Quantized compressive sampling for structured signal estimation:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Aachen
Verlagshaus Mainz GmbH
2019
|
| Edition: | 1. Auflage |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Physical Description: | x, 189 Seiten Illustrationen |
| ISBN: | 9783958862913 3958862918 |
Staff View
MARC
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| 100 | 1 | |a Koep, Niklas |d 1988- |e Verfasser |0 (DE-588)119113055X |4 aut | |
| 245 | 1 | 0 | |a Quantized compressive sampling for structured signal estimation |c vorgelegt von Niklas Koep, M.Sc. |
| 250 | |a 1. Auflage | ||
| 264 | 1 | |a Aachen |b Verlagshaus Mainz GmbH |c 2019 | |
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| 502 | |b Dissertation |c Technische Hochschule Aachen |d 2019 | ||
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Record in the Search Index
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| adam_text | CONTENTS
LIST
OF
FIGURES
IX
1
INTRODUCTION
1
1.1
THESIS
OUTLINE
..................................................................................................
3
1.2
CONTRIBUTIONS
..................................................................................................
4
2
BACKGROUND
7
2.1
NOTATION
...........................................................................................................
7
2.2
COMPRESSED
SENSING
......................................................................................
8
2.3
QUANTIZED
COMPRESSED
SENSING
....................................................................
12
2.3.1
ONE-BIT
COMPRESSED
SENSING
..............................................................
15
3
FREQUENCY-SPARSE
SIGNAL
RECOVERY
FROM
BINARY
MEASUREMENTS
19
3.1
COMPRESSIVE
SAMPLING
OF
FREQUENCY-SPARSE
SIGNALS
....................................
21
3.1.1
CONJUGATE
SYMMETRIC
FREQUENCY-SPARSE
SIGNALS
..............................
23
3.2
BINARY
ITERATIVE
HARD
THRESHOLDING
..............................................................
23
3.3
CONJUGATE
SYMMETRIC
BINARY
ITERATIVE
HARD
THRESHOLDING
........................
27
3.3.1
REFORMULATION
OF
THE
SUBGRADIENT
ITERATION
.......................................
28
3.3.2
THE
HARD
THRESHOLDING
OPERATOR
FOR
CONJUGATE
SYMMETRIC
VECTORS
29
3.3.3
EXTENSION
TO
OVERSAMPLED
TIME
DOMAIN
MEASUREMENTS
..................
31
3.4
NUMERICAL
EVALUATION
......................................................................................
33
3.4.1
SIMULATION
SETUP
................................................................................
33
3.4.2
NOISELESS
RECOVERY
.............................................................................
36
3.4.3
NOISY
RECOVERY
...................................................................................
38
3.4.4
RECOVERY
FROM
OVERSAMPLED
MEASUREMENTS
........................................
41
3.5
CONCLUSION
........................................................................................................
43
4
ONE-BIT
COMPRESSED
SENSING
OF
GROUP-SPARSE
SIGNALS
45
4.1
SIGNAL
AND
ACQUISITION
MODEL
.......................................................................
47
4.2
PRIOR
WORK
.....................................................................................................
49
4.3
DIRECTION
RECOVERY
OF
GROUP-SPARSE
SIGNALS
.................................................
50
4.3.1
QUANTIZATION-CONSISTENT
RECONSTRUCTION
..........................................
51
4.3.2
CORRELATION
MAXIMIZATION
.................................................................
65
4.3.3
GROUP
HARD
THRESHOLDING
.................................................................
68
4.3.4
NUMERICAL
EVALUATION
..........................................................................
72
4.4
RECOVERY
FROM
DITHERED
OBSERVATIONS
...........................................................
78
C
ONTENTS
4.4.1
RECONSTRUCTION
VIA
QUANTIZATION
CONSISTENCY
....................................
81
4.4.2
CORRELATION
MAXIMIZATION
.................................................................
91
4.4.3
GROUP
HARD
THRESHOLDING
....................................................................
101
4.4.4
NUMERICAL
EVALUATION
.............................................................................
105
4.5
CONCLUSION
...........................................................................................................
ILL
5
GROUP-SPARSE
SIGNAL
RECOVERY
WITH
BLOCK
DIAGONAL
MATRICES
115
5.1
SIGNAL
RECOVERY
WITH
BLOCK
DIAGONAL
GROUP-RIP
MATRICES
..........................
118
5.2
PRIOR
WORK
........................................................................................................
120
5.3
THE
GROUP-RIP
FOR
GENERAL
BLOCK
DIAGONAL
MATRICES
...................................
125
5.3.1
CHAOS
PROCESS
FOR
BLOCK-DIAGONAL
GROUP-RIP
MATRICES
......................
127
5.3.2
RADII
ESTIMATES
......................................................................................
128
5.3.3
METRIC
ENTROPY
BOUND
..........................................................................
130
5.3.4
STABLE
AND
ROBUST
GROUP-SPARSE
RECOVERY
WITH
GENERAL
BLOCK
DI
AGONAL
OPERATORS
...................................................................................
138
5.4
THE
GROUP-RIP
FOR
BLOCK
DIAGONAL
MATRICES
WITH
REPEATED
BLOCKS
....
140
5.4.1
FORMULATION
AS
A
CHAOS
PROCESS
...........................................................
