Nonlinear Fourier transform-based multi-soliton transmission for optical communications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Stuttgart
2021
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Physical Description: | xxiii, 131 Seiten Illustrationen, Diagramme 21 cm |
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MARC
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| 245 | 1 | 0 | |a Nonlinear Fourier transform-based multi-soliton transmission for optical communications |c vorgelegt von Alexander Span aus Stuttgart |
| 264 | 1 | |a Stuttgart |c 2021 | |
| 300 | |a xxiii, 131 Seiten |b Illustrationen, Diagramme |c 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |b Dissertation |c Universität Stuttgart |d 2021 | ||
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Record in the Search Index
| _version_ | 1804184376469094400 |
|---|---|
| adam_text | CONTENTS
ACRONYMS
XI
LIST
OF
FIGURES
XV
LIST
OF
TABLES
XXI
ABSTRACT
XXIV
1
INTRODUCTION
1
1.1
OPTICAL
FIBER
COMMUNICATION
SYSTEMS
.....................................................................
3
1.1.1
DEVELOPMENT
AND
STATE
OF
THE
ART
..................................................................
3
1.1.2
NONLINEARITY
LIMITATIONS
..................................................................................
4
1.1.3
FROM
FIGHTING
TO
EXPLOITING
NONLINEARITY
.....................................................
6
1.2
NONLINEAR
FOURIER
TRANSFORM-BASED
TRANSMISSION
..................................................
7
1.2.1
BASIC
IDEA
...........................................................................................................
7
1.2.2
HISTORY
.................................................................................................................
8
1.2.3
CHALLENGES
..........................................................................................................
10
1.3
THESIS
ORGANIZATION
AND
CONTRIBUTION
.....................................................................
12
2
NONLINEAR
FOURIER
TRANSFORM-BASED
OPTICAL
COMMUNICATIONS
13
2.1
THE
NONLINEAR
OPTICAL
FIBER
CHANNEL
........................................................................
13
2.1.1
WAVE
EQUATION
.................................................................................................
13
2.1.2
DISPERSION
AND
KERR
NONLINEARITY
..................................................................
14
2.1.3
NORMALIZED
NONLINEAR
SCHRODINGER
EQUATION
...............................................
16
2.2
NONLINEAR
FOURIER
TRANSFORM
........................................................................................
17
2.2.1
LAX
EQUATION
AND
ZAKHAROV-SHABAT
SYSTEM
...............................................
17
2.2.2
NONLINEAR
SPECTRUM
........................................................................................
19
2.2.3
FORWARD
NONLINEAR
FOURIER
TRANSFORM
...........................................................
21
2.2.4
INVERSE
NONLINEAR
FOURIER
TRANSFORM
............................................................
25
2.3
MULTI-SOLITON
TRANSMISSION
SYSTEM
...........................................................................
26
2.3.1
BASIC
CONCEPT
....................................................................................................
26
2.3.2
CHALLENGES
...........................................................................................................
30
3
TIME-BANDWIDTH
ANALYSIS
OF
MULTI-SOLITON
PULSES
33
3.1
SUMMARY
AND
KEY
FINDINGS
........................................................................................
33
3.2
INTRODUCTION
.....................................................................................................................
34
3.3
MULTI-SOLITON
TRANSMISSION
............................................................................................
35
3.3.1
MOTIVATION
AND
SCENARIO
..................................................................................
35
3.3.2
DEFINITION
OF
PULSE
DURATION
AND
BANDWIDTH
...............................................
39
3.4
MULTI-SOLITON
PULSE
OPTIMIZATION
...............................................................................
40
3.4.1
TRANSFORMATIONS
PRESERVING
THE
TIME-BANDWIDTH
PRODUCT
......................
41
3.4.2
EIGENVALUES
ON
THE
IMAGINARY
AXIS
...............................................................
42
3.4.3
EIGENVALUE
REAL
PART
CONSTELLATION
...............................................................
44
3.5
ESTIMATION
OF
TIME-BANDWIDTH
PRODUCT
..................................................................
46
3.6
CONCLUSION
........................................................................................................................
51
3.7
PROOFS
OF
THEOREMS
........................................................................................................
52
4
JOINT
MULTI-SOLITON
PHASE
MODULATION
63
4.1
SUMMARY
AND
KEY
FINDINGS
........................................................................................
63
4.2
INTRODUCTION
.....................................................................................................................
