Wave field analysis using virtual circular microphone arrays:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
München
Hut
2009
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| Ausgabe: | 1. Aufl. |
| Schriftenreihe: | Ingenieurwissenschaften
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 264 S. Ill., graph. Darst. |
| ISBN: | 9783868530063 |
Internformat
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Datensatz im Suchindex
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| adam_text | ***] * 5 ** [W] **I ACHIM KUNTZ WAVE FIELD ANALYSIS USING VIRTUAL
CIRCULAR MICROPHONE ARRAYS ** CONTENTS ABSTRACT V ZUSAMMENFASSUNG VII 1
INTRODUCTION L 2 MULTIDIMENSIONAL SIGNALS AND WAVE FIELDS 9 2.1 ONE
DIMENSIONAL SIGNALS 9 2.1.1 FOURIER TRANSFORM 10 2.1.2 PERIODIC SIGNALS
11 2.2 (3+L)D SIGNALS AND THE MD FOURIER TRANSFORM 11 2.2.1 MD SIGNALS
12 2.2.2 TEMPORAL FOURIER TRANSFORM 12 2.2.3 (3+L)D SIGNALS IN CARTESIAN
COORDINATES 12 2.2.4 (3+L)D SIGNALS IN CYLINDRICAL COORDINATES 13
2.2.4.1 SPATIAL FOURIER TRANSFORM IN CYLINDRICAL COORDINATES ... 13
2.2.4.2 FOURIER SERIES REPRESENTATIONS AND THE MODIFIED HANKEL TRANSFORM
15 2.2.5 (3+L)D SIGNALS IN SPHERICAL COORDINATES 16 2.2.5.1 SPATIAL
FOURIER TRANSFORM IN SPHERICAL COORDINATES .... 17 2.2.5.2 SPHERICAL
HARMONICS REPRESENTATION AND THE MODIFIED SPHER ICAL HANKEL TRANSFORM
17 2.2.6 SPATIO-TEMPORAL MD FOURIER TRANSFORM FOR (3+L)D SIGNALS 19
2.2.7 RELATIONS BETWEEN DIFFERENT REPRESENTATIONS 19 2.3 (2+L)D SIGNALS
AND (2+L)D REPRESENTATIONS 20 2.3.1 (2+L)D SIGNALS * (3+L)D SIGNALS 21
2.3.2 (2+L)D SIGNALS IN 2D CARTESIAN COORDINATES 22 2.3.2.1 SPATIAL
FOURIER TRANSFORM FOR (2+L)D SIGNALS 22 2.3.3 (2+L)D SIGNALS IN POLAR
COORDINATES 23 2.3.4 (2+L)D SIGNALS IN SPHERICAL COORDINATES 24 X
CONTENTS 2.3.5 RELATIONS BETWEEN (2+L)D REPRESENTATIONS AND (3+L)D
REPRESEN- TATIONS 25 2.4 FUNDAMENTALS OF ACOUSTIC WAVE FIELDS 26 2.4.1
HOMOGENEOUS WAVE EQUATION 26 2.4.1.1 DERIVATION 26 2.4.1.2 FOURIER
TRANSFORMS OF THE WAVE EQUATION 28 2.4.2 INHOMOGENEOUS WAVE EQUATION 29
2.4.2.1 POINT SOURCES 29 2.4.2.2 LINE SOURCES 30 2.4.2.3 PLANE WAVE
SOURCES 31 2.4.2.4 ARBITRARY SOURCE DISTRIBUTIONS 33 2.4.2.5 HUYGENS
PRINCIPLE AND THE HELMHOLTZ INTEGRAL EQUATION . 35 2.4.2.6 NEUMANN AND
DIRICHLET GREEN FUNCTIONS 37 2.5 3D WAVE FIELDS AS (3+L)D SIGNALS 40
2.5.1 GENERIC DERIVATION OF WAVE FIELD EXPANSIONS 40 2.5.2 WAVE FIELDS
IN 3D CARTESIAN COORDINATES 41 2.5.2.1 PLANE WAVE DECOMPOSITION IN 3D
CARTESIAN COORDINATES . 42 2.5.2.2 SPATIO-TEMPORAL SPECTRUM OF WAVE
FIELDS IN CARTESIAN COORDINATES 45 2.5.3 WAVE FIELDS IN CYLINDRICAL
COORDINATES 46 2.5.3.1 CYLINDRICAL HARMONICS DECOMPOSITION 47 2.5.3.2
PLANE WAVE DECOMPOSITION IN CYLINDRICAL COORDINATES . . 49 2.5.3.3 PLANE
