Holdings: Sparse sampling for scatterer localisation

Sparse sampling for scatterer localisation:

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Bibliographic Details
Main Author:	Angierski, André 1984- (Author)
Format:	Thesis Book
Language:	English
Published:	Aachen Shaker Verlag 2016
Series:	Berichte aus der Elektrotechnik
Subjects:	Komprimierte Abtastung Streuung Lokalisation Hochschulschrift
Online Access:	Inhaltsverzeichnis
Item Description:	Zusammenfassung in deutscher und englischer Sprache. - "This thesis has been written as part of the project 'Velocity estimation for sequences of sparse images', supported by the German Research Foundation (DFG)."
Physical Description:	ix, 241 Seiten Illustrationen, Diagramme
ISBN:	3844042318 9783844042313

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adam_text	CONTENTS ACKNOWLEDGEMENT ABSTRACT III ZUSAMMENFASSUNG V 1 INTRODUCTION 1 1.1 B ACKGROUND...................................................................................................... 1 1.2 MOTIVATION.......................................................................................................... 2 1.3 OUTLINE & CONTRIBUTION..................................................................................... 5 2 MAGE-BASED FLOW MEASUREMENTS 9 2.1 EXPERIMENTAL S ETUP....................................................................................... 10 2.1.1 C A M E RA ................................................ ............................................ 11 2.1.2 L ASER................................................................................................... 12 2.1.3 RECORDING T ECHNIQUES..................................................................... 13 2.1.4 PARTICLE SEEDING................................................................................. 15 2.2 MOTION E STIM A TIO N ....................................................................................... 15 2.2.1 LOW PARTICLE D E N SITIE S..................................................................... 15 2.2.2 H GH PARTICLE D ENSITIES..................................................................... 18 3 SAMPLING 19 3.1 SAMPLING T H E O RE M ....................................................................................... 19 3.2 FINITE RATE OF INNOVATION.............................................................................. 22 32.1 SIGNAL M O D E L.................................................................................... 22 3.2.2 PROJECTION & S AM PLING..................................................................... 27 3.2.3 LINEAR ALGEBRA IN TERP RETATIO N ......................................................... 36 3.2.4 SPECTRAL ESTIMATION........................................................................... 39 3.2.5 C OM PLEXITY....................................................................................... 47 3.2.6 PERFORMANCE............................................................................................. 51 3.3 COMPRESSED S E N SIN G .................................................................................... 57 3.3.1 PROJECTION & S AM PLING..................................................................... 58 3.3.2 R ECONSTRUCTION................................................................................. 62 3.3.3 COMPRESSED SENSING FOR 2-D APPLICATIONS .................................... 66 3.4 C OM PARISON................................................................................................... 68 3.5 S U M M A RY ..................................................................................................... 73 4 SUB-NYQUIST SAMPLING 75 4.1 MOTIVATION..................................................................................................... 75 4.2 A NALYSIS........................................................................................................ 7* 4.3 PERFORMANCE.................................................................................................. 84 4.4 S U M M A RY ..................................................................................................... 87 5 CRAMER-RAO BOUND 89 5.1 PRELIM INARIES............................................................................................... 89 5.2 A NALYSIS..............................................................................................................91 5.2.1 1-D FRI S IGNALS...................................................................................... 91 5.2.2 1-D FRI SIGNALS & SUB_NYQUIST SAMPLING . . . . . . . . . . . . . . 98 5.3 COMPARISON WITH SPECTRAL ESTIM ATORS ........................................................ 99 5.4 S U M M A RY ..................................................................................................... 104 6 QUANTISATION 107 6.1 INTEGRATE & DUM P......................................................................................... 107 6.2 AMPLITUDE Q U AN TISATIO N ............................................................................. 109 6.2.1 QUANTISER D ESIG N ............................................................................. 109 6.2.2 QUANTISATION ERRORS...............................................................................I L L 6.3 OPTIMAL UNIFORM QUANTISATION WITH FIXED B ITLO AD ........................................113 6.3.1 UNIFORM QUANTISATION E R R O R ............................................................ 