Cosine-/Sine-modulated filter banks : general properties, fast algorithms and integer approximations

Description

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. Details the perfect reconstruction cosine/sine-modulated analysis/synthesis filter banks (unified treatment of TDAC-MDCTs/MDSTs both for the evenly and oddly stacked systems, MLT, ELT, MCLT) and near-perfect cosine/sine-modulated QMF banks Front Matter ....Pages i-xxvi Cosine/Sine-Modulated Analysis/Synthesis Filter Banks (Vladimir Britanak, K. R. Rao)....Pages 1-12 Audio Coding Standards, (Proprietary) Audio Compression Algorithms, and Broadcasting/Speech/Data Communication Codecs: Overview of Adopted Filter Banks (Vladimir Britanak, K. R. Rao)....Pages 13-37 MDCT/MDST, MLT, ELT, and MCLT Filter Banks: Definitions, General Properties, and Matrix Representations (Vladimir Britanak, K. R. Rao)....Pages 39-98 Fast MDCT/MDST, MLT, ELT, and MCLT Algorithms (Vladimir Britanak, K. R. Rao)....Pages 99-206 Efficient Implementations of Cosine-Modulated Pseudo-QMF and MLT (MDCT) Filter Banks in MP3 (Vladimir Britanak, K. R. Rao)....Pages 207-326 Perfect Reconstruction Cosine/Sine-Modulated Filter Banks in the Dolby Digital (Plus) AC-3 Audio Coding Standards (Vladimir Britanak, K. R. Rao)....Pages 327-413 Spectral Band Replication Compression Technology: Efficient Implementations of Complex Exponential- and Cosine-Modulated QMF Banks (Vladimir Britanak, K. R. Rao)....Pages 415-455 Efficient Implementations of Perfect Reconstruction Low Delay Cosine-Modulated Filter Banks in the MPEG-4 AAC-ELD (Vladimir Britanak, K. R. Rao)....Pages 457-484 Integer Approximate Cosine/Sine-Modulated Filter Banks (Vladimir Britanak, K. R. Rao)....Pages 485-561 Back Matter ....Pages 563-645