Discrete Cosine and Sine Transforms

V. Britanak graduated in mathematics in 1978, received the RNDr. degree in Theoretical cybernetics and Mathematical informatics in 1987 from the Faculty of Mathematics and Physics of Comenius University in Bratislava, and the CSc. degree (equivalent to PhD) in Computer science in 1995 from Slovak Academy of Sciences in Bratislava. He is currently with the Institute of Informatics of Slovak Academy of Sciences, Bratislava, where he works as senior researcher. His research interests include digital image and signal processing, discrete orthogonal sinusoidal transforms and perfect reconstruction cosine/sine modulated filter banks (MDCT/MDST): fast algorithms, matrix factorizations and integer approximations. He has published several articles in refereed journals. He is a member of IEEE. Before his retirement in 2004, Pat Yip has been active in the area of digital signal processing. He has published numerous articles in technical journals and has taught courses in Engineering Mathematics. Several doctoral candidates have completed their research under his supervision. K. R. Rao received the PhD degree in electrical engineering from The University of New Mexico, Albuquerque in 1966. Since 1966, he has been with the University of Texas at Arlington where he is currently a professor of electrical engineering. He, along with two other researchers introduced the Discrete Cosine Transform in 1975 which has since become very popular in digital signal processing. He is the co-author of the books “Orthogonal Transforms for Digital Signal Processing” (Springer-Verlag, 1975). Also recorded for the blind in Braille by the Royal National Institute for the blind: “Fast Transforms: Analyses and Applications” (Academic Press, 1982), “Discrete Cosine Transform: Algorithms, Advantages, Applications” (Academic Press, 1990). He has edited a benchmark volume “Discrete Transforms and Their Applications” (Van Nostrand Reinhold, 1985). He has coedited a benchmark volume, “Teleconferencing” (Van Nostrand Reinhold, 1985). He is co-author of the books, “Techniques and Standards for Image/Video/Audio Coding” (Prentice Hall, 1996), “Packet Video Communications over ATM Networks” (Prentice Hall, 2000) and “Multimedia Communication Systems” (Prentice Hall, 2002). He has coedited a handbook “The Transform and Data Compression Handbook” (CRC Press, 2001), “Digital Video Image Quality and Perceptual Coding”, (with H. R. Wu), Taylor and Francis, Nov. 2005, “Introduction to Multimedia Communications: Applications, Middleware, Networking” (with Z. S. Bojkovic and D. A. Milovanovic), Wiley, 2005. Some of his books have been translated into Japanese, Chinese, Korean and Russian and also published as Asian (paperback) editions. He has been an external examiner for graduate students from Universities in Australia, Canada, Hong Kong, India, Singapore, Thailand and Taiwan. He was a visiting professor in several Universities - 3 to 7 weeks and 1/2 months (Australia, Japan, Korea, Singapore and Thailand). He has conducted workshops/tutorials on video/audio coding standards

1. Discrete Cosine and Sine Transforms
2. Definitions and General Properties
3. The Karhunen-Loéve Transform and Optimal Decorrelation
4. Fast DCT/DST Algorithms
5. Integer Discrete Cosine/Sine Transforms