WAVE DECOMPOSITION DERIVED FROM THE CYLINDRICAL HARMONICS DECOMPOSITION
51 2.5.3.4 INTERPRETATION OF THE PLANE WAVE DECOMPOSITION AND ITS
INVERSE AS ANGULAR CONVOLUTIONS 52 2.5.3.5 WAVE FIELDS WITH LIMITED
MODAL BANDWIDTH 54 2.5.3.6 RELATIONS OF WAVE FIELDS TO MD SIGNALS IN
CYLINDRICAL COORDINATES 56 2.5.4 WAVE FIELDS IN SPHERICAL COORDINATES 57
2.5.4.1 SPHERICAL HARMONICS DECOMPOSITION 57 2.5.4.2 PLANE WAVE
DECOMPOSITION IN SPHERICAL COORDINATES ... 59 2.5.4.3 PLANE WAVE
DECOMPOSITION DERIVED FROM THE SPHERICAL HARMONICS DECOMPOSITION 60
2.5.5 RELATIONS BETWEEN REPRESENTATIONS OF 3D WAVE FIELDS IN DIFFERENT
COORDINATE SYSTEMS 62 2.5.6 3D WAVE FIELD REPRESENTATIONS AND THE
HELMHOLTZ INTEGRAL EQUATION 64 2.5.6.1 TRANSITIONS FROM THE HELMHOLTZ
INTEGRAL REPRESENTATION . . 64 2.5.6.2 TRANSITIONS TO THE HELMHOLTZ
INTEGRAL REPRESENTATION ... 67 CONTENTS XI 2.6 2D WAVE FIELDS 68 2.6.1
PROPERTIES OF 2D WAVE FIELDS 68 2.6.2 2D WAVE FIELDS IN 2D CARTESIAN
COORDINATES 69 2.6.3 2D WAVE FIELDS IN POLAR COORDINATES 71 2.6.4 2D
WAVE FIELDS AND THE HELMHOLTZ INTEGRAL EQUATION 74 2.6.5 RELATIONS OF 2D
WAVE FIELD REPRESENTATIONS 75 3 WAVE FIELD ANALYSIS 79 3.1 WAVE FIELD
ANALYSIS CONCEPT AND MEASUREMENT EFFECTS 80 3.2 ANALYSIS OF 2D FIELDS 84
3.2.1 ANALYSIS BASED ON CIRCULAR APERTURES 85 3.2.1.1 PRINCIPLE OF 2D
WAVE FIELD ANALYSIS BASED ON THE CIRCULAR HARMONICS DECOMPOSITION 86
3.2.1.2 CIRCULAR HARMONICS DECOMPOSITION DERIVED USING MICRO- PHONES
WITH FIRST ORDER DIRECTIVITY 88 3.2.1.3 CIRCULAR HARMONICS DECOMPOSITION
DERIVED USING A SCAT- TERER INSIDE THE ARRAY 93 3.2.1.4 SEPARATION OF
CONVERGING AND DIVERGING WAVES USING PRES- SURE AND VELOCITY SIGNALS 95
3.2.1.5 CIRCULAR HARMONICS ANALYSIS USING MEASUREMENTS ON TWO RADII 97
3.2.2 WAVE FIELD ANALYSIS BASED ON DIFFERENT 2D MEASUREMENT GEOMETRIES
98 3.2.2.1 HELMHOLTZ INTEGRAL BASED APPROACH 98 3.2.2.2 WAVE FIELD
ANALYSIS BASED ON 2D FOURIER TRANSFORMS ... 99 3.2.2.3 2D HOA BASED ON
SPHERICAL HARMONICS 101 3.2.3 MODAL BEAMFORMING 104 3.3 ANALYSIS OF 3D
FIELDS 105 3.3.1 ANALYSIS USING SPHERICAL ARRAYS 105 3.3.1.1 WAVE FIELD
ANALYSIS BASED ON SPHERICAL HARMONICS .... 106 3.3.1.2 SPHERICAL
HARMONICS DECOMPOSITION FOR AMBISONICS SYSTEMSL07 3.3.1.3 PLANE WAVE
DECOMPOSITION BASED ON SPHERICAL MEASURE- MENTS 107 3.3.1.4 BEAMFORMING
BASED ON SPHERICAL HARMONICS DECOMPOSITION 109 3.3.2 ANALYSIS USING
ARBITRARY ARRAYS 109 3.3.3 EXISTING APPROACHES TO 3D FIELD ANALYSIS
USING CIRCULAR MEASURE- MENTS 112 3.3.3.1 EXTRACTION OF 3D PLANE WAVES
USING CYLINDRICAL HARMON- ICS DECOMPOSITION WITH EFFECTIVE RADIUS 112
3.3.3.2 EXTRACTION OF 3D PLANE WAVES USING THE RADON TRANSFORM 114 XII
CONTENTS 3.3.3.3 LEAST SQUARES SPHERICAL HARMONICS DECOMPOSITION . . .
