Discrete Cosine Transform: Algorithms, Advantages, Applications

Front Cover
Academic Press, Jun 28, 2014 - Mathematics - 512 pages
This is the first comprehensive treatment of the theoretical aspects of the discrete cosine transform (DCT), which is being recommended by various standards organizations, such as the CCITT, ISO etc., as the primary compression tool in digital image coding. The main purpose of the book is to provide a complete source for the user of this signal processing tool, where both the basics and the applications are detailed. An extensive bibliography covers both the theory and applications of the DCT. The novice will find the book useful in its self-contained treatment of the theory of the DCT, the detailed description of various algorithms supported by computer programs and the range of possible applications, including codecs used for teleconferencing, videophone, progressive image transmission, and broadcast TV. The more advanced user will appreciate the extensive references. Tables describing ASIC VLSI chips for implementing DCT, and motion estimation and details on image compression boards are also provided.
 

Contents

CHAPTER 1 DISCRETE COSINE TRANSFORM
1
CHAPTER 2 DEFINITIONS AND GENERAL PROPERTIES
7
CHAPTER 3 DCT AND ITS RELATIONS TO THE KARHUNENLOEVE TRANSFORM
27
CHAPTER 4 FAST ALGORITHMS FOR DCTII
48
CHAPTER 5 TWODIMENSIONAL DCT ALGORITHMS
88
CHAPTER 6 PERFORMANCE OF THE DCT
122
CHAPTER 7 APPLICATIONS OF THE DCT
136
COMPUTER PROGRAMS FOR DCTII AND IDCTII N 8 AND 16 FRA3 FRA4
349
COMPUTER PROGRAM FOR DHT
417
COMPUTER PROGRAM FOR OCT VIA OHT
422
COMPUTER PROGRAM FOR DCTIV
425
COMPUTER PROGRAM FOR DST
428
COMPUTER PROGRAM FOR DSTIV
431
COMPUTER PROGRAM FOR LOT
434
DCT VLSI CHIP MANUFACTURERS
439
IMAGE COMPRESSION BOARDS
443

COMPUTER PROGRAMS FOR DCTII AND IDCTII N 8 AND 16 FD1 FRA12
370
PROGRAM FOR 2D 16x16 DCT AND IDCT
394
COMPUTER PROGRAM FOR GENERATING LLOYDMAX QUANTIZER
400
COMPUTER PROGRAM FOR BLOCK QUANTIZATION
413
MOTION ESTIMATION VLSI CHIP MANUFACTURERS
447
REFERENCES
450
INDEX
484
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information