Calculations of error structures in binary channels with memory: BSC-M as an extension of the BSC channel
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
[Königs Wusterhausen]
[Dr. Claus Wilhelm]
2019
|
| Ausgabe: | Third edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | vii, 54 Seiten Diagramme |
| ISBN: | 9783981953220 |
Internformat
MARC
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| 245 | 1 | 0 | |a Calculations of error structures in binary channels with memory |b BSC-M as an extension of the BSC channel |c Claus Wilhelm |
| 246 | 1 | 3 | |a Calculation of error structures in binary channels with memory |
| 250 | |a Third edition | ||
| 264 | 1 | |a [Königs Wusterhausen] |b [Dr. Claus Wilhelm] |c 2019 | |
| 264 | 2 | |a [Norderstedt] |b BoD | |
| 300 | |a vii, 54 Seiten |b Diagramme | ||
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Datensatz im Suchindex
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|---|---|
| adam_text |
CONTENTS
I.
BASICS
1
1.
A-MODEL
AND L-MODEL
FOR DESCRIBING
BSC-M
3
1.1.
CHANNEL DISTURBANCE
AND
INTERRUPTIONS
3
1.2.
EMPIRICALLY
DETERMINED
CHANNEL
PROPERTIES
4
1.3.
ERROR DISTANCE
DISTRIBUTION OF THE
L-MODEL
5
1.4.
GENERATING
FUNCTION AND
THE DISTRIBUTION
OF ERROR DISTANCE
IN THE
A-MODEL 8
1.5. SYMBOL
ERROR PROBABILITY
AND BLOCK ERROR
PROBABILITY
11
1.6.
PROBABILITY V(K)
OF THE GAP
LENGTH K IN THE
A-MODEL
12
1.7.
SYMBOL
CORRELATION FUNCTION
R(S) FOR
THE A-MODEL
12
1.8.
DETERMINING PARAMETERS
OF THE
A-MODEL FROM
MEASUREMENTS
14
1.9. MODEL
PARAMETER
ESTIMATION WITHOUT
ERROR
STRUCTURE MEASUREMENTS
15
1.10. SUMMARY
17
II.
PROBABILITIES OF
ERROR
STRUCTURES IN
BURSTS
19
2.
CALCULATION OF ERROR
STRUCTURES IN BURSTS
21
2.1.
NUMBER OF
BURSTS
21
2.2.
BURST WEIGHT
DISTRIBUTION
22
2.3.
BURST
LENGTH DISTRIBUTION
23
2.4.
DISTRIBUTION
OF BURSTS WITH
LENGTH 1 AND
WEIGHT G
29
2.5.
BURST ANALYSIS
MATRIX
31
III.
PROBABILITY
OF ERROR
STRUCTURES IN
BLOCKS
33
3.
CALCULATION
OF
ERROR STRUCTURES IN BLOCKS
35
3.1.
SINGLE ERRORS
IN BLOCKS OF LENGTH
N
36
3.2.
DISTRIBUTION
OF ERROR
LENGTH 1 IN
ERRORNEUS BLOCKS
38
3.3.
DISTRIBUTION
OF WEIGHT G IN
ERROR BUNDLES OF
LENGTH 1
41
3.4.
DISTRIBUTION
OF WEIGHT G OF
ERROR BUNDLES
OF LENGTH 1 INTO
ERRONEOUS BLOCKS
46
3.5. DISTRIBUTION
OF WEIGHT G
OF ERROR BUNDLES
IN ERRONEOUS
BLOCKS (WEIGHT
SPECTRUM)
48
4.
APPENDIX
- BASIC FORMULARS
FOR THE
A-MODEL
51
4.1.
DEFINITIONS
51
4.2.
GENERAL
RELATIONSSHIPS
FOR THE A-MODEL
51
CONTENTS
4.3.
BURST
RELATIONSSHIPS
52
4.4.
DISTURBED
BLOCK RELATIONSSHIPS
52
BIBLIOGRAPHY
53
LIST
OF
FIGURES
1.1.
PRINCIPLE OF THE ERROR
STRUCTURE MEASUREMENT
3
1.2.
SEQUENCE OF THE DISTURBED
AND INTERRUPTED TRANSMISSION
INTERVALS .