64
4.3
SCENARIO
AND
MOTIVATION
...............................................................................................
65
4.3.1
DEFINITION
OF
PULSE
DURATION
AND
BANDWIDTH
...............................................
65
4.3.2
SPECTRAL
AMPLITUDE
PHASE
MODULATION
..........................................................
66
4.3.3
PULSE
SHAPE
VARIATIONS
.....................................................................................
67
4.3.4
TIME-BANDWIDTH
PRODUCT
AND
IDEAL
SPECTRAL
EFFICIENCY
............................
69
4.4
SUBSET
OF
PHASE
COMBINATIONS
FOR
MODULATION
..........................................................
70
4.5
OPTIMUM
SOLITON
MODULATION
.....................................................................................
73
4.5.1
PARAMETER
OPTIMIZATION
..................................................................................
73
4.5.2
OPTIMUM
SOLITON
PARAMETERS
AND
SPECTRAL
EFFICIENCY
GAIN
......................
76
4.6
CONCLUSION
........................................................................................................................
78
5
SUCCESSIVE
EIGENVALUE
REMOVAL
FOR
DISCRETE
SPECTRUM
ESTIMATION
79
5.1
SUMMARY
AND
KEY
FINDINGS
........................................................................................
79
5.2
INTRODUCTION
.....................................................................................................................
80
5.3
ADDING
AND
REMOVING
EIGENVALUES
BY
THE
DARBOUX
TRANSFORM
..............................
81
5.3.1
ADDING
EIGENVALUES
............................................................................................
82
5.3.2
REMOVING
EIGENVALUES
.....................................................................................
82
5.4
SUCCESSIVE
EIGENVALUE
REMOVAL
ALGORITHM
...............................................................
83
5.4.1
MOTIVATION
...........................................................................................................
83
5.4.2
EIGENVALUE
REMOVAL
AND
TRUNCATION
.................................................................
84
VI
5.5
ANALYSIS
OF
EIGENVALUE
ESTIMATION
ERROR
..................................................................
85
5.6
SIMULATION
RESULTS
........................................................................................................
88
5.6.1
PULSE
DURATION
AND
COMPLEXITY
REDUCTION
..................................................
88
5.6.2
ESTIMATION
ACCURACY
........................................................................................
89
5.7
CONCLUSION
........................................................................................................................
90
5.8
DERIVATION
FOR
EIGENVALUE
REMOVAL
WITH
ESTIMATION
ERROR
......................................
92
6
EFFICIENT
PRECODING
SCHEME
FOR
DUAL-POLARIZATION
SOLITON
TRANSMISSION
95
6.1
SUMMARY
AND
KEY
FINDINGS
........................................................................................
95
6.2
INTRODUCTION
....................................................................................................................
96
6.3
MOTIVATION
-
TRANSFORMATION
OF
B
...............................................................................
98
6.4
DIFFERENTIAL
PRECODING
......................................................................................................
103
6.4.1
ENCODING
...........................................................................................................
104
6.4.2
ESTIMATION
...........................................................................................................
104
6.5
SIMULATION
SETUP
...........................................................................................................
105
6.6
SIMULATION
RESULTS
........................................................................................................
107
6.6.1
FIRST
ORDER
SOLITON
MODULATION
.....................................................................
107
6.6.2
PHASE
MODULATION
FOR
SECOND
ORDER
SOLITON
.................................................
113
6.7
EXPLOITING
THE
DIFFERENTIAL
GAIN:
EFFICIENT
MODULATION
FORMAT
............................
116
6.8
CONCLUSION
.......................................................................................................................
118
7
CONCLUSION
119
BIBLIOGRAPHY
121
VII
|
| adam_txt |
CONTENTS
ACRONYMS
XI
LIST
OF
FIGURES
XV
LIST
OF
TABLES
XXI
ABSTRACT
XXIV
1
INTRODUCTION
1
1.1
OPTICAL
FIBER
COMMUNICATION
SYSTEMS
.
3
1.1.1
DEVELOPMENT
AND
STATE
OF
THE
ART
.
3
1.1.2
NONLINEARITY
LIMITATIONS
.
4
1.1.3
FROM
FIGHTING
TO
EXPLOITING
NONLINEARITY
.
6
1.2
NONLINEAR
FOURIER
TRANSFORM-BASED
TRANSMISSION
.
7
1.2.1
BASIC
IDEA
.
