Discrete cosine transform: algorithms, advantages, applications
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston u.a.
Acad. Press
1990
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 490 S. Ill., graph. Darst. |
| ISBN: | 012580203X |
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Datensatz im Suchindex
| _version_ | 1804123311715647488 |
|---|---|
| adam_text | DISCRETE COSINE
TRANSFORM
Algorithms, Advantages
Applications
K R RAO
The University of Texas at Arlington
Department of Electrical Engineering
Arlington, Texas
McMaster University
Department of Mathematics and Statistics
and Communications Research Laboratory
Hamilton, Ontario
Canada
Boston San Diego New York
London Sydney Tokyo Toronto
P YIP
ACADEMIC PRESS, INC
Harcourt Brace Jovanovich, Publishers
Inv -Nr 2 02 4 ? -33^
This book is printed on acid-free paper ©
Copyright © 1990 by Academic Press, Inc
ALL RIGHTS RESERVED
NO PART OF THIS PUBLICATION MAY BE REPRODUCED OR
TRANSMITTED IN ANY FORM OR BY ANY MEANS, ELECTRONIC
OR MECHANICAL, INCLUDING PHOTOCOPY, RECORDING, OR
ANY INFORMATION STORAGE AND RETRIEVAL SYSTEM, WITHOUT
PERMISSION IN WRITING FROM THE PUBLISHER
ACADEMIC PRESS, INC
1250 Sixth Avenue, San Diego, CA 92101 UnlvOTiit amp;*•- Uftd *
L*nriw amp;bib£-ot4 tak
Darmsta^tt
United Kingdom Edition published by
ACADEMIC PRESS LIMITED
24-28 Oval Road London NW1 7DX
Library of Congress Cataloging-in-Publication Data
Rao, KR, 1990
Discrete cosine transform : algorithms, advantages, and
applications /KR Rao, P Yip
p cm
Includes bibliographical references
ISBN 0-12-580203-X
1 Signal processing—Mathematics 2 Transformations
(Mathematics) I Yip, P (Ping), 1956- II Title
TK5102 5 R335 1990 89-29800
621 382 2 0151 —dc20 Cl P
PRINTED IN THE UNITED STATES OF AMERICA
90 91 92 93 987654321
CONTENTS
Preface 1X
Acknowledgments X1
List of Acronyms xl11
Notation xv
Chapter 1 Discrete Cosine Transform 1
1 1 Introduction 1
1 2 Organization of the Book 4
1 3 Appendices 5
1 4 References 6
Chapter 2 Definitions and General Properties 7
2 1 Introduction 7
2 2 The Fourier Cosine Transform 7
2 3 Definitions 10
2 4 The Unitarity of DCTs 12
2 5 Scaling in Time 16
2 6 Shift in Time 17
2 7 The Difference Property 21
2 8 The Convolution Property 22
2 9 Summary 25
Problems 25
Chapter 3 DCT and Its Relations to the Karhunen-Loeve
Transform 27
3 1 Introduction 27
3 2 The Karhunen-Loeve Transform 28
v
VI
CONTENTS
3 3 The DCT-I and DCT-II 32
3 4 Asymptotic Equivalence and the Generation of Discrete
Unitary Transforms 38
3 5 Summary 47
Problems 47
Chapter 4 Fast Algorithms for DCT-II 48
4 1 Introduction 48
4 2 DCT via FFT 49
4 3 Direct Computation by Sparse Matrix Factorizations 53
4 4 Decimation-in-Time (DIT) and Decimation-in-Frequency
(DIF) Algorithms 56
4 5 DCT via Other Discrete Transforms 62
4 6 Other Algorithms 65
4 7 Summary 81
Problems 82
Chapter 5 Two-Dimensional DCT Algorithms 88
5 1 Introduction 88
5 2 Two-Dimensional DCT by Reduction to One-
Dimensional DCT 90
5 3 Block Matrix Decomposed Algorithm 96
5 4 Computation via Two-Dimensional DFT 102
5 5 Two-Dimensional DCT via WHT 104
5 6 Hardware Implementation of DCT Processor 106
5 7 Summary 119
Problems 120
Chapter 6 Performance of the DCT 122
6 1 Introduction 122
6 2 Variance Distribution 122
6 3 Energy Packing Efficiency (EPE) 123
6 4 Residual Correlation 128
6 5 Rate Distortion and Maximum Reducible Bits 128
6 6 Generalized Wiener Filtering 132
6 7 Summary 134
Problems 135
CONTENTS
Vll
Chapter 1 Applications of the DCT 136
