Fast near-field antenna measurements by application of compressed sensing:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Aachen
Apprimus Verlag
2021
|
| Edition: | 1. Auflage |
| Series: | Elektro- und Informationstechnik
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | VI, 148 Seiten Diagramme 21 cm x 14.8 cm, 240 g |
| ISBN: | 9783863599560 386359956X |
Staff View
MARC
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| 245 | 1 | 0 | |a Fast near-field antenna measurements by application of compressed sensing |c Cosme Culotta-López |
| 250 | |a 1. Auflage | ||
| 263 | |a 202104 | ||
| 264 | 1 | |a Aachen |b Apprimus Verlag |c 2021 | |
| 300 | |a VI, 148 Seiten |b Diagramme |c 21 cm x 14.8 cm, 240 g | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Elektro- und Informationstechnik | |
| 502 | |b Dissertation |c Rheinisch-Westfälische Technische Hochschule Aachen |d 2021 | ||
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
1
INTRODUCTION
1
2
MULTIPOLE
EXPANSION
OF
RADIATED
FIELDS
5
2.1
SPHERICAL
WAVE
EXPANSION:
SPHERICAL
HARMONICS
..................................
5
2.2
SCATTERING
MATRIX
DESCRIPTION
................................................................
11
2.3
TRANSMISSION
FORMULA:
WIGNER
D-BASIS
EXPANSION
...............................
13
2.4
RADIATION
CENTER
BASED
ON
SPHERICAL
MODE
COEFFICIENTS
......................
16
3
SOLVERS:
OBTAINING
THE
SOLUTION
TO
THE
TRANSMISSION
FORMULA
19
3.1
SOLVERS
FOR
A
SYSTEM
OF
LINEAR
EQNATIONS
..............................................
19
3.1.1
DIRECT
METHODS
.................................................................................
20
3.1.2
ITERATIVE
METHODS
..............................................................................
20
3.2
THE
WACKER
ALGORITHM
.................................................................................
21
3.3
POINTWISE
PROBE
CORRECTION
.......................................................................
23
4
SAMPLING
SCHEMES
FOR
SPHERICAL
NEAR-FIELD
MEASUREMENTS
27
4.1
PLATONIC
APPROACHES
....................................................................................
29
4.2
EQUIANGULAR
AND
THINNED
EQUIANGULAR
SAMPLINGS
...................................
30
4.3
SPIRAL
SAMPLING
.............................................................................................
34
4.4
RANDOM
SAMPLING
.......................................................................................
35
4.5
SUMMARY
......................................................................................................
36
5
COMPRESSED
SENSING
39
5.1
COMPRESSED
SENSING
IN
THE
NEAR-FIELD-TO-FAR-FIELD
TRANSFORMATION
.
41
5.1.1
SOLVER
PERFORMANCE
..........................................................................
43
5.1.2
ON
THE
ERROR
DEFINITION
.................................................................
45
5.1.3
APPLICATION:
RECONSTRUCTION-PROBABILITY
CURVES
.........................
46
5.2
SUMMARY
......................................................................................................
48
6
A
COMPRESSED
SAMPLING
FOR
SPHERICAL
NEAR-FIELD
ANTENNA
MEASURE
MENTS
49
6.1
MINIMUM-COHERENCE
SAMPLING
....................................................................
49
6.1.1
LOWER
BOUND
AND
SAMPLING
SCHEME
CALCULATION
...........................
49
6.1.2
NUMERICAL
EXPERIMENTS
....................................................................
54
6.2
IMPLEMENTATION
CONSIDERATIONS
.................................................................
60
6.2.1
IMPLEMENTATION
METHOD
.................................................................
60
6.2.2
NUMERICAL
EXPERIMENTS
....................................................................
66
6.2.3
MEASUREMENT
RESULTS
.......................................................................
71
6.3
INFLUENCE
OF
THE
TRANSFORMATION
MATRIX
.....................................................
75
6.4
SUMMARY
..................................................................................................
76
VI
CONTENTS
7
PROJECTION
ONTO
ARBITRARY
SURFACES
USING
POINTWISE
PROBE
CORRECTION
79
7.1
PROJECTION
ONTO
CYLINDRICAL
SURFACES
...........................................................
