Binary erasure channel      6
Binary information units (bits)      96
Binary symmetric channel (BSC)      111
Binomial approximations      113-116
Bit strings      1-7
Block codes      7
Block codes and convolutional codes      91-93
Bose - Chaudhuri - Hocquenghem codes      see "BCH codes"
BSC (binary symmetric channel)      111
Bursts, of errors      6-7
Capacity, of channel      110
Closed code      12
Code rate      8
Code(s) and error correction      3-5
Code(s), bit strings and      1-7
Code(s), block      7 91-93
Code(s), closed      12
Code(s), Golay      18 38
Code(s), immediate      97
Code(s), perfect      18-19
Code(s), Reed - Solomon      29 59-67
Code(s), repetition      18-19
Code(s), tree and trellis      69-72
Code-distance      7
Codevectors      3
Codewords      3
Columns, of null matrix      17-18
Constraint length      70
Convolutional codes, analysis of      78-81
Convolutional codes, block codes and      91-93
Convolutional codes, control of decoding errors with      77-78
Convolutional codes, defined      73
Convolutional codes, error correcting with      81-91
Convolutional codes, feedback decoding with      86-89
Convolutional codes, linear      72-78
Convolutional codes, sequential decoding with      85-86
Convolutional codes, soft-decision decoding with      84-85
Convolutional codes, syndrome decoding with      87-91
Convolutional codes, tree and trellis codes      69-72
Correlated sources      102-107
cosets      12
Cyclic codes, defined      32
Cyclic codes, error correction with      42-44
Cyclic codes, error detection with      38-42
Cyclic codes, generating polynomial for      31-35
Cyclic codes, nonbinary      44-46
Cyclic codes, roots of generating polynomial and null matrix in      35-37
Cyclic codes, shortened      40-42
Cyclic codes, systematic      33-35
Cyclic codes, weight distributions of      39-40
Decoding errors, control of      77-78
Decoding, feedback      86-89
Decoding, sequential      85-86
Decoding, soft-decision      5-7 84-85
Decoding, syndrome      89-91
Delay operator      76
Detectable errors      24-25
Distance, of linear code      17
entropy      96
Entropy of correlated source      102
Equivocation      108 111
Erasures      5-7
Error correction with binary BCH codes      53-58
Error correction with convolutional codes      81-91
Error correction with cyclic codes      42-44
Error correction with nonbinary BCH codes      58-59
Error correction, codes and      3-5
Error correction, forward      4
Error detection, with cyclic codes      38-42
Error locator      53
Error(s), bursts of      6-7
Error(s), detectable      24-25
Error(s), postdecoding      80-81
Error-recovery, by detection and retransmission      4
Feedback decoding, with convolutional codes      86-89
Feedback shift registers      40-42
Field(s)      117
Field(s), finite      11 117-124
Forward error correction (FEC)      4
Generating polynomial      31-35
Generating polynomial, roots of, and null matrix      35-37
Generator matrix      13-14
Golay code      18 38
Hamming distance      7-8
Ideal      31
Immediate code      97
Information in transit      107-111
Information rate      107
Information theory, correlated sources in      102-107
Information theory, information in transit in      107-111
Information theory, information, entropy, redundancy, and compression in      95-102
Information units, binary      96
Information, associated with event      95-96
Information, average      96
Information, maximum      96-97
Information, mutual      109 111
Interleaved RS code      63-64
Kasami method      42-43
Linear codes, bounds in practice on      23-25
Linear codes, convolutional      72-78
Linear codes, distance of      17
Linear codes, matrix representation for      11-14
Linear codes, nonbinary      25-29
Linear codes, null matrix or parity-check matrix for      14-18
Linear codes, perfect codes in      18-19
Linear codes, Plotkin bound on      20-23
Linear codes, Varsharmov - Gilbert bound on      19-20
Matrix, generator      13-14
Matrix, null      14-18
Matrix, parity      13
Matrix, parity-check      14-18
Matrix, representation of      11-14
Metric      83
Minimum polynomials, in BCH codes      47-48
Minimum weight      12
Mutual information      109 111
Nonbinary BCH codes, error correction of      58-59
Nonbinary cyclic codes      44-46
Nonbinary linear codes      25-29
Null matrix      14-18
Null matrix, columns of      17-18
Null matrix, roots of generating polynomial and      35-37
NullSpace      14
Parity matrix      13
Parity-check matrix      14-18
Perfect codes      18-19
Plotkin bound      20-23
Postdecoding errors      80-81
Preamble      72
Redundancy      2-3 97
Reed - Solomon (RS) codes      29 59-67
Reed - Solomon (RS) codes, interleaved      63-64
Reed - Solomon (RS) codes, nearness to bounds of      65-67
Reed - Solomon (RS) codes, practical use of      62-64
Reed - Solomon (RS) codes, weight distribution of      64-65
Reed - Solomon (RS) codes, worked example of      60-62
Reliability factor      6
Repetition codes      18-19
Residual error rate      64
Retransmission, error-recovery by      4
Roots of BCH codes      48-51
Roots of cyclic codes      35-37
Roots, consecutive      48
RS codes      see "Reed - Solomon (RS) codes"
Sequential decoding, with convolutional codes      85-86
Shannon's Theorem      8-10
Soft-decision decoding      5-7
Soft-decision decoding with convolutional codes      84-85
Sources, correlated      102-107
Sphere-packing      7-8
Standard array      12
subspace      12
Syndrome      15-17
Syndrome decoding, with convolutional codes      87-91
Tree codes      69-72
Trellis codes      69-72
Varsharmov - Gilbert bound      19-20
Viterbi algorithm      70-72
Weight distributions of cyclic codes      39-40
Weight distributions of Reed - Solomon code      64-65
Weight, of linear code      17
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