114 6.3.2 GAUSSIAN QUANTISATION E RRO R ............................................................... 118 6.4 NUMERICAL EVALUATION IN REALSTIC S C E N A RIO S............................................. 119 6.5 S U M M A RY ......................................................................................................... 125 7 IMPLEMENTATIONS FOR IMAGE-BASED SCATTERER LOCALISATION 127 7.1 SIGNAL MODEL R EVISITED................................................................................. 127 7.2 IMPLEMENTATIONS FOR LOWPASS PROJECTIONS ................................ 131 7.2.1 PLANE WAVE ILLUMINATION & TRANSFORMATION IN OPTICS . . . . . . . 132 7.2.2 COHERENT ILLUMINATION, TRANSFORMATION IN OPTICS & PHASE RETRIEVAL 142 7.2.3 INCOHERENT WHITE LIGHT ILLUMINATION & TRANSFORMATION IN OPTICS . 144 7.2.4 DIGITAL TRANSFORMATION & FRI SIGNAL PROCESSING . . . . . . . . . . 148 7.2.5 DIGITAL TRANSFORMATION & C S SIGNAL PROCESSING . . . . . . . . . . . 153 7.2.6 COMPARISON.......................................................................................... 155 7.3 MOTION E STIM ATIO N .......................................................................................... 156 7.3.1 SCATTERER M A P P IN G .......................................................................... 157 7.3.2 SPECTRAL MOTION E STIM A TIO N ............................................................... 158 7.3.3 PERFORMANCE..........................................................................................160 7.4 S U M M A RY .........................................................................................................165 8 CONCLUSION 167 VI 8.1 S U M M A RY ...................................................................................................... 167 8.2 FUTURE W ORK................................................................................................... 168 APPENDIX 171 A ADDITIONAL MATHEMATICAL MATERIAL 173 A I MOORE-PENROSE PSEUDO INVERSE .................................................................... 173 .2 FISHER INFORMATION M A TRIX .......................................................................... 174 .3 FISHER INFORMATION MATRIX (WITH QUANTISATION NOISE) . . . . . . . . . . . 182 B ESTIMATION 185 .1 GAUSSIAN PROJECTION...................................................................................... 185 .2 ANNIHILATING F I L T E R ...................................................................................... 187 .3 MUSIC = ...................................................................................................... 191 .4 ESPRIT ........................................................................................................ 193 .5 UNITARY ESPRIT............................................................................................ 198 .6 2-D E SPR IT ......................................................................................................201 .7 2_D UNITARY ESPRIT..........................................................................................206 .8 ORTHOGONAL MATCHING P U R S U IT........................................................................ 209 .9 BAYESIAN-OPTIMAL APPROXIMATE 210 BIBLIOGRAPHY 213 ABBREVIATIONS 233 SYMBOLS 235 CURRICULUM VITAE 239 DECLARATION 241
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physical	ix, 241 Seiten Illustrationen, Diagramme
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publisher	Shaker Verlag
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series2	Berichte aus der Elektrotechnik
spelling	Angierski, André 1984- Verfasser (DE-588)1095495186 aut Sparse sampling for scatterer localisation André Angierski Aachen Shaker Verlag 2016 ix, 241 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Berichte aus der Elektrotechnik Zusammenfassung in deutscher und englischer Sprache. - "This thesis has been written as part of the project 'Velocity estimation for sequences of sparse images', supported by the German Research Foundation (DFG)." Dissertation Universität Rostock 2016 Komprimierte Abtastung (DE-588)1036377245 gnd rswk-swf Streuung (DE-588)4058056-8 gnd rswk-swf Lokalisation (DE-588)4195351-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Komprimierte Abtastung (DE-588)1036377245 s Streuung (DE-588)4058056-8 s Lokalisation (DE-588)4195351-4 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028890927&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Angierski, André 1984- Sparse sampling for scatterer localisation Komprimierte Abtastung (DE-588)1036377245 gnd Streuung (DE-588)4058056-8 gnd Lokalisation (DE-588)4195351-4 gnd
subject_GND	(DE-588)1036377245 (DE-588)4058056-8 (DE-588)4195351-4 (DE-588)4113937-9
title	Sparse sampling for scatterer localisation
title_auth	Sparse sampling for scatterer localisation
title_exact_search	Sparse sampling for scatterer localisation
title_full	Sparse sampling for scatterer localisation André Angierski
title_fullStr	Sparse sampling for scatterer localisation André Angierski
title_full_unstemmed	Sparse sampling for scatterer localisation André Angierski
title_short	Sparse sampling for scatterer localisation
title_sort	sparse sampling for scatterer localisation
topic	Komprimierte Abtastung (DE-588)1036377245 gnd Streuung (DE-588)4058056-8 gnd Lokalisation (DE-588)4195351-4 gnd
topic_facet	Komprimierte Abtastung Streuung Lokalisation Hochschulschrift
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