This book covers various algorithmic developments in the perfect reconstruction cosine/sine-modulated filter banks (TDAC-MDCT/MDST or MLT, MCLT, low delay MDCT, complex exponential/cosine/sine-modulated QMF filter banks), and near-perfect reconstruction QMF banks (pseudo-QMF banks) in detail, including their general mathematical properties, matrix representations, fast algorithms and various methods to integer approximations being recently a new transform technology for lossless audio coding. Each chapter will contain a number of examples and will conclude with problems and exercises. The book reflects the research efforts/activities and achieved results of the authors in the time period over the last 20 years.
Vladimir 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 Commenius University in Bratislava, the PhD. degree in Computer Science in 1995 from Slovak Academy of Sciences in Bratislava, and the DrSc. degree in Computer and Informatics Sciences in 2013 from the University of Matej Bel in Banska Bystrica, Slovak Republic. He is currently with the Institute of Informatics of Slovak Academy of Sciences, Bratislava, where he works as the senior scientific worker. His research interests include digital signal processing, especially the discrete unitary sinusoidal transforms and perfect reconstruction cosine/sine-modulated filter banks: General properties, fast algorithms, (block) matrix factorizations and integer approximations. Together with Prof. K. R. Rao and P. Yip he has published a book "Discrete Cosine and Sine Transforms: General Properties, Fast Algorithms and Integer Approximations", Academic Press, Amsterdam, 2007.
K. R. Rao received the Ph. D. degree in electrical engineering from The University of New Mexico, Albuquerque in 1966. He is now working as a professor of electrical engineering in the University of Texas at Arlington, (UTA) Texas. He has published (coauthored) 19 books, some of which have been translated into Chinese, Japanese, Korean, Spanish and Russian. Also as e-books and paper back (Asian) editions. He has supervised 113 Masters and 31 doctoral students. He has published extensively and conducted tutorials/workshops worldwide. He has been a visiting professor in National university of Singapore and electronics and telecommunications research institute (ETRI) , Taejon, Korea. He has been a keynote speaker in many national and international conferences. He has been a consultant to academia, industry and research institutes. He has been an external examiner for several M.S. and Ph. D. students worldwide. He has been a reviewer of research proposals from Brazil, China, India, Korea, Singapore, Taiwan, Thailand and US. He was invited to review applications for recruitment and/or promotion of faculty in various Universities (US and abroad). He is an IEEE Fellow. He has been a member of the academy of distinguished scholars, UTA.
Introduction.- Cosine/sine-modulated analysis/synthesis ?lter banks.- Audio coding standards, (proprietary) audio compression algorithms and broadcasting/speech/data communication codecs.- MDCT/MDST, MLT, ELT and MCLT Filter Banks: De?nitions, General Properties and Matrix Representations.- Fast MDCT/MDST, MLT, ELT and MCLT Algorithms.- E?cient implementations of cosine-modulated pseudo-QMF and MLT (MDCT) ?lter banks in MP3.- Perfect reconstruction cosine/sine-modulated ?lter banks in the Dolby Digital (Plus) AC-3 audio coding standards.- Spectral Band Replication Compression Technology: E?cient Implementations of Complex Exponential- and Cosine-modulated QMF Banks.- E?cient implementations of perfect reconstruction low delay cosine-modulated ?lter banks in the MPEG-4 AAC-ELD.- Integer approximate cosine/sine-modulated ?lter banks.- Appendices.- Conclusion.