.115 3.4 SUMMARY 115 4 WAVE FIELD ANALYSIS USING VIRTUAL CIRCULAR ARRAYS
117 4.1 SEQUENTIAL CIRCULAR MEASUREMENT SETUPS 117 4.1.1 CIRCULAR
MEASUREMENTS 118 4.1.2 VIRTUAL ARRAYS 119 4.2 ANALYSIS OF 2D WAVE FIELDS
120 4.2.1 CONSEQUENCES OF MEASURING EFFECTS ON THE CIRCULAR HARMONICS
DE- COMPOSITION 120 4.2.1.1 MODAL ALIASING 121 4.2.1.2 SENSOR NOISE AND
ARRAY APERTURE 123 4.2.1.3 POSITIONING ERRORS 126 4.2.2 WAVE FIELD
EXTRAPOLATION FROM CIRCULAR HARMONICS DECOMPOSITION 128 4.2.2.1
EXTRAPOLATION INSIDE THE EFFECTIVE APERTURE 129 4.2.2.2 EXTRAPOLATION
OUTSIDE THE EFFECTIVE APERTURE 130 4.2.3 MODE SELECTION 133 4.2.3.1
SIMPLE MODE SELECTION STRATEGIES 135 4.2.3.2 MODAL OPTIMAL FILTERING 139
4.2.4 COMBINING STRATEGIES FOR MEASUREMENTS ON MULTIPLE RADII 143
4.2.4.1 COMBINING OF MEASUREMENTS ON TWO RADII USING HANKEL FUNCTIONS
143 4.2.4.2 SELECTION COMBINING FOR MEASUREMENTS ON MULTIPLE RADII. 148
4.2.4.3 MAXIMUM RATIO COMBINING FOR MEASUREMENTS ON MULTIPLE RADII 150
4.2.5 WAVE FIELD ANALYSIS USING THE PLANE WAVE DECOMPOSITION 153 4.2.5.1
DISCRETE PLANE WAVE DECOMPOSITION 154 4.2.5.2 EXTRAPOLATION FROM THE
DISCRETE PLANE WAVE DECOMPOSITIONL57 4.2.5.3 MODALLY BAND LIMITED PLANE
WAVE DECOMPOSITION . . . . 159 4.3 ERRORS IN 2D ANALYSIS INTRODUCED BY
3D FIELD COMPONENTS 161 4.3.1 AMPLITUDE ERRORS 162 4.3.2 ELEVATED PLANE
WAVES 164 4.3.2.1 ERRORS IN SPEED OF PROPAGATION 164 4.3.2.2 CIRCULAR
HARMONICS DECOMPOSITION AND EXTRAPOLATION . . 165 4.4 SPHERICAL
HARMONICS DECOMPOSITION DERIVED FROM CIRCULAR MEASUREMENTS . 168 4.4.1
ORDER ALIASING 168 4.4.2 PARAMETERIZED SPHERICAL HARMONICS DECOMPOSITION
170 4.4.2.1 DERIVATION OF ELEVATION ANGLES 171 CONTENTS XIII 4.4.2.2 3D
WAVE FIELD EXTRAPOLATION USING PARAMETERIZED SPHER- ICAL HARMONICS
DECOMPOSITION 173 4.4.3 CONCLUSION 175 4.5 SUMMARY 177 5 REALIZATION AND
APPLICATIONS OF WAVE FIELD ANALYSIS USING VIRTUAL CIR- CULAR ARRAYS 179
5.1 REALIZATION 179 5.1.1 MEASUREMENT SYSTEM 180 5.1.2 VIRTUAL CIRCULAR
ARRAY 180 5.1.3 ROOM IMPULSE RESPONSE MEASUREMENTS 183 5.1.3.1 FAILSAFE
OPERATION 184 5.1.4 CARDIOID PATTERN OPTIMIZATION 185 5.2 APPLICATION TO
ROOM ACOUSTIC ANALYSIS 187 5.2.1 MEASUREMENT AND DIRECT INTERPRETATION
OF RIRS 188 5.2.2 2D WAVE FIELD DECOMPOSITION AND EXTRAPOLATION 191
5.2.2.1 CIRCULAR HARMONICS DECOMPOSITION AND EXTRAPOLATION . . 191
5.2.2.2 PLANE WAVE DECOMPOSITION 194 5.2.3 EXTENDED ANALYSIS USING
COMPLEMENTARY 3D SIMULATION 195 5.2.3.1 SIMULATION METHOD 195 5.2.3.2
COMPLEMENTARY ANALYSIS 196 5.2.4 3D WAVE FIELD DECOMPOSITION AND
EXTRAPOLATION 203 5.3 APPLICATION TO AURALIZATION 205 5.3.1 AURALIZATION
BY WAVE FIELD SYNTHESIS 207 5.3.1.1 EXTRAPOLATION FROM THE PLANE WAVE
DECOMPOSITION .... 209 5.3.1.2 WFS RESULTS 210 5.3.2 APPLICATION TO
BINAURAL AURALIZATION TECHNIQUES 213 5.3.2.1 DIRECT CALCULATION OF EAR
SIGNALS 214 5.3.2.2 INCLUSION OF HEAD RELATED TRANSFER FUNCTIONS 215
5.3.3 CONCLUSIONS 216 5.4 SUMMARY 218 6 CONCLUSION 221 A SPECIAL
FUNCTIONS 225 A.L SPHERICAL HARMONICS 225 A.2 BESSEL FUNCTIONS 227 A.3
SPHERICAL BESSEL FUNCTIONS 230 A.4 DELTA DISTRIBUTIONS IN TWO AND THREE
DIMENSIONS 235 XIV CONTENTS * THE INVERSE MODIFIED SPHERICAL HANKEL
TRANSFORM 237 B.L DERIVATION 237 B.2 THE (INVERSE) MODIFIED SPHERICAL