80
7.2
PROJECTION
ONTO
PLANAR
SURFACES
..................................................................
83
7.3
SUMMARY
.......................................................................................................
85
8
PRACTICAL
CONSIDERATIONS
FOR
COMPRESSED
MEASUREMENTS
87
8.1
BASIS
MISMATCH
.............................................................................................
87
8.1.1
MECHANICAL
MISMATCH
........................................................................
88
8.1.2
SETUP
MISMATCH
.................................................................................
88
8.2
ALIASING
..........................................................................................................
89
8.3
ADAPTIVE
SAMPLING
.......................................................................................
92
8.3.1
CORRELATION
BETWEEN
ERROR
AND
CONSECUTIVE
RECONSTRUCTIONS
.
93
8.3.2
AN
IMPLEMENTATION
OF
AN
ADAPTIVE
COMPRESSED
SAMPLING
...
93
8.4
SUMMARY
.......................................................................................................
98
9
COMPRESSED
SENSING
IN
PHASELESS
SPHERICAL
NEAR-FIELD
ANTENNA
MEA
SUREMENTS
101
9.1
ALGORITHMS
FOR
SPARSE
PHASE
RETRIEVAL
....................................................
102
9.1.1
COMPRESSIVE
PHASELIFT
....................................................................
102
9.1.2
SPARTA
....................................................
102
9.1.3
COPRAM
.........................................................................................
103
9.2
NUMERICAL
EXPERIMENTS
...............................................................................
105
9.3
SUMMARY
.....................................................................................................
105
10
CONCLUSION
107
A
OPERATIONS
ON
SPHERICAL
WAVES
111
A.L
ROTATION
OF
SPHERICAL
WAVES
.....................................................................
ILL
A.
2
TRANSLATION
OF
SPHERICAL
WAVES
.................................................................
113
B
ORTHOGONALITY
OF
WIGNER
D-FUNCTIONS
117
C
SPARSITY
AND
MODAL
STRUCTURE
WITH
DEPENDENCE
ON
ORIENTATION
AND
PO
LARIZATION
119
C.L
POLARIZATION
OF
THE
SPHERICAL
MODES
ON
THE
CARTESIAN
AXES
................
119
C.2
LINEARLY
POLARIZED
HORN
ANTENNA
.............................................................
121
C.3
CIRCULARLY
POLARIZED
HELIX
ANTENNA
..........................................................
124
LIST
OF
FIGURES
127
LIST
OF
TABLES
131
LIST
OF
ABBREVIATIONS
133
BIBLIOGRAPHY
135
LIST
OF
PUBLICATIONS
147
CURRICULUM
VITAE
149
|
| adam_txt |
CONTENTS
1
INTRODUCTION
1
2
MULTIPOLE
EXPANSION
OF
RADIATED
FIELDS
5
2.1
SPHERICAL
WAVE
EXPANSION:
SPHERICAL
HARMONICS
.
5
2.2
SCATTERING
MATRIX
DESCRIPTION
.
11
2.3
TRANSMISSION
FORMULA:
WIGNER
D-BASIS
EXPANSION
.
13
2.4
RADIATION
CENTER
BASED
ON
SPHERICAL
MODE
COEFFICIENTS
.
16
3
SOLVERS:
OBTAINING
THE
SOLUTION
TO
THE
TRANSMISSION
FORMULA
19
3.1
SOLVERS
FOR
A
SYSTEM
OF
LINEAR
EQNATIONS
.
19
3.1.1
DIRECT
METHODS
.
20
3.1.2
ITERATIVE
METHODS
.
20
3.2
THE
WACKER
ALGORITHM
.
21
3.3
POINTWISE
PROBE
CORRECTION
.
23
4
SAMPLING
SCHEMES
FOR
SPHERICAL
NEAR-FIELD
MEASUREMENTS
27
4.1
PLATONIC
APPROACHES
.
29
4.2
EQUIANGULAR
AND
THINNED
EQUIANGULAR
SAMPLINGS
.
30
4.3
SPIRAL
SAMPLING
.
34
4.4
RANDOM
SAMPLING
.
35
4.5
SUMMARY
.