7
1.2.2
HISTORY
.
8
1.2.3
CHALLENGES
.
10
1.3
THESIS
ORGANIZATION
AND
CONTRIBUTION
.
12
2
NONLINEAR
FOURIER
TRANSFORM-BASED
OPTICAL
COMMUNICATIONS
13
2.1
THE
NONLINEAR
OPTICAL
FIBER
CHANNEL
.
13
2.1.1
WAVE
EQUATION
.
13
2.1.2
DISPERSION
AND
KERR
NONLINEARITY
.
14
2.1.3
NORMALIZED
NONLINEAR
SCHRODINGER
EQUATION
.
16
2.2
NONLINEAR
FOURIER
TRANSFORM
.
17
2.2.1
LAX
EQUATION
AND
ZAKHAROV-SHABAT
SYSTEM
.
17
2.2.2
NONLINEAR
SPECTRUM
.
19
2.2.3
FORWARD
NONLINEAR
FOURIER
TRANSFORM
.
21
2.2.4
INVERSE
NONLINEAR
FOURIER
TRANSFORM
.
25
2.3
MULTI-SOLITON
TRANSMISSION
SYSTEM
.
26
2.3.1
BASIC
CONCEPT
.
26
2.3.2
CHALLENGES
.
30
3
TIME-BANDWIDTH
ANALYSIS
OF
MULTI-SOLITON
PULSES
33
3.1
SUMMARY
AND
KEY
FINDINGS
.
33
3.2
INTRODUCTION
.
34
3.3
MULTI-SOLITON
TRANSMISSION
.
35
3.3.1
MOTIVATION
AND
SCENARIO
.
35
3.3.2
DEFINITION
OF
PULSE
DURATION
AND
BANDWIDTH
.
39
3.4
MULTI-SOLITON
PULSE
OPTIMIZATION
.
40
3.4.1
TRANSFORMATIONS
PRESERVING
THE
TIME-BANDWIDTH
PRODUCT
.
41
3.4.2
EIGENVALUES
ON
THE
IMAGINARY
AXIS
.
42
3.4.3
EIGENVALUE
REAL
PART
CONSTELLATION
.
44
3.5
ESTIMATION
OF
TIME-BANDWIDTH
PRODUCT
.
46
3.6
CONCLUSION
.
51
3.7
PROOFS
OF
THEOREMS
.
52
4
JOINT
MULTI-SOLITON
PHASE
MODULATION
63
4.1
SUMMARY
AND
KEY
FINDINGS
.
63
4.2
INTRODUCTION
.
64
4.3
SCENARIO
AND
MOTIVATION
.
65
4.3.1
DEFINITION
OF
PULSE
DURATION
AND
BANDWIDTH
.
65
4.3.2
SPECTRAL
AMPLITUDE
PHASE
MODULATION
.
66
4.3.3
PULSE
SHAPE
VARIATIONS
.
67
4.3.4
TIME-BANDWIDTH
PRODUCT
AND
IDEAL
SPECTRAL
EFFICIENCY
.
69
4.4
SUBSET
OF
PHASE
COMBINATIONS
FOR
MODULATION
.
70
4.5
OPTIMUM
SOLITON
MODULATION
.
73
4.5.1
PARAMETER
OPTIMIZATION
.
73
4.5.2
OPTIMUM
SOLITON
PARAMETERS
AND
SPECTRAL
EFFICIENCY
GAIN
.
76
4.6
CONCLUSION
.
78
5
SUCCESSIVE
EIGENVALUE
REMOVAL
FOR
DISCRETE
SPECTRUM
ESTIMATION
79
5.1
SUMMARY
AND
KEY
FINDINGS
.
79
5.2
INTRODUCTION
.
80
5.3
ADDING
AND
REMOVING
EIGENVALUES
BY
THE
DARBOUX
TRANSFORM
.
81
5.3.1
ADDING
EIGENVALUES
.
82
5.3.2
REMOVING
EIGENVALUES
.
82
5.4
SUCCESSIVE
EIGENVALUE
REMOVAL
ALGORITHM
.
83
5.4.1
MOTIVATION
.
83
5.4.2
EIGENVALUE
REMOVAL
AND
TRUNCATION
.
84
VI
5.5
ANALYSIS
OF
EIGENVALUE
ESTIMATION
ERROR
.
85
5.6
SIMULATION
RESULTS
.