7 1 Introduction 136
7 2 Filtering 140
7 3 Decimation and Interpolation 141
7 4 LMS Filtering 144
7 5 Transmultiplexers 145
7 6 Speech Coding 146
7 7 Cepstral Analysis 162
7 8 Image Coding 163
7 9 DCT/VQ 207
7 10 Low Bit-Rate Coding 240
7 11 HDTV Image Coding 273
7 12 Block Structure/Distortion in Transform Image Coding 286
7 13 Activity Classification in Adaptive Transform Coding 292
7 14 HVS in Transform Coding 303
7 15 Data Compression 305
7 16 Classification 307
7 17 Surface Texture Analysis 308
7 18 Topographic Classification 308
7 19 Photovideotex 309
7 20 Pattern Recognition 312
7 21 Progressive Image Transmission 312
7 22 Printed Image Coding 334
7 23 Packet Video 335
7 24 BTC/Transform Coding 344
7 25 Summary 344
Problems 344
Appendices
A l Computer Programs for DCT-II and IDCT-II, JV = 8 and
16 [FRA-3, FRA-4] 349
A 2 Computer Programs for DCT-II and IDCT-II, N=8 and
16 [FD-1, FRA-12] 370
A 3 Computer Program for 2D 16 x 16 DCT and IDCT 394
A 4 Computer Program for Generating Lloyd-Max
Quantizer 400
A 5 Computer Program for Block Quantization 413
A 6 Computer Program for DHT 417
A 7 Computer Program for DCT via DHT 422
A 8 Computer Program for DCT-IV 425
A 9 Computer Program for DST 428
CONTENTS
viii
A 10 Computer Program for DST-IV 431
A 11 Computer Program for LOT 434
B l DCT VLSI Chip Manufacturers 439
B 2 Image Compression Boards 443
B 3 Motion Estimation VLSI Chip Manufacturers 447
References 450
Index
|
| any_adam_object | 1 |
| author | Rao, Kamisetty Ramamohan Yip, Ping |
| author_facet | Rao, Kamisetty Ramamohan Yip, Ping |
| author_role | aut aut |
| author_sort | Rao, Kamisetty Ramamohan |
| author_variant | k r r kr krr p y py |
| building | Verbundindex |
| bvnumber | BV008973761 |
| callnumber-first | T - Technology |
| callnumber-label | TK5102 |
| callnumber-raw | TK5102.5 |
| callnumber-search | TK5102.5 |
| callnumber-sort | TK 45102.5 |
| callnumber-subject | TK - Electrical and Nuclear Engineering |
| classification_rvk | SK 450 ZN 6025 |
| classification_tum | MAT 424f ELT 502f |
| ctrlnum | (OCoLC)20670551 (DE-599)BVBBV008973761 |
| dewey-full | 621.382/2/0151 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.382/2/0151 |
| dewey-search | 621.382/2/0151 |
| dewey-sort | 3621.382 12 3151 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| id | DE-604.BV008973761 |
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| isbn | 012580203X |
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| publisher | Acad. Press |
| record_format | marc |
| spelling | Rao, Kamisetty Ramamohan Verfasser aut Discrete cosine transform algorithms, advantages, applications K. R. Rao ; P. Yip Boston u.a. Acad. Press 1990 XVIII, 490 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Analise numerica larpcal Estatistica aplicada larpcal Processamento grafico (graphics) larpcal Traitement du signal - Mathématiques Traitement du signal - Mathématiques ram Transformations (Mathématiques) Transformations (mathématiques) ram algorithme rapide inriac cosinus inriac traitement signal inriac transformation inriac Mathematik Signal processing Mathematics Transformations (Mathematics) Digitale Signalverarbeitung (DE-588)4113314-6 gnd rswk-swf Transformation (DE-588)4451062-7 gnd rswk-swf Diskrete Fourier-Kosinustransformation (DE-588)4280352-4 gnd rswk-swf Signalverarbeitung (DE-588)4054947-1 gnd rswk-swf Transformation Mathematik (DE-588)4060637-5 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf Signalverarbeitung (DE-588)4054947-1 s Transformation Mathematik (DE-588)4060637-5 s DE-604 Diskrete Fourier-Kosinustransformation (DE-588)4280352-4 s Transformation (DE-588)4451062-7 s 1\p DE-604 Fourier-Transformation (DE-588)4018014-1 s 2\p DE-604 Digitale Signalverarbeitung (DE-588)4113314-6 s 3\p DE-604 Yip, Ping Verfasser aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005925431&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rao, Kamisetty Ramamohan Yip, Ping Discrete cosine transform algorithms, advantages, applications Analise numerica larpcal Estatistica aplicada larpcal Processamento grafico (graphics) larpcal Traitement du signal - Mathématiques Traitement du signal - Mathématiques ram Transformations (Mathématiques) Transformations (mathématiques) ram algorithme rapide inriac cosinus inriac traitement signal inriac transformation inriac Mathematik Signal processing Mathematics Transformations (Mathematics) Digitale Signalverarbeitung (DE-588)4113314-6 gnd Transformation (DE-588)4451062-7 gnd Diskrete Fourier-Kosinustransformation (DE-588)4280352-4 gnd Signalverarbeitung (DE-588)4054947-1 gnd Transformation Mathematik (DE-588)4060637-5 gnd Fourier-Transformation (DE-588)4018014-1 gnd |
| subject_GND | (DE-588)4113314-6 (DE-588)4451062-7 (DE-588)4280352-4 (DE-588)4054947-1 (DE-588)4060637-5 (DE-588)4018014-1 |
| title | Discrete cosine transform algorithms, advantages, applications |
| title_auth | Discrete cosine transform algorithms, advantages, applications |
| title_exact_search | Discrete cosine transform algorithms, advantages, applications |
| title_full | Discrete cosine transform algorithms, advantages, applications K. R. Rao ; P. Yip |
| title_fullStr | Discrete cosine transform algorithms, advantages, applications K. R. Rao ; P. Yip |
| title_full_unstemmed | Discrete cosine transform algorithms, advantages, applications K. R. Rao ; P. Yip |
| title_short | Discrete cosine transform |
| title_sort | discrete cosine transform algorithms advantages applications |
| title_sub | algorithms, advantages, applications |
| topic | Analise numerica larpcal Estatistica aplicada larpcal Processamento grafico (graphics) larpcal Traitement du signal - Mathématiques Traitement du signal - Mathématiques ram Transformations (Mathématiques) Transformations (mathématiques) ram algorithme rapide inriac cosinus inriac traitement signal inriac transformation inriac Mathematik Signal processing Mathematics Transformations (Mathematics) Digitale Signalverarbeitung (DE-588)4113314-6 gnd Transformation (DE-588)4451062-7 gnd Diskrete Fourier-Kosinustransformation (DE-588)4280352-4 gnd Signalverarbeitung (DE-588)4054947-1 gnd Transformation Mathematik (DE-588)4060637-5 gnd Fourier-Transformation (DE-588)4018014-1 gnd |
| topic_facet | Analise numerica Estatistica aplicada Processamento grafico (graphics) Traitement du signal - Mathématiques Transformations (Mathématiques) Transformations (mathématiques) algorithme rapide cosinus traitement signal transformation Mathematik Signal processing Mathematics Transformations (Mathematics) Digitale Signalverarbeitung Transformation Diskrete Fourier-Kosinustransformation Signalverarbeitung Transformation Mathematik Fourier-Transformation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005925431&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT raokamisettyramamohan discretecosinetransformalgorithmsadvantagesapplications AT yipping discretecosinetransformalgorithmsadvantagesapplications |