36
5
COMPRESSED
SENSING
39
5.1
COMPRESSED
SENSING
IN
THE
NEAR-FIELD-TO-FAR-FIELD
TRANSFORMATION
.
41
5.1.1
SOLVER
PERFORMANCE
.
43
5.1.2
ON
THE
ERROR
DEFINITION
.
45
5.1.3
APPLICATION:
RECONSTRUCTION-PROBABILITY
CURVES
.
46
5.2
SUMMARY
.
48
6
A
COMPRESSED
SAMPLING
FOR
SPHERICAL
NEAR-FIELD
ANTENNA
MEASURE
MENTS
49
6.1
MINIMUM-COHERENCE
SAMPLING
.
49
6.1.1
LOWER
BOUND
AND
SAMPLING
SCHEME
CALCULATION
.
49
6.1.2
NUMERICAL
EXPERIMENTS
.
54
6.2
IMPLEMENTATION
CONSIDERATIONS
.
60
6.2.1
IMPLEMENTATION
METHOD
.
60
6.2.2
NUMERICAL
EXPERIMENTS
.
66
6.2.3
MEASUREMENT
RESULTS
.
71
6.3
INFLUENCE
OF
THE
TRANSFORMATION
MATRIX
.
75
6.4
SUMMARY
.
76
VI
CONTENTS
7
PROJECTION
ONTO
ARBITRARY
SURFACES
USING
POINTWISE
PROBE
CORRECTION
79
7.1
PROJECTION
ONTO
CYLINDRICAL
SURFACES
.
80
7.2
PROJECTION
ONTO
PLANAR
SURFACES
.
83
7.3
SUMMARY
.
85
8
PRACTICAL
CONSIDERATIONS
FOR
COMPRESSED
MEASUREMENTS
87
8.1
BASIS
MISMATCH
.
87
8.1.1
MECHANICAL
MISMATCH
.
88
8.1.2
SETUP
MISMATCH
.
88
8.2
ALIASING
.
89
8.3
ADAPTIVE
SAMPLING
.
92
8.3.1
CORRELATION
BETWEEN
ERROR
AND
CONSECUTIVE
RECONSTRUCTIONS
.
93
8.3.2
AN
IMPLEMENTATION
OF
AN
ADAPTIVE
COMPRESSED
SAMPLING
.
93
8.4
SUMMARY
.
98
9
COMPRESSED
SENSING
IN
PHASELESS
SPHERICAL
NEAR-FIELD
ANTENNA
MEA
SUREMENTS
101
9.1
ALGORITHMS
FOR
SPARSE
PHASE
RETRIEVAL
.
102
9.1.1
COMPRESSIVE
PHASELIFT
.
102
9.1.2
SPARTA
.
102
9.1.3
COPRAM
.
103
9.2
NUMERICAL
EXPERIMENTS
.
105
9.3
SUMMARY
.
105
10
CONCLUSION
107
A
OPERATIONS
ON
SPHERICAL
WAVES
111
A.L
ROTATION
OF
SPHERICAL
WAVES
.
ILL
A.
2
TRANSLATION
OF
SPHERICAL
WAVES
.
113
B
ORTHOGONALITY
OF
WIGNER
D-FUNCTIONS
117
C
SPARSITY
AND
MODAL
STRUCTURE
WITH
DEPENDENCE
ON
ORIENTATION
AND
PO
LARIZATION
119
C.L
POLARIZATION
OF
THE
SPHERICAL
MODES
ON
THE
CARTESIAN
AXES
.
119
C.2
LINEARLY
POLARIZED
HORN
ANTENNA
.
121
C.3
CIRCULARLY
POLARIZED
HELIX
ANTENNA
.