140
5.4.2
ESTIMATION
OF
RADII
AND
THE
METRIC
ENTROPY
.......................................
141
5.5
DISCUSSION
...........................................................................................................
144
5.5.1
INFLUENCE
OF
THE
COHERENCE
PARAMETER
..................................................
144
5.5.2
REDUCTION
TO
SPARSE
VECTOR
RECOVERY
..................................................
144
5.5.3
COMPARISON
TO
DENSE
MEASUREMENT
MATRICES
......................................
145
5.5.4
DISTRIBUTED
COMPRESSED
SENSING
...........................................................
146
5.6
EMPIRICAL
PHASE
TRANSITION
EVALUATION
...........................................................
148
5.7
CONCLUSION
...........................................................................................................
153
6
CONCLUSION
155
6.1
SUMMARY
...........................................................................................................
156
6.2
OUTLOOK
AND
FUTURE
WORK
................................................................................
158
A
MATHEMATICAL
PRELIMINARIES
161
A.L
RANDOM
VARIABLES
AND
SUBGAUSSIAN
DISTRIBUTIONS
.........................................
161
A.
2
CONVEX
ANALYSIS
AND
GEOMETRIC
FUNCTIONAL
ANALYSIS
.......................................
164
B
STABLE
AND
ROBUST
RECOVERY
VIA
GROUP-RIP
MATRICES
169
B.
L
ROBUST
GROUP-NSP
...........................................................................................
169
B.2
THE
GROUP-RIP
IMPLIES
THE
O-ROBUST
GROUP-NSP
.........................................
172
LIST
OF
ABBREVIATIONS
175
LIST
OF
SYMBOLS
177
REFERENCES
181
VIII
|
| any_adam_object | 1 |
| author | Koep, Niklas 1988- |
| author_GND | (DE-588)119113055X |
| author_facet | Koep, Niklas 1988- |
| author_role | aut |
| author_sort | Koep, Niklas 1988- |
| author_variant | n k nk |
| building | Verbundindex |
| bvnumber | BV046422782 |
| classification_rvk | ZN 6040 |
| ctrlnum | (OCoLC)1143798359 (DE-599)DNB1190464039 |
| dewey-full | 621.3822 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.3822 |
| dewey-search | 621.3822 |
| dewey-sort | 3621.3822 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 1. Auflage |
| format | Thesis Book |
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| id | DE-604.BV046422782 |
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| indexdate | 2024-07-10T08:44:12Z |
| institution | BVB |
| isbn | 9783958862913 3958862918 |
| language | English |
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| physical | x, 189 Seiten Illustrationen |
| publishDate | 2019 |
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| spelling | Koep, Niklas 1988- Verfasser (DE-588)119113055X aut Quantized compressive sampling for structured signal estimation vorgelegt von Niklas Koep, M.Sc. 1. Auflage Aachen Verlagshaus Mainz GmbH 2019 x, 189 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Dissertation Technische Hochschule Aachen 2019 Signalverarbeitung (DE-588)4054947-1 gnd rswk-swf Quantisierung Nachrichtentechnik (DE-588)4391959-5 gnd rswk-swf Komprimierte Abtastung (DE-588)1036377245 gnd rswk-swf Schätzung (DE-588)4193791-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Signalverarbeitung (DE-588)4054947-1 s Komprimierte Abtastung (DE-588)1036377245 s Quantisierung Nachrichtentechnik (DE-588)4391959-5 s Schätzung (DE-588)4193791-0 s DE-604 B:DE-101 application/pdf https://d-nb.info/1190464039/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031835179&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Koep, Niklas 1988- Quantized compressive sampling for structured signal estimation Signalverarbeitung (DE-588)4054947-1 gnd Quantisierung Nachrichtentechnik (DE-588)4391959-5 gnd Komprimierte Abtastung (DE-588)1036377245 gnd Schätzung (DE-588)4193791-0 gnd |
| subject_GND | (DE-588)4054947-1 (DE-588)4391959-5 (DE-588)1036377245 (DE-588)4193791-0 (DE-588)4113937-9 |
| title | Quantized compressive sampling for structured signal estimation |
| title_auth | Quantized compressive sampling for structured signal estimation |
| title_exact_search | Quantized compressive sampling for structured signal estimation |
| title_full | Quantized compressive sampling for structured signal estimation vorgelegt von Niklas Koep, M.Sc. |
| title_fullStr | Quantized compressive sampling for structured signal estimation vorgelegt von Niklas Koep, M.Sc. |
| title_full_unstemmed | Quantized compressive sampling for structured signal estimation vorgelegt von Niklas Koep, M.Sc. |
| title_short | Quantized compressive sampling for structured signal estimation |
| title_sort | quantized compressive sampling for structured signal estimation |
| topic | Signalverarbeitung (DE-588)4054947-1 gnd Quantisierung Nachrichtentechnik (DE-588)4391959-5 gnd Komprimierte Abtastung (DE-588)1036377245 gnd Schätzung (DE-588)4193791-0 gnd |
| topic_facet | Signalverarbeitung Quantisierung Nachrichtentechnik Komprimierte Abtastung Schätzung Hochschulschrift |
| url | https://d-nb.info/1190464039/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031835179&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT koepniklas quantizedcompressivesamplingforstructuredsignalestimation |
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