4
1.3. MODEL OF BINARY
SYMMETRIC CHANNELS
4
1.4.
PARAMETERS FOR THE DESCRIPTION
OF THE MODELED ERROR
SEQUENCE
5
1.5.
BLOCK ERROR PROBABILITY
AS A FUNCTION OF THE
BLOCK LENGTH (EXAMPLES)
. 6
1.6.
CALCULATION OF PB(N) FROM
U(K)
6
1.7.
CALCULATION OF THE
CORRELATION PROBABILITY
R(S) FOR THE OCCURRENCE
OF TWO
SYMBOL
ERRORS AT A DISTANCE
OF S
12
2.1.
MARKOV-DIAGRAM FOR
CALCULATING THE BURST
WEIGHT DISTRIBUTION
22
2.2. CALCULATION
OF THE BURST LENGTH
DISTRIBUTION; FOR R(7)
23
2.3.
THE BURST OF LENGTH 3 WITH 3
ERRORS IN EXAMPLE 3
25
2.4.
PROBABILITY FOR
THE BURST LENGTH 1
IN BURSTS WHERE A
= 2
28
3.1.
CALCULATION
OF THE PROBABILITY OF
SINGLE ERRORS IN A BLOCK OF
LENGTH N
36
3.2.
ERROR BUNDLE OF LENGTH 1 IN A
BLOCK OF LENGTH N
38
3.3.
CALCULATING THE
DISTRIBUTION OF WEIGHT IN ERROR
BUNDLES OF LENGTH 1 .
41
3.4. CALCULATING THE
PROBABILITY OF THE OCCURRENCE
OF ERROR BUNDLES OF
THE
LENGTH 1 WITH G SYMBOL
ERRORS IN BLOCK OF LENGTH
N
46
LIST
OF
TABLES
1.1.
TYPICAL VALUES
FOR THE PARAMETERS OF A-MODEL
AND L-MODEL FOR ESTIMATED
CALCULATIONS
9
1.2.
ERROR
DISTANCE DISTRIBUTION
U(K), MEASURED AND
CALCULATED WITH THE
A
MODEL AS THE PROBABILITY THAT THE
GAP LENGTH BETWEEN TWO SYMBOL
ERRORS
IS
K
K
15
1.3.
COMPARISON OF MEASURED
AND CALCULATED FREQUENCIES
OF ERROR STRUCTURES
CALCULATED WITH THE
A-MODEL
16
2.1.
BURST ANALYSIS MATRIX OF
AN ARTIFICIALLY GENERATED
ERROR SEQUENCE (A = 5)
31
3.1.
MEASURED
AND CALCULATED WEIGHT
DISTRIBUTIONS IN DISTURBED
BLOCKS . . . 35
3.2.
CHANNEL MATRIX OF AN
ARTIFICIALLY GENERATED ERROR
SEQUENCE FOR BUNDLE
ERRORS OF LENGTH 1
AND WEIGHT G IN BLOCKS
OF LENGTH N = 15
36
3.3.