124
LIST
OF
FIGURES
127
LIST
OF
TABLES
131
LIST
OF
ABBREVIATIONS
133
BIBLIOGRAPHY
135
LIST
OF
PUBLICATIONS
147
CURRICULUM
VITAE
149 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Culotta-López, Cosme |
| author_GND | (DE-588)123084354X |
| author_facet | Culotta-López, Cosme |
| author_role | aut |
| author_sort | Culotta-López, Cosme |
| author_variant | c c l ccl |
| building | Verbundindex |
| bvnumber | BV047250061 |
| classification_rvk | ZQ 3420 ZN 6400 |
| ctrlnum | (OCoLC)1249664032 (DE-599)DNB1230633413 |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| discipline_str_mv | Elektrotechnik / Elektronik / Nachrichtentechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| edition | 1. Auflage |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV047250061 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T17:07:24Z |
| indexdate | 2024-07-10T09:06:49Z |
| institution | BVB |
| institution_GND | (DE-588)1068101474 |
| isbn | 9783863599560 386359956X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032654164 |
| oclc_num | 1249664032 |
| open_access_boolean | |
| owner | DE-29T DE-83 |
| owner_facet | DE-29T DE-83 |
| physical | VI, 148 Seiten Diagramme 21 cm x 14.8 cm, 240 g |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | Apprimus Verlag |
| record_format | marc |
| series2 | Elektro- und Informationstechnik |
| spelling | Culotta-López, Cosme Verfasser (DE-588)123084354X aut Fast near-field antenna measurements by application of compressed sensing Cosme Culotta-López 1. Auflage 202104 Aachen Apprimus Verlag 2021 VI, 148 Seiten Diagramme 21 cm x 14.8 cm, 240 g txt rdacontent n rdamedia nc rdacarrier Elektro- und Informationstechnik Dissertation Rheinisch-Westfälische Technische Hochschule Aachen 2021 Antennennahfeld (DE-588)4142615-0 gnd rswk-swf Strahlungscharakteristik (DE-588)4057852-5 gnd rswk-swf Komprimierte Abtastung (DE-588)1036377245 gnd rswk-swf Multipolentwicklung (DE-588)4170738-2 gnd rswk-swf Antennenmesstechnik (DE-588)4142613-7 gnd rswk-swf Messtechnik Qualität Antennas Compressed Sensing (DE-588)4113937-9 Hochschulschrift gnd-content Antennenmesstechnik (DE-588)4142613-7 s Antennennahfeld (DE-588)4142615-0 s Strahlungscharakteristik (DE-588)4057852-5 s Multipolentwicklung (DE-588)4170738-2 s Komprimierte Abtastung (DE-588)1036377245 s DE-604 Apprimus Verlag (DE-588)1068101474 pbl X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4727eb28db044b848645d44dcf5b961e&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032654164&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p dnb 20210329 DE-101 https://d-nb.info/provenance/plan#dnb |
| spellingShingle | Culotta-López, Cosme Fast near-field antenna measurements by application of compressed sensing Antennennahfeld (DE-588)4142615-0 gnd Strahlungscharakteristik (DE-588)4057852-5 gnd Komprimierte Abtastung (DE-588)1036377245 gnd Multipolentwicklung (DE-588)4170738-2 gnd Antennenmesstechnik (DE-588)4142613-7 gnd |
| subject_GND | (DE-588)4142615-0 (DE-588)4057852-5 (DE-588)1036377245 (DE-588)4170738-2 (DE-588)4142613-7 (DE-588)4113937-9 |
| title | Fast near-field antenna measurements by application of compressed sensing |
| title_auth | Fast near-field antenna measurements by application of compressed sensing |
| title_exact_search | Fast near-field antenna measurements by application of compressed sensing |
| title_exact_search_txtP | Fast near-field antenna measurements by application of compressed sensing |
| title_full | Fast near-field antenna measurements by application of compressed sensing Cosme Culotta-López |
| title_fullStr | Fast near-field antenna measurements by application of compressed sensing Cosme Culotta-López |
| title_full_unstemmed | Fast near-field antenna measurements by application of compressed sensing Cosme Culotta-López |
| title_short | Fast near-field antenna measurements by application of compressed sensing |
| title_sort | fast near field antenna measurements by application of compressed sensing |
| topic | Antennennahfeld (DE-588)4142615-0 gnd Strahlungscharakteristik (DE-588)4057852-5 gnd Komprimierte Abtastung (DE-588)1036377245 gnd Multipolentwicklung (DE-588)4170738-2 gnd Antennenmesstechnik (DE-588)4142613-7 gnd |
| topic_facet | Antennennahfeld Strahlungscharakteristik Komprimierte Abtastung Multipolentwicklung Antennenmesstechnik Hochschulschrift |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4727eb28db044b848645d44dcf5b961e&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032654164&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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