HANKEL TRANSFORM AS A TRANSFORM PAIR . . 238 * SPATIAL FOURIER TRANSFORM
OF THE 3D FREE SPACE GREEN FUNCTION 239 D NOTATIONS 243 BIBLIOGRAPHY 249
|
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| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
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| id | DE-604.BV024629204 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:03:23Z |
| institution | BVB |
| isbn | 9783868530063 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018600828 |
| oclc_num | 551884406 |
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| owner_facet | DE-83 |
| physical | XIV, 264 S. Ill., graph. Darst. |
| publishDate | 2009 |
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| publisher | Hut |
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| spelling | Kuntz, Achim Verfasser (DE-588)137592469 aut Wave field analysis using virtual circular microphone arrays Achim Kuntz 1. Aufl. München Hut 2009 XIV, 264 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Ingenieurwissenschaften Zugl.: Erlangen-Nürnberg, Univ., Diss., 2008 Wellenfeld - Signalanalyse - Mehrdimensionales Signal - Raumakustik Wellenfeld (DE-588)4189544-7 gnd rswk-swf Mehrdimensionales Signal (DE-588)4604981-2 gnd rswk-swf Raumakustik (DE-588)4048567-5 gnd rswk-swf Signalanalyse (DE-588)4181260-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Wellenfeld (DE-588)4189544-7 s Signalanalyse (DE-588)4181260-8 s Mehrdimensionales Signal (DE-588)4604981-2 s Raumakustik (DE-588)4048567-5 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018600828&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kuntz, Achim Wave field analysis using virtual circular microphone arrays Wellenfeld - Signalanalyse - Mehrdimensionales Signal - Raumakustik Wellenfeld (DE-588)4189544-7 gnd Mehrdimensionales Signal (DE-588)4604981-2 gnd Raumakustik (DE-588)4048567-5 gnd Signalanalyse (DE-588)4181260-8 gnd |
| subject_GND | (DE-588)4189544-7 (DE-588)4604981-2 (DE-588)4048567-5 (DE-588)4181260-8 (DE-588)4113937-9 |
| title | Wave field analysis using virtual circular microphone arrays |
| title_auth | Wave field analysis using virtual circular microphone arrays |
| title_exact_search | Wave field analysis using virtual circular microphone arrays |
| title_full | Wave field analysis using virtual circular microphone arrays Achim Kuntz |
| title_fullStr | Wave field analysis using virtual circular microphone arrays Achim Kuntz |
| title_full_unstemmed | Wave field analysis using virtual circular microphone arrays Achim Kuntz |
| title_short | Wave field analysis using virtual circular microphone arrays |
| title_sort | wave field analysis using virtual circular microphone arrays |
| topic | Wellenfeld - Signalanalyse - Mehrdimensionales Signal - Raumakustik Wellenfeld (DE-588)4189544-7 gnd Mehrdimensionales Signal (DE-588)4604981-2 gnd Raumakustik (DE-588)4048567-5 gnd Signalanalyse (DE-588)4181260-8 gnd |
| topic_facet | Wellenfeld - Signalanalyse - Mehrdimensionales Signal - Raumakustik Wellenfeld Mehrdimensionales Signal Raumakustik Signalanalyse Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018600828&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kuntzachim wavefieldanalysisusingvirtualcircularmicrophonearrays |