LENGTH L
OF ERROR
BUNDLES IN BLOCK OF LENGTH G = 5
41
VI
LIST
OF TABLES
NOMENCLATURE
K
NUMBER
OF ERROR-FREE
SYMBOLS BETWEEN
TWO SYMBOL ERRORS
S
ERROR
DISTANCE
P
{.}
PROBABILITY
E
{-}
AVERAGE
NUMBER OF ERRORS IN A
BURST
E (K)
AVERAGE
ERROR
DISTANCE
PE
SYMBOL
ERROR
PROBABILITY
PB
BLOCK
ERROR
PROBABILITY
1 - A
BUNDLING
FACTOR OF
SUCCESSIVE ERRORS
C
LIMITING
FACTOR FOR CONVERGENCE
TO THE
BSC-CHANNEL
WITHOUT MEMORY
N
BLOCK
LENGTH
G
NUMBER
OF SYMBOL
ERRORS IN A BLOCK,
BURST OR BUNDLE
1
ERROR
BURST LENGTH IN
BURSTS OR ERROR BUNDLE
LENGTH IN BLOCKS
A
NUMBER
OF ERRORFREE SYMBOLS
TO SEPARATE TWO
BURSTS
ZF
NUMBER
OF SYMBOL ERRORS
IN THE SAMPLE
ZB
NUMBER
OF BURSTS
IN THE
SAMPLE
R(X)
GAMMA
FUNKTION
V(K), VK
PROBABILITY
OF EXACTLY K ERROR-FREE
STEPS AFTER A SYMBOL
ERROR
U(K), UK
PROBABILITY
OF AT LEAST K
ERROR-FREE STEPS AFTER A
SYMBOL ERROR
R(S)
SYMBOL CORRELATION
PROBABILITY
C, A,
B
COEFFICIENT
ERROR
BIT SIGN
O
ERROR
FREE BIT SIGN
U(T)
GENERATION
FUNCTION
OF U(K)
R(T)
GENERATION
FUNCTION
OF R(S)
P(T)
GENERATION
FUNCTION OF P(S)
F(T)
ABBREVIATED
GENERATION FUNCTION
OF P(T)
V(T)
GENERATION
FUNCTION OF V(K)
R
NUMBER
OF
ABBREVIATIONS
N*
TOTAL
SIGNAL
LENGTH
VII |
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| building | Verbundindex |
| bvnumber | BV048869068 |
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| discipline_str_mv | Informatik |
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| format | Book |
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| id | DE-604.BV048869068 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T21:43:48Z |
| indexdate | 2024-09-12T00:12:21Z |
| institution | BVB |
| isbn | 9783981953220 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034134015 |
| oclc_num | 1374566849 |
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| physical | vii, 54 Seiten Diagramme |
| publishDate | 2019 |
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| spelling | Wilhelm, Claus Verfasser aut Calculations of error structures in binary channels with memory BSC-M as an extension of the BSC channel Claus Wilhelm Calculation of error structures in binary channels with memory Third edition [Königs Wusterhausen] [Dr. Claus Wilhelm] 2019 [Norderstedt] BoD vii, 54 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Fehlererkennung (DE-588)4133764-5 gnd rswk-swf Kommunikationstechnik (DE-588)4031888-6 gnd rswk-swf Kommunikationsprotokoll (DE-588)4128252-8 gnd rswk-swf Kommunikationsprotokoll (DE-588)4128252-8 s Kommunikationstechnik (DE-588)4031888-6 s Fehlererkennung (DE-588)4133764-5 s DE-604 Digitalisierung Bibliothek HTW Berlin application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034134015&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wilhelm, Claus Calculations of error structures in binary channels with memory BSC-M as an extension of the BSC channel Fehlererkennung (DE-588)4133764-5 gnd Kommunikationstechnik (DE-588)4031888-6 gnd Kommunikationsprotokoll (DE-588)4128252-8 gnd |
| subject_GND | (DE-588)4133764-5 (DE-588)4031888-6 (DE-588)4128252-8 |
| title | Calculations of error structures in binary channels with memory BSC-M as an extension of the BSC channel |
| title_alt | Calculation of error structures in binary channels with memory |
| title_auth | Calculations of error structures in binary channels with memory BSC-M as an extension of the BSC channel |
| title_exact_search | Calculations of error structures in binary channels with memory BSC-M as an extension of the BSC channel |
| title_exact_search_txtP | Calculations of error structures in binary channels with memory BSC-M as an extension of the BSC channel |
| title_full | Calculations of error structures in binary channels with memory BSC-M as an extension of the BSC channel Claus Wilhelm |
| title_fullStr | Calculations of error structures in binary channels with memory BSC-M as an extension of the BSC channel Claus Wilhelm |
| title_full_unstemmed | Calculations of error structures in binary channels with memory BSC-M as an extension of the BSC channel Claus Wilhelm |
| title_short | Calculations of error structures in binary channels with memory |
| title_sort | calculations of error structures in binary channels with memory bsc m as an extension of the bsc channel |
| title_sub | BSC-M as an extension of the BSC channel |
| topic | Fehlererkennung (DE-588)4133764-5 gnd Kommunikationstechnik (DE-588)4031888-6 gnd Kommunikationsprotokoll (DE-588)4128252-8 gnd |
| topic_facet | Fehlererkennung Kommunikationstechnik Kommunikationsprotokoll |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034134015&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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