88
5.6.1
PULSE
DURATION
AND
COMPLEXITY
REDUCTION
.
88
5.6.2
ESTIMATION
ACCURACY
.
89
5.7
CONCLUSION
.
90
5.8
DERIVATION
FOR
EIGENVALUE
REMOVAL
WITH
ESTIMATION
ERROR
.
92
6
EFFICIENT
PRECODING
SCHEME
FOR
DUAL-POLARIZATION
SOLITON
TRANSMISSION
95
6.1
SUMMARY
AND
KEY
FINDINGS
.
95
6.2
INTRODUCTION
.
96
6.3
MOTIVATION
-
TRANSFORMATION
OF
B
.
98
6.4
DIFFERENTIAL
PRECODING
.
103
6.4.1
ENCODING
.
104
6.4.2
ESTIMATION
.
104
6.5
SIMULATION
SETUP
.
105
6.6
SIMULATION
RESULTS
.
107
6.6.1
FIRST
ORDER
SOLITON
MODULATION
.
107
6.6.2
PHASE
MODULATION
FOR
SECOND
ORDER
SOLITON
.
113
6.7
EXPLOITING
THE
DIFFERENTIAL
GAIN:
EFFICIENT
MODULATION
FORMAT
.
116
6.8
CONCLUSION
.
118
7
CONCLUSION
119
BIBLIOGRAPHY
121
VII |
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| ctrlnum | (OCoLC)1284922557 (DE-599)KXP1776482824 |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV048447156 |
| illustrated | Illustrated |
| index_date | 2024-07-03T20:29:35Z |
| indexdate | 2024-07-10T09:38:21Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033825375 |
| oclc_num | 1284922557 |
| open_access_boolean | |
| owner | DE-706 |
| owner_facet | DE-706 |
| physical | xxiii, 131 Seiten Illustrationen, Diagramme 21 cm |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| record_format | marc |
| spelling | Span, Alexander Verfasser (DE-588)1245408798 aut Nonlinear Fourier transform-based multi-soliton transmission for optical communications vorgelegt von Alexander Span aus Stuttgart Stuttgart 2021 xxiii, 131 Seiten Illustrationen, Diagramme 21 cm txt rdacontent n rdamedia nc rdacarrier Dissertation Universität Stuttgart 2021 Optische Nachrichtenübertragung (DE-588)4172668-6 gnd rswk-swf Photonik (DE-588)4243979-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Optische Nachrichtenübertragung (DE-588)4172668-6 s Photonik (DE-588)4243979-6 s DE-604 B:DE-101 application/pdf https://d-nb.info/1251563899/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033825375&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p aepsg 0,96782 20220221 DE-101 https://d-nb.info/provenance/plan#aepsg |
| spellingShingle | Span, Alexander Nonlinear Fourier transform-based multi-soliton transmission for optical communications Optische Nachrichtenübertragung (DE-588)4172668-6 gnd Photonik (DE-588)4243979-6 gnd |
| subject_GND | (DE-588)4172668-6 (DE-588)4243979-6 (DE-588)4113937-9 |
| title | Nonlinear Fourier transform-based multi-soliton transmission for optical communications |
| title_auth | Nonlinear Fourier transform-based multi-soliton transmission for optical communications |
| title_exact_search | Nonlinear Fourier transform-based multi-soliton transmission for optical communications |
| title_exact_search_txtP | Nonlinear Fourier transform-based multi-soliton transmission for optical communications |
| title_full | Nonlinear Fourier transform-based multi-soliton transmission for optical communications vorgelegt von Alexander Span aus Stuttgart |
| title_fullStr | Nonlinear Fourier transform-based multi-soliton transmission for optical communications vorgelegt von Alexander Span aus Stuttgart |
| title_full_unstemmed | Nonlinear Fourier transform-based multi-soliton transmission for optical communications vorgelegt von Alexander Span aus Stuttgart |
| title_short | Nonlinear Fourier transform-based multi-soliton transmission for optical communications |
| title_sort | nonlinear fourier transform based multi soliton transmission for optical communications |
| topic | Optische Nachrichtenübertragung (DE-588)4172668-6 gnd Photonik (DE-588)4243979-6 gnd |
| topic_facet | Optische Nachrichtenübertragung Photonik Hochschulschrift |
| url | https://d-nb.info/1251563899/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033825375&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT spanalexander nonlinearfouriertransformbasedmultisolitontransmissionforopticalcommunications |
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