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Parallelization of fast wavelet transform.

Shum Yu Hing. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1994. / Includes bibliographical references (leaves 140-143). / ABSTRACT --- p.1 / Chapter 1. --- INTRODUCTION / Chapter 1.1. --- Fourier Analysis --- p.3 / Chapter 1.2. --- Wavelet Analysis --- p.6 / Chapter 1.3. --- Parallelization --- p.10 / Chapter 1.3.1. --- Data Dependency Analysis / Chapter 2. --- LITERATURE SURVEY / Chapter 2.1. --- One Dimensional Fast Wavelet Transform (Discrete) --- p.13 / Chapter 2.2. --- Shared Memory Architecture : Parallel Virtual Machine (PVM) / Chapter 2.3. --- Distributed Memory Architecture : Massively Parallel Machine (DECmpp) --- p.21 / Chapter 3. --- THEORY / Chapter 3.1. --- Parallel Processing / Chapter 3.1.1. --- Amdahl ´ةs Law --- p.25 / Chapter 3.1.2. --- Quality Factor --- p.31 / Chapter 3.2. --- Parallel Architecture / Chapter 3.2.1. --- Pipelining --- p.32 / Chapter 3.2.2. --- Vector Processors --- p.34 / Chapter 3.2.3. --- Multiprocessor --- p.34 / Chapter 3.2.4 --- Array Processors --- p.36 / Chapter 3.2.5. --- Systolic Array Processing --- p.37 / Chapter 3.2.6. --- Granularity --- p.40 / Chapter 3.2.7. --- Load Balancing & Throughput --- p.42 / Chapter 3.3. --- Parallel Programming --- p.43 / Chapter 3.4. --- Parallel Numerical Algorithm / Chapter 3.4.1. --- Parallelism Within a Statement --- p.44 / Chapter 3.4.2. --- Parallelism Between Statements --- p.47 / Chapter 4. --- IMPLEMENTATION / Chapter 4.1. --- Sequential Version --- p.49 / Chapter 4.2. --- Parallel Version / Chapter 4.2.1. --- Matrix Representation of Wavelet Transform / Chapter 4.2.1.1. --- Decomposition --- p.52 / Chapter 4.2.1.2. --- Reconstruct ion --- p.55 / Chapter 4.2.2. --- Parallel Virtual Machine (PVM) / Chapter 4.2.2.1. --- Parallel Algorithm / Chapter (a) --- HOST --- p.56 / Chapter (b) --- NODE --- p.57 / Chapter 4.2.2.2. --- Flowcharts --- p.59 / Chapter 4.2.2.3. --- Timing Model Analysis --- p.65 / Chapter 4.2.2.4 --- Quality Factor / Chapter (a) --- Decomposition --- p.71 / Chapter (b) --- Reconstruction --- p.72 / Chapter 4.2.3. --- Massively Parallel Machine - DECmpp --- p.73 / Chapter 4.2.3.1. --- Parallel Algorithm for ACU & PEs / Chapter 4.2.3.2. --- Flowcharts --- p.75 / Chapter 4.2.3.3. --- Timing Model Analysis / Chapter (a) --- Communication Strategy --- p.77 / Chapter (b) --- Decomposition --- p.78 / Chapter (c) --- Reconstruct ion --- p.87 / Chapter 4.2.3.4. --- Quality Factor / Chapter (a) --- Decomposition --- p.89 / Chapter (b) --- Reconstruction --- p.89 / Chapter 4.2.3.5. --- Mapping --- p.92 / Chapter 5. --- RESULT / Chapter 5.1. --- Parallel Virtual Machine (PVM) / Chapter 5.1.1. --- Sequential Version --- p.93 / Chapter 5.1.2. --- Parallel Version --- p.103 / Chapter 5.2. --- Massively Parallel Machine - DECmpp / Chapter 5.2.1. --- Sequential Vers ion --- p.104 / Chapter 5.2.2. --- Parallel Version --- p.110 / Chapter 5.3. --- Output File Generated from both machines --- p.118 / Chapter 6. --- DISCUSSION / Chapter 6.1. --- Application on real time situation --- p.123 / Chapter 6.2. --- Two dimensional or Multidimensional case --- p.123 / Chapter 6.3. --- Block Algorithm Approach / Chapter 6.3.1. --- Blocked --- p.124 / Chapter 6.3.2. --- Row Wrapped --- p.126 / Chapter 6.4. --- Memory Requirement --- p.127 / Chapter 6.5. --- Signal Size Prediction / Chapter 6.5.1. --- Method A --- p.131 / Chapter 6.5.2. --- Method B --- p.133 / Chapter 7. --- CONCLUSION --- p.134 / Chapter 8. --- FUTURE MODIFICATION --- p.138 / REFERENCE --- p.140 / LISTING --- p.144 / APPENDIX I - Technical Information of PVM --- p.145 / Chapter II - --- Technical Information of DECmpp --- p.152 / Chapter III - --- Some Tips/Guide --- p.165

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_318179
Date January 1994
ContributorsShum, Yu Hing., Chinese University of Hong Kong Graduate School. Division of Information Engineering.
PublisherChinese University of Hong Kong
Source SetsThe Chinese University of Hong Kong
LanguageEnglish
Detected LanguageEnglish
TypeText, bibliography
Formatprint, [4], 165 leaves : ill. ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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